4.028.428.800: Calcula todos los divisores del número 4.028.428.800 (y los factores primos)

Los divisores del número 4.028.428.800

1. Realizar la descomposición del número 4.028.428.800 en factores primos:

La descomposición en factores primos de un número (descomposición factorial) = descomponer el número como un producto (multiplicación) de uno o varios números primos.

4.028.428.800 = 29 × 32 × 52 × 112 × 172
4.028.428.800 no es un numero primo sino un numero compuesto.

» Calculadora online. ¿El número es primo o compuesto? La descomposición en factores primos de números compuestos

* Los números naturales que son divisibles solo por 1 y por ellos mismos se llaman números primos. Un número primo tiene exactamente dos divisores: el 1 y él mismo.
* Un número compuesto es un número natural que tiene al menos un divisor diferente de 1 y él mismo.


2. Multiplica los factores primos del número 4.028.428.800

Multiplica los factores primos involucrados en la descomposición en factores primos del número en todas sus combinaciones únicas, que dan resultados diferentes.

Considere también los exponentes de estos factores primos.

También considere el número 1 cuando construya la lista de divisores. Todos los números son divisibles por 1.


Todos los divisores se enumeran a continuación, en orden ascendente

La lista de divisores:

Ni primo ni compuesto = 1
factor primo = 2
factor primo = 3
22 = 4
factor primo = 5
2 × 3 = 6
23 = 8
32 = 9
2 × 5 = 10
factor primo = 11
22 × 3 = 12
3 × 5 = 15
24 = 16
factor primo = 17
2 × 32 = 18
22 × 5 = 20
2 × 11 = 22
23 × 3 = 24
52 = 25
2 × 3 × 5 = 30
25 = 32
3 × 11 = 33
2 × 17 = 34
22 × 32 = 36
23 × 5 = 40
22 × 11 = 44
32 × 5 = 45
24 × 3 = 48
2 × 52 = 50
3 × 17 = 51
5 × 11 = 55
22 × 3 × 5 = 60
26 = 64
2 × 3 × 11 = 66
22 × 17 = 68
23 × 32 = 72
3 × 52 = 75
24 × 5 = 80
5 × 17 = 85
23 × 11 = 88
2 × 32 × 5 = 90
25 × 3 = 96
32 × 11 = 99
22 × 52 = 100
2 × 3 × 17 = 102
2 × 5 × 11 = 110
23 × 3 × 5 = 120
112 = 121
27 = 128
22 × 3 × 11 = 132
23 × 17 = 136
24 × 32 = 144
2 × 3 × 52 = 150
32 × 17 = 153
25 × 5 = 160
3 × 5 × 11 = 165
2 × 5 × 17 = 170
24 × 11 = 176
22 × 32 × 5 = 180
11 × 17 = 187
26 × 3 = 192
2 × 32 × 11 = 198
23 × 52 = 200
22 × 3 × 17 = 204
22 × 5 × 11 = 220
32 × 52 = 225
24 × 3 × 5 = 240
2 × 112 = 242
3 × 5 × 17 = 255
28 = 256
23 × 3 × 11 = 264
24 × 17 = 272
52 × 11 = 275
25 × 32 = 288
172 = 289
22 × 3 × 52 = 300
2 × 32 × 17 = 306
26 × 5 = 320
2 × 3 × 5 × 11 = 330
22 × 5 × 17 = 340
25 × 11 = 352
23 × 32 × 5 = 360
3 × 112 = 363
2 × 11 × 17 = 374
27 × 3 = 384
22 × 32 × 11 = 396
24 × 52 = 400
23 × 3 × 17 = 408
52 × 17 = 425
23 × 5 × 11 = 440
2 × 32 × 52 = 450
25 × 3 × 5 = 480
22 × 112 = 484
32 × 5 × 11 = 495
2 × 3 × 5 × 17 = 510
29 = 512
24 × 3 × 11 = 528
25 × 17 = 544
2 × 52 × 11 = 550
3 × 11 × 17 = 561
26 × 32 = 576
2 × 172 = 578
23 × 3 × 52 = 600
5 × 112 = 605
22 × 32 × 17 = 612
27 × 5 = 640
22 × 3 × 5 × 11 = 660
23 × 5 × 17 = 680
26 × 11 = 704
24 × 32 × 5 = 720
2 × 3 × 112 = 726
22 × 11 × 17 = 748
32 × 5 × 17 = 765
28 × 3 = 768
23 × 32 × 11 = 792
25 × 52 = 800
24 × 3 × 17 = 816
3 × 52 × 11 = 825
2 × 52 × 17 = 850
3 × 172 = 867
24 × 5 × 11 = 880
22 × 32 × 52 = 900
5 × 11 × 17 = 935
26 × 3 × 5 = 960
23 × 112 = 968
2 × 32 × 5 × 11 = 990
22 × 3 × 5 × 17 = 1.020
25 × 3 × 11 = 1.056
26 × 17 = 1.088
32 × 112 = 1.089
22 × 52 × 11 = 1.100
2 × 3 × 11 × 17 = 1.122
27 × 32 = 1.152
22 × 172 = 1.156
24 × 3 × 52 = 1.200
2 × 5 × 112 = 1.210
23 × 32 × 17 = 1.224
3 × 52 × 17 = 1.275
28 × 5 = 1.280
23 × 3 × 5 × 11 = 1.320
24 × 5 × 17 = 1.360
27 × 11 = 1.408
25 × 32 × 5 = 1.440
5 × 172 = 1.445
22 × 3 × 112 = 1.452
23 × 11 × 17 = 1.496
2 × 32 × 5 × 17 = 1.530
