82.162.080: Alle Teiler von ganze Zahl

Die Teiler der ganzen Zahl 82.162.080

Der schnellste Weg, um alle Teiler von 82.162.080 zu finden: 1) Zerlegen Sie es in die Primzahlen und 2) Probieren Sie alle Kombinationen der Primzahlen aus, die unterschiedliche Ergebnisse liefern

Hinweis:

Teiler einer Zahl A: eine Zahl B, die bei Multiplikation mit einem anderen C die gegebene Zahl A ergibt. Sowohl B als auch C sind Teiler von A.



Primfaktorzerlegung:

Zerlegung einer Zahl in Primfaktoren - findet die Primzahlen, die sich zu dieser Zahl multiplizieren.


82.162.080 = 25 × 33 × 5 × 7 × 11 × 13 × 19;
82.162.080 ist keine Primzahl, ist Zusammengesetzte Zahl;


* Die Zahlen die sich nur durch sich und durch 1 teilen, heißen Primzahlen. Eine Primzahl hat nur zwei Teiler: 1 und sich selbst.
* Eine zusammengesetzte Zahl ist eine Ganzzahl, die mindestens einen anderen Teiler als 1 und sich selbst hat.




Wie finde ich alle Teiler der Zahl?

82.162.080 = 25 × 33 × 5 × 7 × 11 × 13 × 19


Holen Sie sich alle Kombinationen (Multiplikationen) der Primzahlen der Zahl, die unterschiedliche Ergebnisse liefern.


Berücksichtigen Sie auch die Exponenten der Primzahlen.


Fügen Sie auch 1 in die Liste der Teilern. Alle Zahlen sind teilbar durch 1.


Alle Teiler sind unten in aufsteigender Reihenfolge aufgeführt.



Teilerliste:

