465.903.900: Todos los divisores propios, impropios y factores primos de número entero

Los divisores del número 465.903.900

La forma más rápida de encontrar todos los divisores de 465.903.900: 1) Descompóngalo en factores primos y 2) Pruebe todas las combinaciones de los factores primos que dan diferentes resultados

Nota:

Divisor de un número A: un número B que multiplicado por otro C produce el número A dado. Tanto B como C son divisores de A.



Factorización de entero en factores primos:

Descomposición de un número en factores primos: es encontrar los números primos que se multiplican para formar ese número.


465.903.900 = 22 × 36 × 52 × 7 × 11 × 83;
465.903.900 no es número primo, es un número compuesto;


* Los números que solo se dividen por sí mismos y por 1, se llaman números primos. Un número primo tiene solo dos divisores: 1 y él mismo.
* Todo número natural que tiene uno o más divisores distintos a 1 y a sí mismo se denomina compuesto.




¿Cómo encontrar todos los divisores del número?

465.903.900 = 22 × 36 × 52 × 7 × 11 × 83


Obtener todas las combinaciones (multiplicaciones) de los factores primos del número, que dan diferentes resultados.


También considere los exponentes de los factores primos.


También agregue 1 a la lista de divisores. Todos los números son divisibles por 1.


Todos los divisores se enumeran a continuación, en orden ascendente.



Lista de divisores:

ni un primo ni un compuesto = 1
factor primo = 2
factor primo = 3
22 = 4
factor primo = 5
2 × 3 = 6
factor primo = 7
32 = 9
2 × 5 = 10
factor primo = 11
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
52 = 25
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... esto continúa desde arriba
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
3 × 11 = 33
5 × 7 = 35
22 × 32 = 36
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
2 × 52 = 50
2 × 33 = 54
5 × 11 = 55
22 × 3 × 5 = 60
32 × 7 = 63
2 × 3 × 11 = 66
2 × 5 × 7 = 70
3 × 52 = 75
7 × 11 = 77
34 = 81
factor primo = 83
22 × 3 × 7 = 84
2 × 32 × 5 = 90
32 × 11 = 99
22 × 52 = 100
3 × 5 × 7 = 105
22 × 33 = 108
2 × 5 × 11 = 110
2 × 32 × 7 = 126
22 × 3 × 11 = 132
33 × 5 = 135
22 × 5 × 7 = 140
2 × 3 × 52 = 150
2 × 7 × 11 = 154
2 × 34 = 162
3 × 5 × 11 = 165
2 × 83 = 166
52 × 7 = 175
22 × 32 × 5 = 180
33 × 7 = 189
2 × 32 × 11 = 198
2 × 3 × 5 × 7 = 210
22 × 5 × 11 = 220
32 × 52 = 225
3 × 7 × 11 = 231
35 = 243
3 × 83 = 249
22 × 32 × 7 = 252
2 × 33 × 5 = 270
52 × 11 = 275
33 × 11 = 297
22 × 3 × 52 = 300
22 × 7 × 11 = 308
32 × 5 × 7 = 315
22 × 34 = 324
2 × 3 × 5 × 11 = 330
22 × 83 = 332
2 × 52 × 7 = 350
2 × 33 × 7 = 378
5 × 7 × 11 = 385
22 × 32 × 11 = 396
34 × 5 = 405
5 × 83 = 415
22 × 3 × 5 × 7 = 420
2 × 32 × 52 = 450
2 × 3 × 7 × 11 = 462
2 × 35 = 486
32 × 5 × 11 = 495
2 × 3 × 83 = 498
3 × 52 × 7 = 525
22 × 33 × 5 = 540
2 × 52 × 11 = 550
34 × 7 = 567
7 × 83 = 581
2 × 33 × 11 = 594
2 × 32 × 5 × 7 = 630
22 × 3 × 5 × 11 = 660
33 × 52 = 675
32 × 7 × 11 = 693
22 × 52 × 7 = 700
36 = 729
32 × 83 = 747
22 × 33 × 7 = 756
2 × 5 × 7 × 11 = 770
2 × 34 × 5 = 810
3 × 52 × 11 = 825
2 × 5 × 83 = 830
34 × 11 = 891
22 × 32 × 52 = 900
11 × 83 = 913
22 × 3 × 7 × 11 = 924
33 × 5 × 7 = 945
22 × 35 = 972
2 × 32 × 5 × 11 = 990
22 × 3 × 83 = 996
2 × 3 × 52 × 7 = 1.050
22 × 52 × 11 = 1.100
2 × 34 × 7 = 1.134
3 × 5 × 7 × 11 = 1.155
2 × 7 × 83 = 1.162
22 × 33 × 11 = 1.188
35 × 5 = 1.215
3 × 5 × 83 = 1.245
22 × 32 × 5 × 7 = 1.260
2 × 33 × 52 = 1.350
2 × 32 × 7 × 11 = 1.386
2 × 36 = 1.458
33 × 5 × 11 = 1.485
2 × 32 × 83 = 1.494
22 × 5 × 7 × 11 = 1.540
32 × 52 × 7 = 1.575
22 × 34 × 5 = 1.620
2 × 3 × 52 × 11 = 1.650
22 × 5 × 83 = 1.660
35 × 7 = 1.701
3 × 7 × 83 = 1.743
2 × 34 × 11 = 1.782
2 × 11 × 83 = 1.826
2 × 33 × 5 × 7 = 1.890
52 × 7 × 11 = 1.925
22 × 32 × 5 × 11 = 1.980
34 × 52 = 2.025
52 × 83 = 2.075
33 × 7 × 11 = 2.079
22 × 3 × 52 × 7 = 2.100
33 × 83 = 2.241
22 × 34 × 7 = 2.268
2 × 3 × 5 × 7 × 11 = 2.310
22 × 7 × 83 = 2.324
2 × 35 × 5 = 2.430
32 × 52 × 11 = 2.475
2 × 3 × 5 × 83 = 2.490
35 × 11 = 2.673
22 × 33 × 52 = 2.700
3 × 11 × 83 = 2.739
22 × 32 × 7 × 11 = 2.772
34 × 5 × 7 = 2.835
5 × 7 × 83 = 2.905
22 × 36 = 2.916
2 × 33 × 5 × 11 = 2.970
22 × 32 × 83 = 2.988
2 × 32 × 52 × 7 = 3.150
22 × 3 × 52 × 11 = 3.300
2 × 35 × 7 = 3.402
32 × 5 × 7 × 11 = 3.465
2 × 3 × 7 × 83 = 3.486
22 × 34 × 11 = 3.564
36 × 5 = 3.645
22 × 11 × 83 = 3.652
32 × 5 × 83 = 3.735
22 × 33 × 5 × 7 = 3.780
2 × 52 × 7 × 11 = 3.850
2 × 34 × 52 = 4.050
2 × 52 × 83 = 4.150
2 × 33 × 7 × 11 = 4.158
34 × 5 × 11 = 4.455
2 × 33 × 83 = 4.482
5 × 11 × 83 = 4.565
22 × 3 × 5 × 7 × 11 = 4.620
33 × 52 × 7 = 4.725
22 × 35 × 5 = 4.860
2 × 32 × 52 × 11 = 4.950
22 × 3 × 5 × 83 = 4.980
36 × 7 = 5.103
32 × 7 × 83 = 5.229
2 × 35 × 11 = 5.346
2 × 3 × 11 × 83 = 5.478
2 × 34 × 5 × 7 = 5.670
3 × 52 × 7 × 11 = 5.775
2 × 5 × 7 × 83 = 5.810
22 × 33 × 5 × 11 = 5.940
35 × 52 = 6.075
3 × 52 × 83 = 6.225
34 × 7 × 11 = 6.237
22 × 32 × 52 × 7 = 6.300
7 × 11 × 83 = 6.391
34 × 83 = 6.723
22 × 35 × 7 = 6.804
2 × 32 × 5 × 7 × 11 = 6.930
22 × 3 × 7 × 83 = 6.972
2 × 36 × 5 = 7.290
33 × 52 × 11 = 7.425