29 × 3 = 1.536
24 × 32 × 11 = 1.584
26 × 52 = 1.600
25 × 3 × 17 = 1.632
2 × 3 × 52 × 11 = 1.650
32 × 11 × 17 = 1.683
22 × 52 × 17 = 1.700
2 × 3 × 172 = 1.734
25 × 5 × 11 = 1.760
23 × 32 × 52 = 1.800
3 × 5 × 112 = 1.815
2 × 5 × 11 × 17 = 1.870
27 × 3 × 5 = 1.920
24 × 112 = 1.936
22 × 32 × 5 × 11 = 1.980
23 × 3 × 5 × 17 = 2.040
112 × 17 = 2.057
26 × 3 × 11 = 2.112
27 × 17 = 2.176
2 × 32 × 112 = 2.178
23 × 52 × 11 = 2.200
22 × 3 × 11 × 17 = 2.244
28 × 32 = 2.304
23 × 172 = 2.312
25 × 3 × 52 = 2.400
22 × 5 × 112 = 2.420
24 × 32 × 17 = 2.448
32 × 52 × 11 = 2.475
2 × 3 × 52 × 17 = 2.550
29 × 5 = 2.560
32 × 172 = 2.601
24 × 3 × 5 × 11 = 2.640
25 × 5 × 17 = 2.720
3 × 5 × 11 × 17 = 2.805
28 × 11 = 2.816
26 × 32 × 5 = 2.880
2 × 5 × 172 = 2.890
23 × 3 × 112 = 2.904
24 × 11 × 17 = 2.992
52 × 112 = 3.025
22 × 32 × 5 × 17 = 3.060
25 × 32 × 11 = 3.168
11 × 172 = 3.179
27 × 52 = 3.200
26 × 3 × 17 = 3.264
22 × 3 × 52 × 11 = 3.300
2 × 32 × 11 × 17 = 3.366
23 × 52 × 17 = 3.400
22 × 3 × 172 = 3.468
26 × 5 × 11 = 3.520
24 × 32 × 52 = 3.600
2 × 3 × 5 × 112 = 3.630
22 × 5 × 11 × 17 = 3.740
32 × 52 × 17 = 3.825
28 × 3 × 5 = 3.840
25 × 112 = 3.872
23 × 32 × 5 × 11 = 3.960
24 × 3 × 5 × 17 = 4.080
2 × 112 × 17 = 4.114
27 × 3 × 11 = 4.224
3 × 5 × 172 = 4.335
28 × 17 = 4.352
22 × 32 × 112 = 4.356
24 × 52 × 11 = 4.400
23 × 3 × 11 × 17 = 4.488
29 × 32 = 4.608
24 × 172 = 4.624
52 × 11 × 17 = 4.675
26 × 3 × 52 = 4.800
23 × 5 × 112 = 4.840
25 × 32 × 17 = 4.896
2 × 32 × 52 × 11 = 4.950
22 × 3 × 52 × 17 = 5.100
2 × 32 × 172 = 5.202
25 × 3 × 5 × 11 = 5.280
26 × 5 × 17 = 5.440
32 × 5 × 112 = 5.445
2 × 3 × 5 × 11 × 17 = 5.610
29 × 11 = 5.632
27 × 32 × 5 = 5.760
22 × 5 × 172 = 5.780
24 × 3 × 112 = 5.808
25 × 11 × 17 = 5.984
2 × 52 × 112 = 6.050
23 × 32 × 5 × 17 = 6.120
3 × 112 × 17 = 6.171
26 × 32 × 11 = 6.336
2 × 11 × 172 = 6.358
28 × 52 = 6.400
27 × 3 × 17 = 6.528
23 × 3 × 52 × 11 = 6.600
22 × 32 × 11 × 17 = 6.732
24 × 52 × 17 = 6.800
23 × 3 × 172 = 6.936
27 × 5 × 11 = 7.040
25 × 32 × 52 = 7.200
52 × 172 = 7.225
22 × 3 × 5 × 112 = 7.260
23 × 5 × 11 × 17 = 7.480
2 × 32 × 52 × 17 = 7.650
29 × 3 × 5 = 7.680
26 × 112 = 7.744
24 × 32 × 5 × 11 = 7.920
25 × 3 × 5 × 17 = 8.160
22 × 112 × 17 = 8.228
32 × 5 × 11 × 17 = 8.415
28 × 3 × 11 = 8.448
2 × 3 × 5 × 172 = 8.670
29 × 17 = 8.704
23 × 32 × 112 = 8.712
25 × 52 × 11 = 8.800
24 × 3 × 11 × 17 = 8.976
3 × 52 × 112 = 9.075
25 × 172 = 9.248
2 × 52 × 11 × 17 = 9.350
3 × 11 × 172 = 9.537
27 × 3 × 52 = 9.600
24 × 5 × 112 = 9.680
26 × 32 × 17 = 9.792
22 × 32 × 52 × 11 = 9.900
23 × 3 × 52 × 17 = 10.200
5 × 112 × 17 = 10.285
22 × 32 × 172 = 10.404
26 × 3 × 5 × 11 = 10.560
27 × 5 × 17 = 10.880
2 × 32 × 5 × 112 = 10.890
22 × 3 × 5 × 11 × 17 = 11.220
28 × 32 × 5 = 11.520
23 × 5 × 172 = 11.560
25 × 3 × 112 = 11.616
26 × 11 × 17 = 11.968
22 × 52 × 112 = 12.100
24 × 32 × 5 × 17 = 12.240
2 × 3 × 112 × 17 = 12.342
27 × 32 × 11 = 12.672
22 × 11 × 172 = 12.716
29 × 52 = 12.800
32 × 5 × 172 = 13.005
28 × 3 × 17 = 13.056
24 × 3 × 52 × 11 = 13.200
23 × 32 × 11 × 17 = 13.464
25 × 52 × 17 = 13.600
24 × 3 × 172 = 13.872
3 × 52 × 11 × 17 = 14.025
28 × 5 × 11 = 14.080
26 × 32 × 52 = 14.400
2 × 52 × 172 = 14.450
23 × 3 × 5 × 112 = 14.520
24 × 5 × 11 × 17 = 14.960
22 × 32 × 52 × 17 = 15.300
27 × 112 = 15.488
25 × 32 × 5 × 11 = 15.840
5 × 11 × 172 = 15.895
26 × 3 × 5 × 17 = 16.320
23 × 112 × 17 = 16.456
2 × 32 × 5 × 11 × 17 = 16.830
29 × 3 × 11 = 16.896
22 × 3 × 5 × 172 = 17.340
24 × 32 × 112 = 17.424
26 × 52 × 11 = 17.600
25 × 3 × 11 × 17 = 17.952
2 × 3 × 52 × 112 = 18.150
26 × 172 = 18.496
32 × 112 × 17 = 18.513
22 × 52 × 11 × 17 = 18.700
2 × 3 × 11 × 172 = 19.074
28 × 3 × 52 = 19.200
25 × 5 × 112 = 19.360