weder Primzahl noch zusammengesetzte = 1
Primfaktor = 2
Primfaktor = 3
22 = 4
Primfaktor = 5
2 × 3 = 6
Primfaktor = 7
23 = 8
32 = 9
2 × 5 = 10
Primfaktor = 11
22 × 3 = 12
Primfaktor = 13
2 × 7 = 14
3 × 5 = 15
24 = 16
2 × 32 = 18
Primfaktor = 19
dies wird weiter unten fortgesetzt...
... das geht von oben weiter
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
2 × 13 = 26
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
25 = 32
3 × 11 = 33
5 × 7 = 35
22 × 32 = 36
2 × 19 = 38
3 × 13 = 39
23 × 5 = 40
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
24 × 3 = 48
22 × 13 = 52
2 × 33 = 54
5 × 11 = 55
23 × 7 = 56
3 × 19 = 57
22 × 3 × 5 = 60
32 × 7 = 63
5 × 13 = 65
2 × 3 × 11 = 66
2 × 5 × 7 = 70
23 × 32 = 72
22 × 19 = 76
7 × 11 = 77
2 × 3 × 13 = 78
24 × 5 = 80
22 × 3 × 7 = 84
23 × 11 = 88
2 × 32 × 5 = 90
7 × 13 = 91
5 × 19 = 95
25 × 3 = 96
32 × 11 = 99
23 × 13 = 104
3 × 5 × 7 = 105
22 × 33 = 108
2 × 5 × 11 = 110
24 × 7 = 112
2 × 3 × 19 = 114
32 × 13 = 117
23 × 3 × 5 = 120
2 × 32 × 7 = 126
2 × 5 × 13 = 130
22 × 3 × 11 = 132
7 × 19 = 133
33 × 5 = 135
22 × 5 × 7 = 140
11 × 13 = 143
24 × 32 = 144
23 × 19 = 152
2 × 7 × 11 = 154
22 × 3 × 13 = 156
25 × 5 = 160
3 × 5 × 11 = 165
23 × 3 × 7 = 168
32 × 19 = 171
24 × 11 = 176
22 × 32 × 5 = 180
2 × 7 × 13 = 182
33 × 7 = 189
2 × 5 × 19 = 190
3 × 5 × 13 = 195
2 × 32 × 11 = 198
24 × 13 = 208
11 × 19 = 209
2 × 3 × 5 × 7 = 210
23 × 33 = 216
22 × 5 × 11 = 220
25 × 7 = 224
22 × 3 × 19 = 228
3 × 7 × 11 = 231
2 × 32 × 13 = 234
24 × 3 × 5 = 240
13 × 19 = 247
22 × 32 × 7 = 252
22 × 5 × 13 = 260
23 × 3 × 11 = 264
2 × 7 × 19 = 266
2 × 33 × 5 = 270
3 × 7 × 13 = 273
23 × 5 × 7 = 280
3 × 5 × 19 = 285
2 × 11 × 13 = 286
25 × 32 = 288
33 × 11 = 297
24 × 19 = 304
22 × 7 × 11 = 308
23 × 3 × 13 = 312
32 × 5 × 7 = 315
2 × 3 × 5 × 11 = 330
24 × 3 × 7 = 336
2 × 32 × 19 = 342
33 × 13 = 351
25 × 11 = 352
23 × 32 × 5 = 360
22 × 7 × 13 = 364
2 × 33 × 7 = 378
22 × 5 × 19 = 380
5 × 7 × 11 = 385
2 × 3 × 5 × 13 = 390
22 × 32 × 11 = 396
3 × 7 × 19 = 399
25 × 13 = 416
2 × 11 × 19 = 418
22 × 3 × 5 × 7 = 420
3 × 11 × 13 = 429
24 × 33 = 432
23 × 5 × 11 = 440
5 × 7 × 13 = 455
23 × 3 × 19 = 456
2 × 3 × 7 × 11 = 462
22 × 32 × 13 = 468
25 × 3 × 5 = 480
2 × 13 × 19 = 494
32 × 5 × 11 = 495
23 × 32 × 7 = 504
33 × 19 = 513
23 × 5 × 13 = 520
24 × 3 × 11 = 528
22 × 7 × 19 = 532
22 × 33 × 5 = 540
2 × 3 × 7 × 13 = 546
24 × 5 × 7 = 560
2 × 3 × 5 × 19 = 570
22 × 11 × 13 = 572
32 × 5 × 13 = 585
2 × 33 × 11 = 594
25 × 19 = 608
23 × 7 × 11 = 616
24 × 3 × 13 = 624
3 × 11 × 19 = 627
2 × 32 × 5 × 7 = 630
22 × 3 × 5 × 11 = 660
5 × 7 × 19 = 665
25 × 3 × 7 = 672
22 × 32 × 19 = 684
32 × 7 × 11 = 693
2 × 33 × 13 = 702
5 × 11 × 13 = 715
24 × 32 × 5 = 720
23 × 7 × 13 = 728
3 × 13 × 19 = 741
22 × 33 × 7 = 756
23 × 5 × 19 = 760
2 × 5 × 7 × 11 = 770
22 × 3 × 5 × 13 = 780
23 × 32 × 11 = 792
2 × 3 × 7 × 19 = 798
32 × 7 × 13 = 819
22 × 11 × 19 = 836
23 × 3 × 5 × 7 = 840
32 × 5 × 19 = 855
2 × 3 × 11 × 13 = 858
25 × 33 = 864
24 × 5 × 11 = 880
2 × 5 × 7 × 13 = 910
24 × 3 × 19 = 912
22 × 3 × 7 × 11 = 924
23 × 32 × 13 = 936
33 × 5 × 7 = 945
22 × 13 × 19 = 988
2 × 32 × 5 × 11 = 990
7 × 11 × 13 = 1.001
24 × 32 × 7 = 1.008
2 × 33 × 19 = 1.026
24 × 5 × 13 = 1.040
5 × 11 × 19 = 1.045
25 × 3 × 11 = 1.056
23 × 7 × 19 = 1.064
23 × 33 × 5 = 1.080
22 × 3 × 7 × 13 = 1.092
25 × 5 × 7 = 1.120
22 × 3 × 5 × 19 = 1.140
23 × 11 × 13 = 1.144
3 × 5 × 7 × 11 = 1.155
2 × 32 × 5 × 13 = 1.170
22 × 33 × 11 = 1.188
32 × 7 × 19 = 1.197
24 × 7 × 11 = 1.232
5 × 13 × 19 = 1.235
25 × 3 × 13 = 1.248
2 × 3 × 11 × 19 = 1.254
22 × 32 × 5 × 7 = 1.260
32 × 11 × 13 = 1.287
23 × 3 × 5 × 11 = 1.320
2 × 5 × 7 × 19 = 1.330
3 × 5 × 7 × 13 = 1.365
23 × 32 × 19 = 1.368
2 × 32 × 7 × 11 = 1.386
22 × 33 × 13 = 1.404
2 × 5 × 11 × 13 = 1.430
25 × 32 × 5 = 1.440
24 × 7 × 13 = 1.456
7 × 11 × 19 = 1.463
2 × 3 × 13 × 19 = 1.482
33 × 5 × 11 = 1.485
23 × 33 × 7 = 1.512
24 × 5 × 19 = 1.520
22 × 5 × 7 × 11 = 1.540
23 × 3 × 5 × 13 = 1.560