27 × 32 × 17 = 19.584
23 × 32 × 52 × 11 = 19.800
24 × 3 × 52 × 17 = 20.400
2 × 5 × 112 × 17 = 20.570
23 × 32 × 172 = 20.808
27 × 3 × 5 × 11 = 21.120
3 × 52 × 172 = 21.675
28 × 5 × 17 = 21.760
22 × 32 × 5 × 112 = 21.780
23 × 3 × 5 × 11 × 17 = 22.440
29 × 32 × 5 = 23.040
24 × 5 × 172 = 23.120
26 × 3 × 112 = 23.232
27 × 11 × 17 = 23.936
23 × 52 × 112 = 24.200
25 × 32 × 5 × 17 = 24.480
22 × 3 × 112 × 17 = 24.684
28 × 32 × 11 = 25.344
23 × 11 × 172 = 25.432
2 × 32 × 5 × 172 = 26.010
29 × 3 × 17 = 26.112
25 × 3 × 52 × 11 = 26.400
24 × 32 × 11 × 17 = 26.928
26 × 52 × 17 = 27.200
32 × 52 × 112 = 27.225
25 × 3 × 172 = 27.744
2 × 3 × 52 × 11 × 17 = 28.050
29 × 5 × 11 = 28.160
32 × 11 × 172 = 28.611
27 × 32 × 52 = 28.800
22 × 52 × 172 = 28.900
24 × 3 × 5 × 112 = 29.040
25 × 5 × 11 × 17 = 29.920
23 × 32 × 52 × 17 = 30.600
3 × 5 × 112 × 17 = 30.855
28 × 112 = 30.976
26 × 32 × 5 × 11 = 31.680
2 × 5 × 11 × 172 = 31.790
27 × 3 × 5 × 17 = 32.640
24 × 112 × 17 = 32.912
22 × 32 × 5 × 11 × 17 = 33.660
23 × 3 × 5 × 172 = 34.680
25 × 32 × 112 = 34.848
112 × 172 = 34.969
27 × 52 × 11 = 35.200
26 × 3 × 11 × 17 = 35.904
22 × 3 × 52 × 112 = 36.300
27 × 172 = 36.992
2 × 32 × 112 × 17 = 37.026
23 × 52 × 11 × 17 = 37.400
22 × 3 × 11 × 172 = 38.148
29 × 3 × 52 = 38.400
26 × 5 × 112 = 38.720
28 × 32 × 17 = 39.168
24 × 32 × 52 × 11 = 39.600
25 × 3 × 52 × 17 = 40.800
22 × 5 × 112 × 17 = 41.140
24 × 32 × 172 = 41.616
32 × 52 × 11 × 17 = 42.075
28 × 3 × 5 × 11 = 42.240
2 × 3 × 52 × 172 = 43.350
29 × 5 × 17 = 43.520
23 × 32 × 5 × 112 = 43.560
24 × 3 × 5 × 11 × 17 = 44.880
25 × 5 × 172 = 46.240
27 × 3 × 112 = 46.464
3 × 5 × 11 × 172 = 47.685
28 × 11 × 17 = 47.872
24 × 52 × 112 = 48.400
26 × 32 × 5 × 17 = 48.960
23 × 3 × 112 × 17 = 49.368
29 × 32 × 11 = 50.688
24 × 11 × 172 = 50.864
52 × 112 × 17 = 51.425
22 × 32 × 5 × 172 = 52.020
26 × 3 × 52 × 11 = 52.800
25 × 32 × 11 × 17 = 53.856
27 × 52 × 17 = 54.400
2 × 32 × 52 × 112 = 54.450
26 × 3 × 172 = 55.488
22 × 3 × 52 × 11 × 17 = 56.100
2 × 32 × 11 × 172 = 57.222
28 × 32 × 52 = 57.600
23 × 52 × 172 = 57.800
25 × 3 × 5 × 112 = 58.080
26 × 5 × 11 × 17 = 59.840
24 × 32 × 52 × 17 = 61.200
2 × 3 × 5 × 112 × 17 = 61.710
29 × 112 = 61.952
27 × 32 × 5 × 11 = 63.360
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22 × 5 × 11 × 172 = 63.580
32 × 52 × 172 = 65.025
28 × 3 × 5 × 17 = 65.280
25 × 112 × 17 = 65.824
23 × 32 × 5 × 11 × 17 = 67.320
24 × 3 × 5 × 172 = 69.360
26 × 32 × 112 = 69.696
2 × 112 × 172 = 69.938
28 × 52 × 11 = 70.400
27 × 3 × 11 × 17 = 71.808
23 × 3 × 52 × 112 = 72.600
28 × 172 = 73.984
22 × 32 × 112 × 17 = 74.052
24 × 52 × 11 × 17 = 74.800
23 × 3 × 11 × 172 = 76.296
27 × 5 × 112 = 77.440
29 × 32 × 17 = 78.336
25 × 32 × 52 × 11 = 79.200
52 × 11 × 172 = 79.475
26 × 3 × 52 × 17 = 81.600
23 × 5 × 112 × 17 = 82.280
25 × 32 × 172 = 83.232
2 × 32 × 52 × 11 × 17 = 84.150
29 × 3 × 5 × 11 = 84.480
22 × 3 × 52 × 172 = 86.700
24 × 32 × 5 × 112 = 87.120
25 × 3 × 5 × 11 × 17 = 89.760
26 × 5 × 172 = 92.480
32 × 5 × 112 × 17 = 92.565
28 × 3 × 112 = 92.928
2 × 3 × 5 × 11 × 172 = 95.370
29 × 11 × 17 = 95.744
25 × 52 × 112 = 96.800
27 × 32 × 5 × 17 = 97.920
24 × 3 × 112 × 17 = 98.736
25 × 11 × 172 = 101.728
2 × 52 × 112 × 17 = 102.850
23 × 32 × 5 × 172 = 104.040
3 × 112 × 172 = 104.907
27 × 3 × 52 × 11 = 105.600
26 × 32 × 11 × 17 = 107.712
28 × 52 × 17 = 108.800
22 × 32 × 52 × 112 = 108.900
27 × 3 × 172 = 110.976
23 × 3 × 52 × 11 × 17 = 112.200
22 × 32 × 11 × 172 = 114.444
29 × 32 × 52 = 115.200
24 × 52 × 172 = 115.600
26 × 3 × 5 × 112 = 116.160
27 × 5 × 11 × 17 = 119.680
25 × 32 × 52 × 17 = 122.400
22 × 3 × 5 × 112 × 17 = 123.420
28 × 32 × 5 × 11 = 126.720
23 × 5 × 11 × 172 = 127.160
2 × 32 × 52 × 172 = 130.050
29 × 3 × 5 × 17 = 130.560
26 × 112 × 17 = 131.648
24 × 32 × 5 × 11 × 17 = 134.640
25 × 3 × 5 × 172 = 138.720
27 × 32 × 112 = 139.392
22 × 112 × 172 = 139.876
29 × 52 × 11 = 140.800
32 × 5 × 11 × 172 = 143.055
28 × 3 × 11 × 17 = 143.616
24 × 3 × 52 × 112 = 145.200
29 × 172 = 147.968
23 × 32 × 112 × 17 = 148.104
25 × 52 × 11 × 17 = 149.600
24 × 3 × 11 × 172 = 152.592
3 × 52 × 112 × 17 = 154.275
28 × 5 × 112 = 154.880
26 × 32 × 52 × 11 = 158.400
2 × 52 × 11 × 172 = 158.950
27 × 3 × 52 × 17 = 163.200
24 × 5 × 112 × 17 = 164.560
26 × 32 × 172 = 166.464
22 × 32 × 52 × 11 × 17 = 168.300
23 × 3 × 52 × 172 = 173.400
25 × 32 × 5 × 112 = 174.240
5 × 112 × 172 = 174.845
26 × 3 × 5 × 11 × 17 = 179.520
27 × 5 × 172 = 184.960
2 × 32 × 5 × 112 × 17 = 185.130
29 × 3 × 112 = 185.856
22 × 3 × 5 × 11 × 172 = 190.740
26 × 52 × 112 = 193.600
28 × 32 × 5 × 17 = 195.840
25 × 3 × 112 × 17 = 197.472
26 × 11 × 172 = 203.456
22 × 52 × 112 × 17 = 205.700
24 × 32 × 5 × 172 = 208.080
2 × 3 × 112 × 172 = 209.814
28 × 3 × 52 × 11 = 211.200
27 × 32 × 11 × 17 = 215.424
29 × 52 × 17 = 217.600
23 × 32 × 52 × 112 = 217.800
28 × 3 × 172 = 221.952
24 × 3 × 52 × 11 × 17 = 224.400
23 × 32 × 11 × 172 = 228.888
25 × 52 × 172 = 231.200
27 × 3 × 5 × 112 = 232.320
3 × 52 × 11 × 172 = 238.425
28 × 5 × 11 × 17 = 239.360
26 × 32 × 52 × 17 = 244.800
23 × 3 × 5 × 112 × 17 = 246.840
29 × 32 × 5 × 11 = 253.440
24 × 5 × 11 × 172 = 254.320
22 × 32 × 52 × 172 = 260.100
27 × 112 × 17 = 263.296
25 × 32 × 5 × 11 × 17 = 269.280
26 × 3 × 5 × 172 = 277.440
28 × 32 × 112 = 278.784
23 × 112 × 172 = 279.752
2 × 32 × 5 × 11 × 172 = 286.110
29 × 3 × 11 × 17 = 287.232
25 × 3 × 52 × 112 = 290.400
24 × 32 × 112 × 17 = 296.208
26 × 52 × 11 × 17 = 299.200
25 × 3 × 11 × 172 = 305.184
2 × 3 × 52 × 112 × 17 = 308.550
29 × 5 × 112 = 309.760
32 × 112 × 172 = 314.721
27 × 32 × 52 × 11 = 316.800
22 × 52 × 11 × 172 = 317.900
28 × 3 × 52 × 17 = 326.400
25 × 5 × 112 × 17 = 329.120
27 × 32 × 172 = 332.928
23 × 32 × 52 × 11 × 17 = 336.600
24 × 3 × 52 × 172 = 346.800
26 × 32 × 5 × 112 = 348.480
2 × 5 × 112 × 172 = 349.690
27 × 3 × 5 × 11 × 17 = 359.040
28 × 5 × 172 = 369.920
22 × 32 × 5 × 112 × 17 = 370.260
23 × 3 × 5 × 11 × 172 = 381.480
27 × 52 × 112 = 387.200
29 × 32 × 5 × 17 = 391.680
26 × 3 × 112 × 17 = 394.944
27 × 11 × 172 = 406.912
23 × 52 × 112 × 17 = 411.400
25 × 32 × 5 × 172 = 416.160
22 × 3 × 112 × 172 = 419.628
29 × 3 × 52 × 11 = 422.400
28 × 32 × 11 × 17 = 430.848
24 × 32 × 52 × 112 = 435.600
29 × 3 × 172 = 443.904
25 × 3 × 52 × 11 × 17 = 448.800
24 × 32 × 11 × 172 = 457.776
26 × 52 × 172 = 462.400
32 × 52 × 112 × 17 = 462.825
28 × 3 × 5 × 112 = 464.640
2 × 3 × 52 × 11 × 172 = 476.850
29 × 5 × 11 × 17 = 478.720
27 × 32 × 52 × 17 = 489.600
24 × 3 × 5 × 112 × 17 = 493.680
25 × 5 × 11 × 172 = 508.640
23 × 32 × 52 × 172 = 520.200
3 × 5 × 112 × 172 = 524.535
28 × 112 × 17 = 526.592
26 × 32 × 5 × 11 × 17 = 538.560
27 × 3 × 5 × 172 = 554.880
29 × 32 × 112 = 557.568
24 × 112 × 172 = 559.504
22 × 32 × 5 × 11 × 172 = 572.220
26 × 3 × 52 × 112 = 580.800
25 × 32 × 112 × 17 = 592.416
27 × 52 × 11 × 17 = 598.400
26 × 3 × 11 × 172 = 610.368
22 × 3 × 52 × 112 × 17 = 617.100
2 × 32 × 112 × 172 = 629.442
28 × 32 × 52 × 11 = 633.600
23 × 52 × 11 × 172 = 635.800
29 × 3 × 52 × 17 = 652.800
26 × 5 × 112 × 17 = 658.240
28 × 32 × 172 = 665.856
24 × 32 × 52 × 11 × 17 = 673.200
25 × 3 × 52 × 172 = 693.600
27 × 32 × 5 × 112 = 696.960
22 × 5 × 112 × 172 = 699.380
32 × 52 × 11 × 172 = 715.275
28 × 3 × 5 × 11 × 17 = 718.080
29 × 5 × 172 = 739.840
23 × 32 × 5 × 112 × 17 = 740.520
24 × 3 × 5 × 11 × 172 = 762.960
28 × 52 × 112 = 774.400