24 × 32 × 11 = 1.584
22 × 3 × 7 × 19 = 1.596
2 × 32 × 7 × 13 = 1.638
23 × 11 × 19 = 1.672
24 × 3 × 5 × 7 = 1.680
2 × 32 × 5 × 19 = 1.710
22 × 3 × 11 × 13 = 1.716
7 × 13 × 19 = 1.729
33 × 5 × 13 = 1.755
25 × 5 × 11 = 1.760
22 × 5 × 7 × 13 = 1.820
25 × 3 × 19 = 1.824
23 × 3 × 7 × 11 = 1.848
24 × 32 × 13 = 1.872
32 × 11 × 19 = 1.881
2 × 33 × 5 × 7 = 1.890
23 × 13 × 19 = 1.976
22 × 32 × 5 × 11 = 1.980
3 × 5 × 7 × 19 = 1.995
2 × 7 × 11 × 13 = 2.002
25 × 32 × 7 = 2.016
22 × 33 × 19 = 2.052
33 × 7 × 11 = 2.079
25 × 5 × 13 = 2.080
2 × 5 × 11 × 19 = 2.090
24 × 7 × 19 = 2.128
3 × 5 × 11 × 13 = 2.145
24 × 33 × 5 = 2.160
23 × 3 × 7 × 13 = 2.184
32 × 13 × 19 = 2.223
23 × 3 × 5 × 19 = 2.280
24 × 11 × 13 = 2.288
2 × 3 × 5 × 7 × 11 = 2.310
22 × 32 × 5 × 13 = 2.340
23 × 33 × 11 = 2.376
2 × 32 × 7 × 19 = 2.394
33 × 7 × 13 = 2.457
25 × 7 × 11 = 2.464
2 × 5 × 13 × 19 = 2.470
22 × 3 × 11 × 19 = 2.508
23 × 32 × 5 × 7 = 2.520
33 × 5 × 19 = 2.565
2 × 32 × 11 × 13 = 2.574
24 × 3 × 5 × 11 = 2.640
22 × 5 × 7 × 19 = 2.660
11 × 13 × 19 = 2.717
2 × 3 × 5 × 7 × 13 = 2.730
24 × 32 × 19 = 2.736
22 × 32 × 7 × 11 = 2.772
23 × 33 × 13 = 2.808
22 × 5 × 11 × 13 = 2.860
25 × 7 × 13 = 2.912
2 × 7 × 11 × 19 = 2.926
22 × 3 × 13 × 19 = 2.964
2 × 33 × 5 × 11 = 2.970
3 × 7 × 11 × 13 = 3.003
24 × 33 × 7 = 3.024
25 × 5 × 19 = 3.040
23 × 5 × 7 × 11 = 3.080
24 × 3 × 5 × 13 = 3.120
3 × 5 × 11 × 19 = 3.135
25 × 32 × 11 = 3.168
23 × 3 × 7 × 19 = 3.192
22 × 32 × 7 × 13 = 3.276
24 × 11 × 19 = 3.344
25 × 3 × 5 × 7 = 3.360
22 × 32 × 5 × 19 = 3.420
23 × 3 × 11 × 13 = 3.432
2 × 7 × 13 × 19 = 3.458
32 × 5 × 7 × 11 = 3.465
2 × 33 × 5 × 13 = 3.510
33 × 7 × 19 = 3.591
23 × 5 × 7 × 13 = 3.640
24 × 3 × 7 × 11 = 3.696
3 × 5 × 13 × 19 = 3.705
25 × 32 × 13 = 3.744
2 × 32 × 11 × 19 = 3.762
22 × 33 × 5 × 7 = 3.780
33 × 11 × 13 = 3.861
24 × 13 × 19 = 3.952
23 × 32 × 5 × 11 = 3.960
2 × 3 × 5 × 7 × 19 = 3.990
22 × 7 × 11 × 13 = 4.004
32 × 5 × 7 × 13 = 4.095
23 × 33 × 19 = 4.104
2 × 33 × 7 × 11 = 4.158
22 × 5 × 11 × 19 = 4.180
25 × 7 × 19 = 4.256
2 × 3 × 5 × 11 × 13 = 4.290
25 × 33 × 5 = 4.320
24 × 3 × 7 × 13 = 4.368
3 × 7 × 11 × 19 = 4.389
2 × 32 × 13 × 19 = 4.446
24 × 3 × 5 × 19 = 4.560
25 × 11 × 13 = 4.576
22 × 3 × 5 × 7 × 11 = 4.620
23 × 32 × 5 × 13 = 4.680
24 × 33 × 11 = 4.752
22 × 32 × 7 × 19 = 4.788
2 × 33 × 7 × 13 = 4.914
22 × 5 × 13 × 19 = 4.940
5 × 7 × 11 × 13 = 5.005
23 × 3 × 11 × 19 = 5.016
24 × 32 × 5 × 7 = 5.040
2 × 33 × 5 × 19 = 5.130
22 × 32 × 11 × 13 = 5.148
3 × 7 × 13 × 19 = 5.187
25 × 3 × 5 × 11 = 5.280
23 × 5 × 7 × 19 = 5.320
2 × 11 × 13 × 19 = 5.434
22 × 3 × 5 × 7 × 13 = 5.460
25 × 32 × 19 = 5.472
23 × 32 × 7 × 11 = 5.544
24 × 33 × 13 = 5.616
33 × 11 × 19 = 5.643
23 × 5 × 11 × 13 = 5.720
22 × 7 × 11 × 19 = 5.852
23 × 3 × 13 × 19 = 5.928
22 × 33 × 5 × 11 = 5.940
32 × 5 × 7 × 19 = 5.985
2 × 3 × 7 × 11 × 13 = 6.006
25 × 33 × 7 = 6.048
24 × 5 × 7 × 11 = 6.160
25 × 3 × 5 × 13 = 6.240
2 × 3 × 5 × 11 × 19 = 6.270
24 × 3 × 7 × 19 = 6.384
32 × 5 × 11 × 13 = 6.435
23 × 32 × 7 × 13 = 6.552
33 × 13 × 19 = 6.669
25 × 11 × 19 = 6.688
23 × 32 × 5 × 19 = 6.840
24 × 3 × 11 × 13 = 6.864
22 × 7 × 13 × 19 = 6.916
2 × 32 × 5 × 7 × 11 = 6.930
22 × 33 × 5 × 13 = 7.020
2 × 33 × 7 × 19 = 7.182
24 × 5 × 7 × 13 = 7.280
5 × 7 × 11 × 19 = 7.315
25 × 3 × 7 × 11 = 7.392
2 × 3 × 5 × 13 × 19 = 7.410
22 × 32 × 11 × 19 = 7.524
23 × 33 × 5 × 7 = 7.560
2 × 33 × 11 × 13 = 7.722
25 × 13 × 19 = 7.904
24 × 32 × 5 × 11 = 7.920
22 × 3 × 5 × 7 × 19 = 7.980
23 × 7 × 11 × 13 = 8.008
3 × 11 × 13 × 19 = 8.151
2 × 32 × 5 × 7 × 13 = 8.190
24 × 33 × 19 = 8.208
22 × 33 × 7 × 11 = 8.316
23 × 5 × 11 × 19 = 8.360
22 × 3 × 5 × 11 × 13 = 8.580
5 × 7 × 13 × 19 = 8.645
25 × 3 × 7 × 13 = 8.736
2 × 3 × 7 × 11 × 19 = 8.778
22 × 32 × 13 × 19 = 8.892
32 × 7 × 11 × 13 = 9.009
25 × 3 × 5 × 19 = 9.120
23 × 3 × 5 × 7 × 11 = 9.240
24 × 32 × 5 × 13 = 9.360
32 × 5 × 11 × 19 = 9.405
25 × 33 × 11 = 9.504
23 × 32 × 7 × 19 = 9.576
22 × 33 × 7 × 13 = 9.828
23 × 5 × 13 × 19 = 9.880