27 × 3 × 112 × 17 = 789.888
28 × 11 × 172 = 813.824
24 × 52 × 112 × 17 = 822.800
26 × 32 × 5 × 172 = 832.320
23 × 3 × 112 × 172 = 839.256
29 × 32 × 11 × 17 = 861.696
25 × 32 × 52 × 112 = 871.200
52 × 112 × 172 = 874.225
26 × 3 × 52 × 11 × 17 = 897.600
25 × 32 × 11 × 172 = 915.552
27 × 52 × 172 = 924.800
2 × 32 × 52 × 112 × 17 = 925.650
29 × 3 × 5 × 112 = 929.280
22 × 3 × 52 × 11 × 172 = 953.700
28 × 32 × 52 × 17 = 979.200
25 × 3 × 5 × 112 × 17 = 987.360
26 × 5 × 11 × 172 = 1.017.280
24 × 32 × 52 × 172 = 1.040.400
2 × 3 × 5 × 112 × 172 = 1.049.070
29 × 112 × 17 = 1.053.184
27 × 32 × 5 × 11 × 17 = 1.077.120
28 × 3 × 5 × 172 = 1.109.760
25 × 112 × 172 = 1.119.008
23 × 32 × 5 × 11 × 172 = 1.144.440
27 × 3 × 52 × 112 = 1.161.600
26 × 32 × 112 × 17 = 1.184.832
28 × 52 × 11 × 17 = 1.196.800
27 × 3 × 11 × 172 = 1.220.736
23 × 3 × 52 × 112 × 17 = 1.234.200
22 × 32 × 112 × 172 = 1.258.884
29 × 32 × 52 × 11 = 1.267.200
24 × 52 × 11 × 172 = 1.271.600
27 × 5 × 112 × 17 = 1.316.480
29 × 32 × 172 = 1.331.712
25 × 32 × 52 × 11 × 17 = 1.346.400
26 × 3 × 52 × 172 = 1.387.200
28 × 32 × 5 × 112 = 1.393.920
23 × 5 × 112 × 172 = 1.398.760
2 × 32 × 52 × 11 × 172 = 1.430.550
29 × 3 × 5 × 11 × 17 = 1.436.160
24 × 32 × 5 × 112 × 17 = 1.481.040
25 × 3 × 5 × 11 × 172 = 1.525.920
29 × 52 × 112 = 1.548.800
32 × 5 × 112 × 172 = 1.573.605
28 × 3 × 112 × 17 = 1.579.776
29 × 11 × 172 = 1.627.648
25 × 52 × 112 × 17 = 1.645.600
27 × 32 × 5 × 172 = 1.664.640
24 × 3 × 112 × 172 = 1.678.512
26 × 32 × 52 × 112 = 1.742.400
2 × 52 × 112 × 172 = 1.748.450
27 × 3 × 52 × 11 × 17 = 1.795.200
26 × 32 × 11 × 172 = 1.831.104
28 × 52 × 172 = 1.849.600
22 × 32 × 52 × 112 × 17 = 1.851.300
23 × 3 × 52 × 11 × 172 = 1.907.400
29 × 32 × 52 × 17 = 1.958.400
26 × 3 × 5 × 112 × 17 = 1.974.720
27 × 5 × 11 × 172 = 2.034.560
25 × 32 × 52 × 172 = 2.080.800
22 × 3 × 5 × 112 × 172 = 2.098.140
28 × 32 × 5 × 11 × 17 = 2.154.240
29 × 3 × 5 × 172 = 2.219.520
26 × 112 × 172 = 2.238.016
24 × 32 × 5 × 11 × 172 = 2.288.880
28 × 3 × 52 × 112 = 2.323.200
27 × 32 × 112 × 17 = 2.369.664
29 × 52 × 11 × 17 = 2.393.600
28 × 3 × 11 × 172 = 2.441.472
24 × 3 × 52 × 112 × 17 = 2.468.400
23 × 32 × 112 × 172 = 2.517.768
25 × 52 × 11 × 172 = 2.543.200
3 × 52 × 112 × 172 = 2.622.675
28 × 5 × 112 × 17 = 2.632.960
26 × 32 × 52 × 11 × 17 = 2.692.800
27 × 3 × 52 × 172 = 2.774.400
29 × 32 × 5 × 112 = 2.787.840
24 × 5 × 112 × 172 = 2.797.520
22 × 32 × 52 × 11 × 172 = 2.861.100
25 × 32 × 5 × 112 × 17 = 2.962.080
26 × 3 × 5 × 11 × 172 = 3.051.840
2 × 32 × 5 × 112 × 172 = 3.147.210
29 × 3 × 112 × 17 = 3.159.552
26 × 52 × 112 × 17 = 3.291.200
28 × 32 × 5 × 172 = 3.329.280
25 × 3 × 112 × 172 = 3.357.024
27 × 32 × 52 × 112 = 3.484.800
22 × 52 × 112 × 172 = 3.496.900
28 × 3 × 52 × 11 × 17 = 3.590.400
27 × 32 × 11 × 172 = 3.662.208
29 × 52 × 172 = 3.699.200
23 × 32 × 52 × 112 × 17 = 3.702.600
24 × 3 × 52 × 11 × 172 = 3.814.800
27 × 3 × 5 × 112 × 17 = 3.949.440
28 × 5 × 11 × 172 = 4.069.120
26 × 32 × 52 × 172 = 4.161.600
23 × 3 × 5 × 112 × 172 = 4.196.280
29 × 32 × 5 × 11 × 17 = 4.308.480
27 × 112 × 172 = 4.476.032
25 × 32 × 5 × 11 × 172 = 4.577.760
29 × 3 × 52 × 112 = 4.646.400
28 × 32 × 112 × 17 = 4.739.328
29 × 3 × 11 × 172 = 4.882.944
25 × 3 × 52 × 112 × 17 = 4.936.800
24 × 32 × 112 × 172 = 5.035.536
26 × 52 × 11 × 172 = 5.086.400
2 × 3 × 52 × 112 × 172 = 5.245.350
29 × 5 × 112 × 17 = 5.265.920
27 × 32 × 52 × 11 × 17 = 5.385.600
28 × 3 × 52 × 172 = 5.548.800
25 × 5 × 112 × 172 = 5.595.040
23 × 32 × 52 × 11 × 172 = 5.722.200
26 × 32 × 5 × 112 × 17 = 5.924.160
27 × 3 × 5 × 11 × 172 = 6.103.680
22 × 32 × 5 × 112 × 172 = 6.294.420
27 × 52 × 112 × 17 = 6.582.400
29 × 32 × 5 × 172 = 6.658.560
26 × 3 × 112 × 172 = 6.714.048
28 × 32 × 52 × 112 = 6.969.600
23 × 52 × 112 × 172 = 6.993.800
29 × 3 × 52 × 11 × 17 = 7.180.800
28 × 32 × 11 × 172 = 7.324.416
24 × 32 × 52 × 112 × 17 = 7.405.200
25 × 3 × 52 × 11 × 172 = 7.629.600
32 × 52 × 112 × 172 = 7.868.025
28 × 3 × 5 × 112 × 17 = 7.898.880
29 × 5 × 11 × 172 = 8.138.240
27 × 32 × 52 × 172 = 8.323.200
24 × 3 × 5 × 112 × 172 = 8.392.560
28 × 112 × 172 = 8.952.064
26 × 32 × 5 × 11 × 172 = 9.155.520
29 × 32 × 112 × 17 = 9.478.656
26 × 3 × 52 × 112 × 17 = 9.873.600
25 × 32 × 112 × 172 = 10.071.072
27 × 52 × 11 × 172 = 10.172.800
22 × 3 × 52 × 112 × 172 = 10.490.700
28 × 32 × 52 × 11 × 17 = 10.771.200
29 × 3 × 52 × 172 = 11.097.600
26 × 5 × 112 × 172 = 11.190.080
24 × 32 × 52 × 11 × 172 = 11.444.400
27 × 32 × 5 × 112 × 17 = 11.848.320
28 × 3 × 5 × 11 × 172 = 12.207.360
23 × 32 × 5 × 112 × 172 = 12.588.840
28 × 52 × 112 × 17 = 13.164.800
27 × 3 × 112 × 172 = 13.428.096
29 × 32 × 52 × 112 = 13.939.200
24 × 52 × 112 × 172 = 13.987.600
29 × 32 × 11 × 172 = 14.648.832
25 × 32 × 52 × 112 × 17 = 14.810.400
26 × 3 × 52 × 11 × 172 = 15.259.200
2 × 32 × 52 × 112 × 172 = 15.736.050
29 × 3 × 5 × 112 × 17 = 15.797.760
28 × 32 × 52 × 172 = 16.646.400
25 × 3 × 5 × 112 × 172 = 16.785.120
29 × 112 × 172 = 17.904.128
27 × 32 × 5 × 11 × 172 = 18.311.040
27 × 3 × 52 × 112 × 17 = 19.747.200
26 × 32 × 112 × 172 = 20.142.144
28 × 52 × 11 × 172 = 20.345.600
23 × 3 × 52 × 112 × 172 = 20.981.400
29 × 32 × 52 × 11 × 17 = 21.542.400
27 × 5 × 112 × 172 = 22.380.160
25 × 32 × 52 × 11 × 172 = 22.888.800
28 × 32 × 5 × 112 × 17 = 23.696.640
29 × 3 × 5 × 11 × 172 = 24.414.720
24 × 32 × 5 × 112 × 172 = 25.177.680
29 × 52 × 112 × 17 = 26.329.600
28 × 3 × 112 × 172 = 26.856.192
25 × 52 × 112 × 172 = 27.975.200
26 × 32 × 52 × 112 × 17 = 29.620.800
27 × 3 × 52 × 11 × 172 = 30.518.400
22 × 32 × 52 × 112 × 172 = 31.472.100
29 × 32 × 52 × 172 = 33.292.800
26 × 3 × 5 × 112 × 172 = 33.570.240
28 × 32 × 5 × 11 × 172 = 36.622.080
28 × 3 × 52 × 112 × 17 = 39.494.400
27 × 32 × 112 × 172 = 40.284.288
29 × 52 × 11 × 172 = 40.691.200
24 × 3 × 52 × 112 × 172 = 41.962.800
28 × 5 × 112 × 172 = 44.760.320
26 × 32 × 52 × 11 × 172 = 45.777.600
29 × 32 × 5 × 112 × 17 = 47.393.280
25 × 32 × 5 × 112 × 172 = 50.355.360
29 × 3 × 112 × 172 = 53.712.384
26 × 52 × 112 × 172 = 55.950.400
27 × 32 × 52 × 112 × 17 = 59.241.600
28 × 3 × 52 × 11 × 172 = 61.036.800
23 × 32 × 52 × 112 × 172 = 62.944.200
27 × 3 × 5 × 112 × 172 = 67.140.480
29 × 32 × 5 × 11 × 172 = 73.244.160
29 × 3 × 52 × 112 × 17 = 78.988.800
28 × 32 × 112 × 172 = 80.568.576
25 × 3 × 52 × 112 × 172 = 83.925.600
29 × 5 × 112 × 172 = 89.520.640
27 × 32 × 52 × 11 × 172 = 91.555.200
26 × 32 × 5 × 112 × 172 = 100.710.720
27 × 52 × 112 × 172 = 111.900.800
28 × 32 × 52 × 112 × 17 = 118.483.200
29 × 3 × 52 × 11 × 172 = 122.073.600
24 × 32 × 52 × 112 × 172 = 125.888.400
28 × 3 × 5 × 112 × 172 = 134.280.960
29 × 32 × 112 × 172 = 161.137.152
26 × 3 × 52 × 112 × 172 = 167.851.200
28 × 32 × 52 × 11 × 172 = 183.110.400
27 × 32 × 5 × 112 × 172 = 201.421.440
28 × 52 × 112 × 172 = 223.801.600
29 × 32 × 52 × 112 × 17 = 236.966.400
25 × 32 × 52 × 112 × 172 = 251.776.800
29 × 3 × 5 × 112 × 172 = 268.561.920
27 × 3 × 52 × 112 × 172 = 335.702.400
29 × 32 × 52 × 11 × 172 = 366.220.800
28 × 32 × 5 × 112 × 172 = 402.842.880
29 × 52 × 112 × 172 = 447.603.200
26 × 32 × 52 × 112 × 172 = 503.553.600
28 × 3 × 52 × 112 × 172 = 671.404.800
29 × 32 × 5 × 112 × 172 = 805.685.760
27 × 32 × 52 × 112 × 172 = 1.007.107.200
29 × 3 × 52 × 112 × 172 = 1.342.809.600
28 × 32 × 52 × 112 × 172 = 2.014.214.400
29 × 32 × 52 × 112 × 172 = 4.028.428.800