2 × 5 × 7 × 11 × 13 = 10.010
24 × 3 × 11 × 19 = 10.032
25 × 32 × 5 × 7 = 10.080
22 × 33 × 5 × 19 = 10.260
23 × 32 × 11 × 13 = 10.296
2 × 3 × 7 × 13 × 19 = 10.374
33 × 5 × 7 × 11 = 10.395
24 × 5 × 7 × 19 = 10.640
22 × 11 × 13 × 19 = 10.868
23 × 3 × 5 × 7 × 13 = 10.920
24 × 32 × 7 × 11 = 11.088
32 × 5 × 13 × 19 = 11.115
25 × 33 × 13 = 11.232
2 × 33 × 11 × 19 = 11.286
24 × 5 × 11 × 13 = 11.440
23 × 7 × 11 × 19 = 11.704
24 × 3 × 13 × 19 = 11.856
23 × 33 × 5 × 11 = 11.880
2 × 32 × 5 × 7 × 19 = 11.970
22 × 3 × 7 × 11 × 13 = 12.012
33 × 5 × 7 × 13 = 12.285
25 × 5 × 7 × 11 = 12.320
22 × 3 × 5 × 11 × 19 = 12.540
25 × 3 × 7 × 19 = 12.768
2 × 32 × 5 × 11 × 13 = 12.870
24 × 32 × 7 × 13 = 13.104
32 × 7 × 11 × 19 = 13.167
2 × 33 × 13 × 19 = 13.338
5 × 11 × 13 × 19 = 13.585
24 × 32 × 5 × 19 = 13.680
25 × 3 × 11 × 13 = 13.728
23 × 7 × 13 × 19 = 13.832
22 × 32 × 5 × 7 × 11 = 13.860
23 × 33 × 5 × 13 = 14.040
22 × 33 × 7 × 19 = 14.364
25 × 5 × 7 × 13 = 14.560
2 × 5 × 7 × 11 × 19 = 14.630
22 × 3 × 5 × 13 × 19 = 14.820
3 × 5 × 7 × 11 × 13 = 15.015
23 × 32 × 11 × 19 = 15.048
24 × 33 × 5 × 7 = 15.120
22 × 33 × 11 × 13 = 15.444
32 × 7 × 13 × 19 = 15.561
25 × 32 × 5 × 11 = 15.840
23 × 3 × 5 × 7 × 19 = 15.960
24 × 7 × 11 × 13 = 16.016
2 × 3 × 11 × 13 × 19 = 16.302
22 × 32 × 5 × 7 × 13 = 16.380
25 × 33 × 19 = 16.416
23 × 33 × 7 × 11 = 16.632
24 × 5 × 11 × 19 = 16.720
23 × 3 × 5 × 11 × 13 = 17.160
2 × 5 × 7 × 13 × 19 = 17.290
22 × 3 × 7 × 11 × 19 = 17.556
23 × 32 × 13 × 19 = 17.784
33 × 5 × 7 × 19 = 17.955
2 × 32 × 7 × 11 × 13 = 18.018
24 × 3 × 5 × 7 × 11 = 18.480
25 × 32 × 5 × 13 = 18.720
2 × 32 × 5 × 11 × 19 = 18.810
7 × 11 × 13 × 19 = 19.019
24 × 32 × 7 × 19 = 19.152
33 × 5 × 11 × 13 = 19.305
23 × 33 × 7 × 13 = 19.656
24 × 5 × 13 × 19 = 19.760
22 × 5 × 7 × 11 × 13 = 20.020
25 × 3 × 11 × 19 = 20.064
23 × 33 × 5 × 19 = 20.520
24 × 32 × 11 × 13 = 20.592
22 × 3 × 7 × 13 × 19 = 20.748
2 × 33 × 5 × 7 × 11 = 20.790
25 × 5 × 7 × 19 = 21.280
23 × 11 × 13 × 19 = 21.736
24 × 3 × 5 × 7 × 13 = 21.840
3 × 5 × 7 × 11 × 19 = 21.945
25 × 32 × 7 × 11 = 22.176
2 × 32 × 5 × 13 × 19 = 22.230
22 × 33 × 11 × 19 = 22.572
25 × 5 × 11 × 13 = 22.880
24 × 7 × 11 × 19 = 23.408
25 × 3 × 13 × 19 = 23.712
24 × 33 × 5 × 11 = 23.760
22 × 32 × 5 × 7 × 19 = 23.940
23 × 3 × 7 × 11 × 13 = 24.024
32 × 11 × 13 × 19 = 24.453
2 × 33 × 5 × 7 × 13 = 24.570
23 × 3 × 5 × 11 × 19 = 25.080
22 × 32 × 5 × 11 × 13 = 25.740
3 × 5 × 7 × 13 × 19 = 25.935
25 × 32 × 7 × 13 = 26.208
2 × 32 × 7 × 11 × 19 = 26.334
22 × 33 × 13 × 19 = 26.676
33 × 7 × 11 × 13 = 27.027
2 × 5 × 11 × 13 × 19 = 27.170
25 × 32 × 5 × 19 = 27.360
24 × 7 × 13 × 19 = 27.664
23 × 32 × 5 × 7 × 11 = 27.720
24 × 33 × 5 × 13 = 28.080
33 × 5 × 11 × 19 = 28.215
23 × 33 × 7 × 19 = 28.728
22 × 5 × 7 × 11 × 19 = 29.260
23 × 3 × 5 × 13 × 19 = 29.640
2 × 3 × 5 × 7 × 11 × 13 = 30.030
24 × 32 × 11 × 19 = 30.096
25 × 33 × 5 × 7 = 30.240
23 × 33 × 11 × 13 = 30.888
2 × 32 × 7 × 13 × 19 = 31.122
24 × 3 × 5 × 7 × 19 = 31.920
25 × 7 × 11 × 13 = 32.032
22 × 3 × 11 × 13 × 19 = 32.604
23 × 32 × 5 × 7 × 13 = 32.760
24 × 33 × 7 × 11 = 33.264
33 × 5 × 13 × 19 = 33.345
25 × 5 × 11 × 19 = 33.440
24 × 3 × 5 × 11 × 13 = 34.320
22 × 5 × 7 × 13 × 19 = 34.580
23 × 3 × 7 × 11 × 19 = 35.112
24 × 32 × 13 × 19 = 35.568
2 × 33 × 5 × 7 × 19 = 35.910
22 × 32 × 7 × 11 × 13 = 36.036
25 × 3 × 5 × 7 × 11 = 36.960
22 × 32 × 5 × 11 × 19 = 37.620
2 × 7 × 11 × 13 × 19 = 38.038
25 × 32 × 7 × 19 = 38.304
2 × 33 × 5 × 11 × 13 = 38.610
24 × 33 × 7 × 13 = 39.312
33 × 7 × 11 × 19 = 39.501
25 × 5 × 13 × 19 = 39.520
23 × 5 × 7 × 11 × 13 = 40.040
3 × 5 × 11 × 13 × 19 = 40.755
24 × 33 × 5 × 19 = 41.040
25 × 32 × 11 × 13 = 41.184
23 × 3 × 7 × 13 × 19 = 41.496
22 × 33 × 5 × 7 × 11 = 41.580
24 × 11 × 13 × 19 = 43.472
25 × 3 × 5 × 7 × 13 = 43.680
2 × 3 × 5 × 7 × 11 × 19 = 43.890
22 × 32 × 5 × 13 × 19 = 44.460
32 × 5 × 7 × 11 × 13 = 45.045
23 × 33 × 11 × 19 = 45.144
33 × 7 × 13 × 19 = 46.683
25 × 7 × 11 × 19 = 46.816
25 × 33 × 5 × 11 = 47.520
23 × 32 × 5 × 7 × 19 = 47.880
24 × 3 × 7 × 11 × 13 = 48.048
2 × 32 × 11 × 13 × 19 = 48.906
22 × 33 × 5 × 7 × 13 = 49.140
24 × 3 × 5 × 11 × 19 = 50.160
23 × 32 × 5 × 11 × 13 = 51.480
2 × 3 × 5 × 7 × 13 × 19 = 51.870
22 × 32 × 7 × 11 × 19 = 52.668
23 × 33 × 13 × 19 = 53.352
2 × 33 × 7 × 11 × 13 = 54.054
22 × 5 × 11 × 13 × 19 = 54.340
25 × 7 × 13 × 19 = 55.328
24 × 32 × 5 × 7 × 11 = 55.440
25 × 33 × 5 × 13 = 56.160
2 × 33 × 5 × 11 × 19 = 56.430
3 × 7 × 11 × 13 × 19 = 57.057
24 × 33 × 7 × 19 = 57.456
23 × 5 × 7 × 11 × 19 = 58.520
24 × 3 × 5 × 13 × 19 = 59.280
22 × 3 × 5 × 7 × 11 × 13 = 60.060
25 × 32 × 11 × 19 = 60.192
24 × 33 × 11 × 13 = 61.776
22 × 32 × 7 × 13 × 19 = 62.244
25 × 3 × 5 × 7 × 19 = 63.840
23 × 3 × 11 × 13 × 19 = 65.208
24 × 32 × 5 × 7 × 13 = 65.520
32 × 5 × 7 × 11 × 19 = 65.835
25 × 33 × 7 × 11 = 66.528
2 × 33 × 5 × 13 × 19 = 66.690
25 × 3 × 5 × 11 × 13 = 68.640
23 × 5 × 7 × 13 × 19 = 69.160
24 × 3 × 7 × 11 × 19 = 70.224
25 × 32 × 13 × 19 = 71.136
22 × 33 × 5 × 7 × 19 = 71.820
23 × 32 × 7 × 11 × 13 = 72.072
33 × 11 × 13 × 19 = 73.359
23 × 32 × 5 × 11 × 19 = 75.240
22 × 7 × 11 × 13 × 19 = 76.076
22 × 33 × 5 × 11 × 13 = 77.220
32 × 5 × 7 × 13 × 19 = 77.805
25 × 33 × 7 × 13 = 78.624
2 × 33 × 7 × 11 × 19 = 79.002
24 × 5 × 7 × 11 × 13 = 80.080
2 × 3 × 5 × 11 × 13 × 19 = 81.510
25 × 33 × 5 × 19 = 82.080
24 × 3 × 7 × 13 × 19 = 82.992
23 × 33 × 5 × 7 × 11 = 83.160
25 × 11 × 13 × 19 = 86.944
22 × 3 × 5 × 7 × 11 × 19 = 87.780
23 × 32 × 5 × 13 × 19 = 88.920
2 × 32 × 5 × 7 × 11 × 13 = 90.090
24 × 33 × 11 × 19 = 90.288
2 × 33 × 7 × 13 × 19 = 93.366
5 × 7 × 11 × 13 × 19 = 95.095
24 × 32 × 5 × 7 × 19 = 95.760
25 × 3 × 7 × 11 × 13 = 96.096
22 × 32 × 11 × 13 × 19 = 97.812
23 × 33 × 5 × 7 × 13 = 98.280
25 × 3 × 5 × 11 × 19 = 100.320
24 × 32 × 5 × 11 × 13 = 102.960
22 × 3 × 5 × 7 × 13 × 19 = 103.740
23 × 32 × 7 × 11 × 19 = 105.336
24 × 33 × 13 × 19 = 106.704
22 × 33 × 7 × 11 × 13 = 108.108
23 × 5 × 11 × 13 × 19 = 108.680
25 × 32 × 5 × 7 × 11 = 110.880
22 × 33 × 5 × 11 × 19 = 112.860
2 × 3 × 7 × 11 × 13 × 19 = 114.114
25 × 33 × 7 × 19 = 114.912
24 × 5 × 7 × 11 × 19 = 117.040
25 × 3 × 5 × 13 × 19 = 118.560
23 × 3 × 5 × 7 × 11 × 13 = 120.120
32 × 5 × 11 × 13 × 19 = 122.265
25 × 33 × 11 × 13 = 123.552
23 × 32 × 7 × 13 × 19 = 124.488
24 × 3 × 11 × 13 × 19 = 130.416
25 × 32 × 5 × 7 × 13 = 131.040
2 × 32 × 5 × 7 × 11 × 19 = 131.670
22 × 33 × 5 × 13 × 19 = 133.380
33 × 5 × 7 × 11 × 13 = 135.135
24 × 5 × 7 × 13 × 19 = 138.320
25 × 3 × 7 × 11 × 19 = 140.448
23 × 33 × 5 × 7 × 19 = 143.640
24 × 32 × 7 × 11 × 13 = 144.144
2 × 33 × 11 × 13 × 19 = 146.718
24 × 32 × 5 × 11 × 19 = 150.480
23 × 7 × 11 × 13 × 19 = 152.152
23 × 33 × 5 × 11 × 13 = 154.440
2 × 32 × 5 × 7 × 13 × 19 = 155.610
22 × 33 × 7 × 11 × 19 = 158.004
25 × 5 × 7 × 11 × 13 = 160.160
22 × 3 × 5 × 11 × 13 × 19 = 163.020
25 × 3 × 7 × 13 × 19 = 165.984
24 × 33 × 5 × 7 × 11 = 166.320
32 × 7 × 11 × 13 × 19 = 171.171
23 × 3 × 5 × 7 × 11 × 19 = 175.560
24 × 32 × 5 × 13 × 19 = 177.840
22 × 32 × 5 × 7 × 11 × 13 = 180.180
25 × 33 × 11 × 19 = 180.576
22 × 33 × 7 × 13 × 19 = 186.732
2 × 5 × 7 × 11 × 13 × 19 = 190.190
25 × 32 × 5 × 7 × 19 = 191.520
23 × 32 × 11 × 13 × 19 = 195.624
24 × 33 × 5 × 7 × 13 = 196.560
33 × 5 × 7 × 11 × 19 = 197.505
25 × 32 × 5 × 11 × 13 = 205.920
23 × 3 × 5 × 7 × 13 × 19 = 207.480
24 × 32 × 7 × 11 × 19 = 210.672
25 × 33 × 13 × 19 = 213.408
23 × 33 × 7 × 11 × 13 = 216.216
24 × 5 × 11 × 13 × 19 = 217.360
23 × 33 × 5 × 11 × 19 = 225.720
22 × 3 × 7 × 11 × 13 × 19 = 228.228
33 × 5 × 7 × 13 × 19 = 233.415
25 × 5 × 7 × 11 × 19 = 234.080
24 × 3 × 5 × 7 × 11 × 13 = 240.240
2 × 32 × 5 × 11 × 13 × 19 = 244.530
24 × 32 × 7 × 13 × 19 = 248.976
25 × 3 × 11 × 13 × 19 = 260.832
22 × 32 × 5 × 7 × 11 × 19 = 263.340
23 × 33 × 5 × 13 × 19 = 266.760
2 × 33 × 5 × 7 × 11 × 13 = 270.270
25 × 5 × 7 × 13 × 19 = 276.640
3 × 5 × 7 × 11 × 13 × 19 = 285.285
24 × 33 × 5 × 7 × 19 = 287.280
25 × 32 × 7 × 11 × 13 = 288.288