La respuesta final:
(desplazarse hacia abajo)

4.028.428.800 tiene 810 divisores:
1; 2; 3; 4; 5; 6; 8; 9; 10; 11; 12; 15; 16; 17; 18; 20; 22; 24; 25; 30; 32; 33; 34; 36; 40; 44; 45; 48; 50; 51; 55; 60; 64; 66; 68; 72; 75; 80; 85; 88; 90; 96; 99; 100; 102; 110; 120; 121; 128; 132; 136; 144; 150; 153; 160; 165; 170; 176; 180; 187; 192; 198; 200; 204; 220; 225; 240; 242; 255; 256; 264; 272; 275; 288; 289; 300; 306; 320; 330; 340; 352; 360; 363; 374; 384; 396; 400; 408; 425; 440; 450; 480; 484; 495; 510; 512; 528; 544; 550; 561; 576; 578; 600; 605; 612; 640; 660; 680; 704; 720; 726; 748; 765; 768; 792; 800; 816; 825; 850; 867; 880; 900; 935; 960; 968; 990; 1.020; 1.056; 1.088; 1.089; 1.100; 1.122; 1.152; 1.156; 1.200; 1.210; 1.224; 1.275; 1.280; 1.320; 1.360; 1.408; 1.440; 1.445; 1.452; 1.496; 1.530; 1.536; 1.584; 1.600; 1.632; 1.650; 1.683; 1.700; 1.734; 1.760; 1.800; 1.815; 1.870; 1.920; 1.936; 1.980; 2.040; 2.057; 2.112; 2.176; 2.178; 2.200; 2.244; 2.304; 2.312; 2.400; 2.420; 2.448; 2.475; 2.550; 2.560; 2.601; 2.640; 2.720; 2.805; 2.816; 2.880; 2.890; 2.904; 2.992; 3.025; 3.060; 3.168; 3.179; 3.200; 3.264; 3.300; 3.366; 3.400; 3.468; 3.520; 3.600; 3.630; 3.740; 3.825; 3.840; 3.872; 3.960; 4.080; 4.114; 4.224; 4.335; 4.352; 4.356; 4.400; 4.488; 4.608; 4.624; 4.675; 4.800; 4.840; 4.896; 4.950; 5.100; 5.202; 5.280; 5.440; 5.445; 5.610; 5.632; 5.760; 5.780; 5.808; 5.984; 6.050; 6.120; 6.171; 6.336; 6.358; 6.400; 6.528; 6.600; 6.732; 6.800; 6.936; 7.040; 7.200; 7.225; 7.260; 7.480; 7.650; 7.680; 7.744; 7.920; 8.160; 8.228; 8.415; 8.448; 8.670; 8.704; 8.712; 8.800; 8.976; 9.075; 9.248; 9.350; 9.537; 9.600; 9.680; 9.792; 9.900; 10.200; 10.285; 10.404; 10.560; 10.880; 10.890; 11.220; 11.520; 11.560; 11.616; 11.968; 12.100; 12.240; 12.342; 12.672; 12.716; 12.800; 13.005; 13.056; 13.200; 13.464; 13.600; 13.872; 14.025; 14.080; 14.400; 14.450; 14.520; 14.960; 15.300; 15.488; 15.840; 15.895; 16.320; 16.456; 16.830; 16.896; 17.340; 17.424; 17.600; 17.952; 18.150; 18.496; 18.513; 18.700; 19.074; 19.200; 19.360; 19.584; 19.800; 20.400; 20.570; 20.808; 21.120; 21.675; 21.760; 21.780; 22.440; 23.040; 23.120; 23.232; 23.936; 24.200; 24.480; 24.684; 25.344; 25.432; 26.010; 26.112; 26.400; 26.928; 27.200; 27.225; 27.744; 28.050; 28.160; 28.611; 28.800; 28.900; 29.040; 29.920; 30.600; 30.855; 30.976; 31.680; 31.790; 32.640; 32.912; 33.660; 34.680; 34.848; 34.969; 35.200; 35.904; 36.300; 36.992; 37.026; 37.400; 38.148; 38.400; 38.720; 39.168; 39.600; 40.800; 41.140; 41.616; 42.075; 42.240; 43.350; 43.520; 43.560; 44.880; 46.240; 46.464; 47.685; 47.872; 48.400; 48.960; 49.368; 50.688; 50.864; 51.425; 52.020; 52.800; 53.856; 54.400; 54.450; 55.488; 56.100; 57.222; 57.600; 57.800; 58.080; 59.840; 61.200; 61.710; 61.952; 63.360; 63.580; 65.025; 65.280; 65.824; 67.320; 69.360; 69.696; 69.938; 70.400; 71.808; 72.600; 73.984; 74.052; 74.800; 76.296; 77.440; 78.336; 79.200; 79.475; 81.600; 82.280; 83.232; 84.150; 84.480; 86.700; 87.120; 89.760; 92.480; 92.565; 92.928; 95.370; 95.744; 96.800; 97.920; 98.736; 101.728; 102.850; 104.040; 104.907; 105.600; 107.712; 108.800; 108.900; 110.976; 112.200; 114.444; 115.200; 115.600; 116.160; 119.680; 122.400; 123.420; 126.720; 127.160; 130.050; 130.560; 131.648; 134.640; 138.720; 139.392; 139.876; 140.800; 143.055; 143.616; 145.200; 147.968; 148.104; 149.600; 152.592; 154.275; 154.880; 158.400; 158.950; 163.200; 164.560; 166.464; 168.300; 173.400; 174.240; 174.845; 179.520; 184.960; 185.130; 185.856; 190.740; 193.600; 195.840; 197.472; 203.456; 205.700; 208.080; 209.814; 211.200; 215.424; 217.600; 217.800; 221.952; 224.400; 228.888; 231.200; 232.320; 238.425; 239.360; 244.800; 246.840; 253.440; 254.320; 260.100; 263.296; 269.280; 277.440; 278.784; 279.752; 286.110; 287.232; 290.400; 296.208; 299.200; 305.184; 308.550; 309.760; 314.721; 316.800; 317.900; 326.400; 329.120; 332.928; 336.600; 346.800; 348.480; 349.690; 359.040; 369.920; 370.260; 381.480; 387.200; 391.680; 394.944; 406.912; 411.400; 416.160; 419.628; 422.400; 430.848; 435.600; 443.904; 448.800; 457.776; 462.400; 462.825; 464.640; 476.850; 478.720; 489.600; 493.680; 508.640; 520.200; 524.535; 526.592; 538.560; 554.880; 557.568; 559.504; 572.220; 580.800; 592.416; 598.400; 610.368; 617.100; 629.442; 633.600; 635.800; 652.800; 658.240; 665.856; 673.200; 693.600; 696.960; 699.380; 715.275; 718.080; 739.840; 740.520; 762.960; 774.400; 789.888; 813.824; 822.800; 832.320; 839.256; 861.696; 871.200; 874.225; 897.600; 915.552; 924.800; 925.650; 929.280; 953.700; 979.200; 987.360; 1.017.280; 1.040.400; 1.049.070; 1.053.184; 1.077.120; 1.109.760; 1.119.008; 1.144.440; 1.161.600; 1.184.832; 1.196.800; 1.220.736; 1.234.200; 1.258.884; 1.267.200; 1.271.600; 1.316.480; 1.331.712; 1.346.400; 1.387.200; 1.393.920; 1.398.760; 1.430.550; 1.436.160; 1.481.040; 1.525.920; 1.548.800; 1.573.605; 1.579.776; 1.627.648; 1.645.600; 1.664.640; 1.678.512; 1.742.400; 1.748.450; 1.795.200; 1.831.104; 1.849.600; 1.851.300; 1.907.400; 1.958.400; 1.974.720; 2.034.560; 2.080.800; 2.098.140; 2.154.240; 2.219.520; 2.238.016; 2.288.880; 2.323.200; 2.369.664; 2.393.600; 2.441.472; 2.468.400; 2.517.768; 2.543.200; 2.622.675; 2.632.960; 2.692.800; 2.774.400; 2.787.840; 2.797.520; 2.861.100; 2.962.080; 3.051.840; 3.147.210; 3.159.552; 3.291.200; 3.329.280; 3.357.024; 3.484.800; 3.496.900; 3.590.400; 3.662.208; 3.699.200; 3.702.600; 3.814.800; 3.949.440; 4.069.120; 4.161.600; 4.196.280; 4.308.480; 4.476.032; 4.577.760; 4.646.400; 4.739.328; 4.882.944; 4.936.800; 5.035.536; 5.086.400; 5.245.350; 5.265.920; 5.385.600; 5.548.800; 5.595.040; 5.722.200; 5.924.160; 6.103.680; 6.294.420; 6.582.400; 6.658.560; 6.714.048; 6.969.600; 6.993.800; 7.180.800; 7.324.416; 7.405.200; 7.629.600; 7.868.025; 7.898.880; 8.138.240; 8.323.200; 8.392.560; 8.952.064; 9.155.520; 9.478.656; 9.873.600; 10.071.072; 10.172.800; 10.490.700; 10.771.200; 11.097.600; 11.190.080; 11.444.400; 11.848.320; 12.207.360; 12.588.840; 13.164.800; 13.428.096; 13.939.200; 13.987.600; 14.648.832; 14.810.400; 15.259.200; 15.736.050; 15.797.760; 16.646.400; 16.785.120; 17.904.128; 18.311.040; 19.747.200; 20.142.144; 20.345.600; 20.981.400; 21.542.400; 22.380.160; 22.888.800; 23.696.640; 24.414.720; 25.177.680; 26.329.600; 26.856.192; 27.975.200; 29.620.800; 30.518.400; 31.472.100; 33.292.800; 33.570.240; 36.622.080; 39.494.400; 40.284.288; 40.691.200; 41.962.800; 44.760.320; 45.777.600; 47.393.280; 50.355.360; 53.712.384; 55.950.400; 59.241.600; 61.036.800; 62.944.200; 67.140.480; 73.244.160; 78.988.800; 80.568.576; 83.925.600; 89.520.640; 91.555.200; 100.710.720; 111.900.800; 118.483.200; 122.073.600; 125.888.400; 134.280.960; 161.137.152; 167.851.200; 183.110.400; 201.421.440; 223.801.600; 236.966.400; 251.776.800; 268.561.920; 335.702.400; 366.220.800; 402.842.880; 447.603.200; 503.553.600; 671.404.800; 805.685.760; 1.007.107.200; 1.342.809.600; 2.014.214.400 y 4.028.428.800
de los cuales 5 factores primos: 2; 3; 5; 11 y 17