22 × 33 × 11 × 13 × 19 = 293.436
25 × 32 × 5 × 11 × 19 = 300.960
24 × 7 × 11 × 13 × 19 = 304.304
24 × 33 × 5 × 11 × 13 = 308.880
22 × 32 × 5 × 7 × 13 × 19 = 311.220
23 × 33 × 7 × 11 × 19 = 316.008
23 × 3 × 5 × 11 × 13 × 19 = 326.040
25 × 33 × 5 × 7 × 11 = 332.640
2 × 32 × 7 × 11 × 13 × 19 = 342.342
24 × 3 × 5 × 7 × 11 × 19 = 351.120
25 × 32 × 5 × 13 × 19 = 355.680
23 × 32 × 5 × 7 × 11 × 13 = 360.360
33 × 5 × 11 × 13 × 19 = 366.795
23 × 33 × 7 × 13 × 19 = 373.464
22 × 5 × 7 × 11 × 13 × 19 = 380.380
24 × 32 × 11 × 13 × 19 = 391.248
25 × 33 × 5 × 7 × 13 = 393.120
2 × 33 × 5 × 7 × 11 × 19 = 395.010
24 × 3 × 5 × 7 × 13 × 19 = 414.960
25 × 32 × 7 × 11 × 19 = 421.344
24 × 33 × 7 × 11 × 13 = 432.432
25 × 5 × 11 × 13 × 19 = 434.720
24 × 33 × 5 × 11 × 19 = 451.440
23 × 3 × 7 × 11 × 13 × 19 = 456.456
2 × 33 × 5 × 7 × 13 × 19 = 466.830
25 × 3 × 5 × 7 × 11 × 13 = 480.480
22 × 32 × 5 × 11 × 13 × 19 = 489.060
25 × 32 × 7 × 13 × 19 = 497.952
33 × 7 × 11 × 13 × 19 = 513.513
23 × 32 × 5 × 7 × 11 × 19 = 526.680
24 × 33 × 5 × 13 × 19 = 533.520
22 × 33 × 5 × 7 × 11 × 13 = 540.540
2 × 3 × 5 × 7 × 11 × 13 × 19 = 570.570
25 × 33 × 5 × 7 × 19 = 574.560
23 × 33 × 11 × 13 × 19 = 586.872
25 × 7 × 11 × 13 × 19 = 608.608
25 × 33 × 5 × 11 × 13 = 617.760
23 × 32 × 5 × 7 × 13 × 19 = 622.440
24 × 33 × 7 × 11 × 19 = 632.016
24 × 3 × 5 × 11 × 13 × 19 = 652.080
22 × 32 × 7 × 11 × 13 × 19 = 684.684
25 × 3 × 5 × 7 × 11 × 19 = 702.240
24 × 32 × 5 × 7 × 11 × 13 = 720.720
2 × 33 × 5 × 11 × 13 × 19 = 733.590
24 × 33 × 7 × 13 × 19 = 746.928
23 × 5 × 7 × 11 × 13 × 19 = 760.760
25 × 32 × 11 × 13 × 19 = 782.496
22 × 33 × 5 × 7 × 11 × 19 = 790.020
25 × 3 × 5 × 7 × 13 × 19 = 829.920
32 × 5 × 7 × 11 × 13 × 19 = 855.855
25 × 33 × 7 × 11 × 13 = 864.864
25 × 33 × 5 × 11 × 19 = 902.880
24 × 3 × 7 × 11 × 13 × 19 = 912.912
22 × 33 × 5 × 7 × 13 × 19 = 933.660
23 × 32 × 5 × 11 × 13 × 19 = 978.120
2 × 33 × 7 × 11 × 13 × 19 = 1.027.026
24 × 32 × 5 × 7 × 11 × 19 = 1.053.360
25 × 33 × 5 × 13 × 19 = 1.067.040
23 × 33 × 5 × 7 × 11 × 13 = 1.081.080
22 × 3 × 5 × 7 × 11 × 13 × 19 = 1.141.140
24 × 33 × 11 × 13 × 19 = 1.173.744
24 × 32 × 5 × 7 × 13 × 19 = 1.244.880
25 × 33 × 7 × 11 × 19 = 1.264.032
25 × 3 × 5 × 11 × 13 × 19 = 1.304.160
23 × 32 × 7 × 11 × 13 × 19 = 1.369.368
25 × 32 × 5 × 7 × 11 × 13 = 1.441.440
22 × 33 × 5 × 11 × 13 × 19 = 1.467.180
25 × 33 × 7 × 13 × 19 = 1.493.856
24 × 5 × 7 × 11 × 13 × 19 = 1.521.520
23 × 33 × 5 × 7 × 11 × 19 = 1.580.040
2 × 32 × 5 × 7 × 11 × 13 × 19 = 1.711.710
25 × 3 × 7 × 11 × 13 × 19 = 1.825.824
23 × 33 × 5 × 7 × 13 × 19 = 1.867.320
24 × 32 × 5 × 11 × 13 × 19 = 1.956.240
22 × 33 × 7 × 11 × 13 × 19 = 2.054.052
25 × 32 × 5 × 7 × 11 × 19 = 2.106.720
24 × 33 × 5 × 7 × 11 × 13 = 2.162.160
23 × 3 × 5 × 7 × 11 × 13 × 19 = 2.282.280
25 × 33 × 11 × 13 × 19 = 2.347.488
25 × 32 × 5 × 7 × 13 × 19 = 2.489.760
33 × 5 × 7 × 11 × 13 × 19 = 2.567.565
24 × 32 × 7 × 11 × 13 × 19 = 2.738.736
23 × 33 × 5 × 11 × 13 × 19 = 2.934.360
25 × 5 × 7 × 11 × 13 × 19 = 3.043.040
24 × 33 × 5 × 7 × 11 × 19 = 3.160.080
22 × 32 × 5 × 7 × 11 × 13 × 19 = 3.423.420
24 × 33 × 5 × 7 × 13 × 19 = 3.734.640
25 × 32 × 5 × 11 × 13 × 19 = 3.912.480
23 × 33 × 7 × 11 × 13 × 19 = 4.108.104
25 × 33 × 5 × 7 × 11 × 13 = 4.324.320
24 × 3 × 5 × 7 × 11 × 13 × 19 = 4.564.560
2 × 33 × 5 × 7 × 11 × 13 × 19 = 5.135.130
25 × 32 × 7 × 11 × 13 × 19 = 5.477.472
24 × 33 × 5 × 11 × 13 × 19 = 5.868.720
25 × 33 × 5 × 7 × 11 × 19 = 6.320.160
23 × 32 × 5 × 7 × 11 × 13 × 19 = 6.846.840
25 × 33 × 5 × 7 × 13 × 19 = 7.469.280
24 × 33 × 7 × 11 × 13 × 19 = 8.216.208
25 × 3 × 5 × 7 × 11 × 13 × 19 = 9.129.120
22 × 33 × 5 × 7 × 11 × 13 × 19 = 10.270.260
25 × 33 × 5 × 11 × 13 × 19 = 11.737.440
24 × 32 × 5 × 7 × 11 × 13 × 19 = 13.693.680
25 × 33 × 7 × 11 × 13 × 19 = 16.432.416
23 × 33 × 5 × 7 × 11 × 13 × 19 = 20.540.520
25 × 32 × 5 × 7 × 11 × 13 × 19 = 27.387.360
24 × 33 × 5 × 7 × 11 × 13 × 19 = 41.081.040
25 × 33 × 5 × 7 × 11 × 13 × 19 = 82.162.080

Endgültige Antwort:

82.162.080 hat 768 Teiler:
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 13; 14; 15; 16; 18; 19; 20; 21; 22; 24; 26; 27; 28; 30; 32; 33; 35; 36; 38; 39; 40; 42; 44; 45; 48; 52; 54; 55; 56; 57; 60; 63; 65; 66; 70; 72; 76; 77; 78; 80; 84; 88; 90; 91; 95; 96; 99; 104; 105; 108; 110; 112; 114; 117; 120; 126; 130; 132; 133; 135; 140; 143; 144; 152; 154; 156; 160; 165; 168; 171; 176; 180; 182; 189; 190; 195; 198; 208; 209; 210; 216; 220; 224; 228; 231; 234; 240; 247; 252; 260; 264; 266; 270; 273; 280; 285; 286; 288; 297; 304; 308; 312; 315; 330; 336; 342; 351; 352; 360; 364; 378; 380; 385; 390; 396; 399; 416; 418; 420; 429; 432; 440; 455; 456; 462; 468; 480; 494; 495; 504; 513; 520; 528; 532; 540; 546; 560; 570; 572; 585; 594; 608; 616; 624; 627; 630; 660; 665; 672; 684; 693; 702; 715; 720; 728; 741; 756; 760; 770; 780; 792; 798; 819; 836; 840; 855; 858; 864; 880; 910; 912; 924; 936; 945; 988; 990; 1.001; 1.008; 1.026; 1.040; 1.045; 1.056; 1.064; 1.080; 1.092; 1.120; 1.140; 1.144; 1.155; 1.170; 1.188; 1.197; 1.232; 1.235; 1.248; 1.254; 1.260; 1.287; 1.320; 1.330; 1.365; 1.368; 1.386; 1.404; 1.430; 1.440; 1.456; 1.463; 1.482; 1.485; 1.512; 1.520; 1.540; 1.560; 1.584; 1.596; 1.638; 1.672; 1.680; 1.710; 1.716; 1.729; 1.755; 1.760; 1.820; 1.824; 1.848; 1.872; 1.881; 1.890; 1.976; 1.980; 1.995; 2.002; 2.016; 2.052; 2.079; 2.080; 2.090; 2.128; 2.145; 2.160; 2.184; 2.223; 2.280; 2.288; 2.310; 2.340; 2.376; 2.394; 2.457; 2.464; 2.470; 2.508; 2.520; 2.565; 2.574; 2.640; 2.660; 2.717; 2.730; 2.736; 2.772; 2.808; 2.860; 2.912; 2.926; 2.964; 2.970; 3.003; 3.024; 3.040; 3.080; 3.120; 3.135; 3.168; 3.192; 3.276; 3.344; 3.360; 3.420; 3.432; 3.458; 3.465; 3.510; 3.591; 3.640; 3.696; 3.705; 3.744; 3.762; 3.780; 3.861; 3.952; 3.960; 3.990; 4.004; 4.095; 4.104; 4.158; 4.180; 4.256; 4.290; 4.320; 4.368; 4.389; 4.446; 4.560; 4.576; 4.620; 4.680; 4.752; 4.788; 4.914; 4.940; 5.005; 5.016; 5.040; 5.130; 5.148; 5.187; 5.280; 5.320; 5.434; 5.460; 5.472; 5.544; 5.616; 5.643; 5.720; 5.852; 5.928; 5.940; 5.985; 6.006; 6.048; 6.160; 6.240; 6.270; 6.384; 6.435; 6.552; 6.669; 6.688; 6.840; 6.864; 6.916; 6.930; 7.020; 7.182; 7.280; 7.315; 7.392; 7.410; 7.524; 7.560; 7.722; 7.904; 7.920; 7.980; 8.008; 8.151; 8.190; 8.208; 8.316; 8.360; 8.580; 8.645; 8.736; 8.778; 8.892; 9.009; 9.120; 9.240; 9.360; 9.405; 9.504; 9.576; 9.828; 9.880; 10.010; 10.032; 10.080; 10.260; 10.296; 10.374; 10.395; 10.640; 10.868; 10.920; 11.088; 11.115; 11.232; 11.286; 11.440; 11.704; 11.856; 11.880; 11.970; 12.012; 12.285; 12.320; 12.540; 12.768; 12.870; 13.104; 13.167; 13.338; 13.585; 13.680; 13.728; 13.832; 13.860; 14.040; 14.364; 14.560; 14.630; 14.820; 15.015; 15.048; 15.120; 15.444; 15.561; 15.840; 15.960; 16.016; 16.302; 16.380; 16.416; 16.632; 16.720; 17.160; 17.290; 17.556; 17.784; 17.955; 18.018; 18.480; 18.720; 18.810; 19.019; 19.152; 19.305; 19.656; 19.760; 20.020; 20.064; 20.520; 20.592; 20.748; 20.790; 21.280; 21.736; 21.840; 21.945; 22.176; 22.230; 22.572; 22.880; 23.408; 23.712; 23.760; 23.940; 24.024; 24.453; 24.570; 25.080; 25.740; 25.935; 26.208; 26.334; 26.676; 27.027; 27.170; 27.360; 27.664; 27.720; 28.080; 28.215; 28.728; 29.260; 29.640; 30.030; 30.096; 30.240; 30.888; 31.122; 31.920; 32.032; 32.604; 32.760; 33.264; 33.345; 33.440; 34.320; 34.580; 35.112; 35.568; 35.910; 36.036; 36.960; 37.620; 38.038; 38.304; 38.610; 39.312; 39.501; 39.520; 40.040; 40.755; 41.040; 41.184; 41.496; 41.580; 43.472; 43.680; 43.890; 44.460; 45.045; 45.144; 46.683; 46.816; 47.520; 47.880; 48.048; 48.906; 49.140; 50.160; 51.480; 51.870; 52.668; 53.352; 54.054; 54.340; 55.328; 55.440; 56.160; 56.430; 57.057; 57.456; 58.520; 59.280; 60.060; 60.192; 61.776; 62.244; 63.840; 65.208; 65.520; 65.835; 66.528; 66.690; 68.640; 69.160; 70.224; 71.136; 71.820; 72.072; 73.359; 75.240; 76.076; 77.220; 77.805; 78.624; 79.002; 80.080; 81.510; 82.080; 82.992; 83.160; 86.944; 87.780; 88.920; 90.090; 90.288; 93.366; 95.095; 95.760; 96.096; 97.812; 98.280; 100.320; 102.960; 103.740; 105.336; 106.704; 108.108; 108.680; 110.880; 112.860; 114.114; 114.912; 117.040; 118.560; 120.120; 122.265; 123.552; 124.488; 130.416; 131.040; 131.670; 133.380; 135.135; 138.320; 140.448; 143.640; 144.144; 146.718; 150.480; 152.152; 154.440; 155.610; 158.004; 160.160; 163.020; 165.984; 166.320; 171.171; 175.560; 177.840; 180.180; 180.576; 186.732; 190.190; 191.520; 195.624; 196.560; 197.505; 205.920; 207.480; 210.672; 213.408; 216.216; 217.360; 225.720; 228.228; 233.415; 234.080; 240.240; 244.530; 248.976; 260.832; 263.340; 266.760; 270.270; 276.640; 285.285; 287.280; 288.288; 293.436; 300.960; 304.304; 308.880; 311.220; 316.008; 326.040; 332.640; 342.342; 351.120; 355.680; 360.360; 366.795; 373.464; 380.380; 391.248; 393.120; 395.010; 414.960; 421.344; 432.432; 434.720; 451.440; 456.456; 466.830; 480.480; 489.060; 497.952; 513.513; 526.680; 533.520; 540.540; 570.570; 574.560; 586.872; 608.608; 617.760; 622.440; 632.016; 652.080; 684.684; 702.240; 720.720; 733.590; 746.928; 760.760; 782.496; 790.020; 829.920; 855.855; 864.864; 902.880; 912.912; 933.660; 978.120; 1.027.026; 1.053.360; 1.067.040; 1.081.080; 1.141.140; 1.173.744; 1.244.880; 1.264.032; 1.304.160; 1.369.368; 1.441.440; 1.467.180; 1.493.856; 1.521.520; 1.580.040; 1.711.710; 1.825.824; 1.867.320; 1.956.240; 2.054.052; 2.106.720; 2.162.160; 2.282.280; 2.347.488; 2.489.760; 2.567.565; 2.738.736; 2.934.360; 3.043.040; 3.160.080; 3.423.420; 3.734.640; 3.912.480; 4.108.104; 4.324.320; 4.564.560; 5.135.130; 5.477.472; 5.868.720; 6.320.160; 6.846.840; 7.469.280; 8.216.208; 9.129.120; 10.270.260; 11.737.440; 13.693.680; 16.432.416; 20.540.520; 27.387.360; 41.081.040 und 82.162.080
aus welchen 7 Primfaktoren: 2; 3; 5; 7; 11; 13 und 19
82.162.080 und 1 heißen die trivialen Teiler (unechte teiler), die anderen sind echten Teiler.