Una forma rápida de encontrar los divisores de un número es descomponerlo en factores primos.

Luego multiplica los factores primos y sus exponentes, si los hay, en todas sus diferentes combinaciones.


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Calcula todos los divisores de los números dados:

Cómo calcular (encontrar) todos los divisores de un número:

Descomponer el número en factores primos (descomposición factorial). Luego multiplica sus factores primos en todas sus combinaciones únicas, que dan resultados diferentes.

Para calcular los divisores comunes de dos números:

Los divisores comunes de dos números son todos los divisores del máximo común divisor, mcd.

Calcula el máximo común divisor de los dos números, mcd.

Descompone el mcd en factores primos. Luego multiplica sus factores primos en todas sus combinaciones únicas, que dan resultados diferentes.

Los últimos 10 conjuntos de divisores calculados: de un número o los divisores comunes de dos números

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La lista de todos los divisores calculados de uno o dos números

Divisores, divisores comunes, el máximo común divisor, MCD

  • Si el número "t" es un divisor del número "a", entonces en la descomposición en factores primos de "t" solo encontraremos factores primos que también ocurren en la descomposición en factores primos de "a".
  • Si hay exponentes involucrados, el valor máximo de un exponente para cualquier base de una potencia que se encuentra en la descomposición en factores primos de "t" es como máximo igual al exponente de la misma base que está involucrado en la descomposición en factores primos de "a".
  • Nota: 23 = 2 × 2 × 2 = 8. Decimos que 2 fue elevado a la potencia de 3, o más simple, 2 elevado a 3. En este ejemplo, 3 es el exponente y 2 es la base. El exponente indica cuántas veces se multiplica la base por sí misma. 23 es la potencia y 8 es el valor de la potencia.
  • Por ejemplo, 12 es un divisor de 120 - el resto es cero al dividir 120 por 12.
  • Miremos la descomposición en factores primos de ambos números y observemos las bases y los exponentes de los factores primos que ocurren en la descomposición en factores primos de ambos números:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contiene todos los factores primos de 12, y todos los exponentes de sus bases son mayores que los de 12.
  • Si "t" es un divisor común de "a" y "b", entonces la descomposición en factores primos de "t" contiene solo los factores primos comunes involucrados en las descomposición en factores primos de "a" y "b".
  • Si hay exponentes involucrados: el valor máximo de un exponente de cualquier base de una potencia que se encuentra en la factorización prima del número "t" - es como máximo igual al mínimo de los exponentes de la misma base que ocurre en el descomposición en factores primos de los números "a" y "b".
  • Por ejemplo, 12 es el divisor común de 48 y 360.
  • El resto es cero al dividir 48 o 360 por 12.
  • Aquí están las descomposición en factores primos de los tres números, 12, 48 y 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Ten en cuenta que 48 y 360 tienen más divisores: 2, 3, 4, 6, 8, 12, 24. Entre ellos, 24 es el máximo común divisor, mcd, de 48 y 360.
  • El máximo común divisor, mcd, de dos números, "a" y "b", es el producto de todos los factores primos comunes involucrados en las descomposición en factores primos de "a" y "b", tomados por los exponentes más bajos.
  • Con base en esta regla, se calcula el máximo común divisor, mcd, de varios números, como se muestra en el siguiente ejemplo...
  • mcd (1.260; 3.024; 5.544) = ?
  • 1.260 = 22 × 32
  • 3.024 = 24 × 32 × 7
  • 5.544 = 23 × 32 × 7 × 11
  • Los factores primos comunes son:
  • 2 - su exponente más bajo es: min. (2; 3; 4) = 2
  • 3 - su exponente más bajo es: min. (2; 2; 2) = 2
  • mcd (1.260; 3.024; 5.544) = 22 × 32 = 252
  • Números que son primos entre sí (coprimos, primos relativos):
  • Si dos números "a" y "b" no tienen más divisores comunes que 1, mcd (a; b) = 1, entonces los números "a" y "b" se llaman primos entre sí (coprimos, primos relativos).
  • Divisores del MCD
  • Si "a" y "b" no son primos entre sí, entonces todo divisor común de "a" y "b" es también un divisor del máximo común divisor, mcd, de "a" y "b".