Der Schlüssel, um die Teiler einer Zahl zu finden, besteht darin, sie in Primzahlen zu zerlegen.


Erstellen Sie dann alle verschiedenen Kombinationen (Multiplikationen) der Primfaktoren und ihrer Exponenten, falls vorhanden.



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Teiler (82.162.080) = ? 18 oct, 00:34 UTC (GMT)
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Theorie: Teiler, gemeinsame Teiler, der größte gemeinsame Teiler (ggT)

Wenn "t" es ein Teiler von "a" ist, dann bei der Teilung in Faktoren von "t" werden nur Primzahlen erscheinen, die auch bei der Teilung von "a" erscheinen werden und die höchstens egal Exponenten auch die bei der Zerlegung von "a" eingreiffen.

Zum Beispiel, 12 ist teiler von 60:
12 = 2 × 2 × 3 = 22 × 3
60 = 2 × 2 × 3 × 5 = 22 × 3 × 5

Wenn "t" der gemeinsame Teiler von "a" und "b" ist, dann "t" hat nur Primfaktoren, die auch in "a" und "b" eingreifen, jeder Faktor bei der kleinsten Stärke.

Zum Beispiel, 12 ist der gemeinsame Teiler von 48 und 360. Aus der Teilung in Primfaktoren:
12 = 22 × 3
48 = 24 × 3
360 = 23 × 32 × 5
Es wird beobachtet, dass 48 und 360 mehrere gemeinsame Teiler enthalten: 2, 3, 4, 6, 8, 12, 24. Davon, 24 ist der größte gemeinsame Teiler (ggT) von 48 und 360.

Falls zwei Zahlen a und b haben keinen anderen gemeinsamen Teiler als 1 enthalten, ggT (a, b) = 1, die Zahlen a und b nenen sich Primzahlen zwischen sich einander.

Falls "a" und "b" sind nicht Primzahlen zwischen sich einander, dann jeder gemeinsame Teiler von "a" und "b" ist ein Teiler des größten gemeinsamen Teilers von "a" und "b", weil der größte gemeinsamer Teiler ist das Produkt der allen Primfaktoren, die zwischen "a" und "b" eingreifen, bei der kleinsten Potenz. Auf diesem Verfahren kann man den größten gemeinsamen Teiler von mehreren Zahlen herausfinden, sowie es auch das untere Beispiel zeigt.
Beispiel für die Festlegung des ggT:
1260 = 22 × 32
3024 = 24 × 32 × 7
5544 = 23 × 32 × 7 × 11
ggT (1260, 3024, 5544) = 22 × 32 = 252


Was ist eine Primzahl?

Was ist eine zusammengesetzte Zahl?

Primzahlen bis 1.000

Primzahlen bis 10.000

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Euklidischer Algorithmus

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