2 × 32 × 5 × 83 = 7.470
22 × 52 × 7 × 11 = 7.700
36 × 11 = 8.019
22 × 34 × 52 = 8.100
32 × 11 × 83 = 8.217
22 × 52 × 83 = 8.300
22 × 33 × 7 × 11 = 8.316
35 × 5 × 7 = 8.505
3 × 5 × 7 × 83 = 8.715
2 × 34 × 5 × 11 = 8.910
22 × 33 × 83 = 8.964
2 × 5 × 11 × 83 = 9.130
2 × 33 × 52 × 7 = 9.450
22 × 32 × 52 × 11 = 9.900
2 × 36 × 7 = 10.206
33 × 5 × 7 × 11 = 10.395
2 × 32 × 7 × 83 = 10.458
22 × 35 × 11 = 10.692
22 × 3 × 11 × 83 = 10.956
33 × 5 × 83 = 11.205
22 × 34 × 5 × 7 = 11.340
2 × 3 × 52 × 7 × 11 = 11.550
22 × 5 × 7 × 83 = 11.620
2 × 35 × 52 = 12.150
2 × 3 × 52 × 83 = 12.450
2 × 34 × 7 × 11 = 12.474
2 × 7 × 11 × 83 = 12.782
35 × 5 × 11 = 13.365
2 × 34 × 83 = 13.446
3 × 5 × 11 × 83 = 13.695
22 × 32 × 5 × 7 × 11 = 13.860
34 × 52 × 7 = 14.175
52 × 7 × 83 = 14.525
22 × 36 × 5 = 14.580
2 × 33 × 52 × 11 = 14.850
22 × 32 × 5 × 83 = 14.940
33 × 7 × 83 = 15.687
2 × 36 × 11 = 16.038
2 × 32 × 11 × 83 = 16.434
2 × 35 × 5 × 7 = 17.010
32 × 52 × 7 × 11 = 17.325
2 × 3 × 5 × 7 × 83 = 17.430
22 × 34 × 5 × 11 = 17.820
36 × 52 = 18.225
22 × 5 × 11 × 83 = 18.260
32 × 52 × 83 = 18.675
35 × 7 × 11 = 18.711
22 × 33 × 52 × 7 = 18.900
3 × 7 × 11 × 83 = 19.173
35 × 83 = 20.169
22 × 36 × 7 = 20.412
2 × 33 × 5 × 7 × 11 = 20.790
22 × 32 × 7 × 83 = 20.916
34 × 52 × 11 = 22.275
2 × 33 × 5 × 83 = 22.410
52 × 11 × 83 = 22.825
22 × 3 × 52 × 7 × 11 = 23.100
22 × 35 × 52 = 24.300
33 × 11 × 83 = 24.651
22 × 3 × 52 × 83 = 24.900
22 × 34 × 7 × 11 = 24.948
36 × 5 × 7 = 25.515
22 × 7 × 11 × 83 = 25.564
32 × 5 × 7 × 83 = 26.145
2 × 35 × 5 × 11 = 26.730
22 × 34 × 83 = 26.892
2 × 3 × 5 × 11 × 83 = 27.390
2 × 34 × 52 × 7 = 28.350
2 × 52 × 7 × 83 = 29.050
22 × 33 × 52 × 11 = 29.700
34 × 5 × 7 × 11 = 31.185
2 × 33 × 7 × 83 = 31.374
5 × 7 × 11 × 83 = 31.955
22 × 36 × 11 = 32.076
22 × 32 × 11 × 83 = 32.868
34 × 5 × 83 = 33.615
22 × 35 × 5 × 7 = 34.020
2 × 32 × 52 × 7 × 11 = 34.650
22 × 3 × 5 × 7 × 83 = 34.860
2 × 36 × 52 = 36.450
2 × 32 × 52 × 83 = 37.350
2 × 35 × 7 × 11 = 37.422
2 × 3 × 7 × 11 × 83 = 38.346
36 × 5 × 11 = 40.095
2 × 35 × 83 = 40.338
32 × 5 × 11 × 83 = 41.085
22 × 33 × 5 × 7 × 11 = 41.580
35 × 52 × 7 = 42.525
3 × 52 × 7 × 83 = 43.575
2 × 34 × 52 × 11 = 44.550
22 × 33 × 5 × 83 = 44.820
2 × 52 × 11 × 83 = 45.650
34 × 7 × 83 = 47.061
2 × 33 × 11 × 83 = 49.302
2 × 36 × 5 × 7 = 51.030
33 × 52 × 7 × 11 = 51.975
2 × 32 × 5 × 7 × 83 = 52.290
22 × 35 × 5 × 11 = 53.460
22 × 3 × 5 × 11 × 83 = 54.780
33 × 52 × 83 = 56.025
36 × 7 × 11 = 56.133
22 × 34 × 52 × 7 = 56.700
32 × 7 × 11 × 83 = 57.519
22 × 52 × 7 × 83 = 58.100
36 × 83 = 60.507
2 × 34 × 5 × 7 × 11 = 62.370
22 × 33 × 7 × 83 = 62.748
2 × 5 × 7 × 11 × 83 = 63.910
35 × 52 × 11 = 66.825
2 × 34 × 5 × 83 = 67.230
3 × 52 × 11 × 83 = 68.475
22 × 32 × 52 × 7 × 11 = 69.300
22 × 36 × 52 = 72.900
34 × 11 × 83 = 73.953
22 × 32 × 52 × 83 = 74.700
22 × 35 × 7 × 11 = 74.844
22 × 3 × 7 × 11 × 83 = 76.692
33 × 5 × 7 × 83 = 78.435
2 × 36 × 5 × 11 = 80.190
22 × 35 × 83 = 80.676
2 × 32 × 5 × 11 × 83 = 82.170
2 × 35 × 52 × 7 = 85.050
2 × 3 × 52 × 7 × 83 = 87.150
22 × 34 × 52 × 11 = 89.100
22 × 52 × 11 × 83 = 91.300
35 × 5 × 7 × 11 = 93.555
2 × 34 × 7 × 83 = 94.122
3 × 5 × 7 × 11 × 83 = 95.865
22 × 33 × 11 × 83 = 98.604
35 × 5 × 83 = 100.845
22 × 36 × 5 × 7 = 102.060
2 × 33 × 52 × 7 × 11 = 103.950
22 × 32 × 5 × 7 × 83 = 104.580
2 × 33 × 52 × 83 = 112.050
2 × 36 × 7 × 11 = 112.266
2 × 32 × 7 × 11 × 83 = 115.038
2 × 36 × 83 = 121.014
33 × 5 × 11 × 83 = 123.255
22 × 34 × 5 × 7 × 11 = 124.740
36 × 52 × 7 = 127.575
22 × 5 × 7 × 11 × 83 = 127.820
32 × 52 × 7 × 83 = 130.725
2 × 35 × 52 × 11 = 133.650
22 × 34 × 5 × 83 = 134.460
2 × 3 × 52 × 11 × 83 = 136.950
35 × 7 × 83 = 141.183
2 × 34 × 11 × 83 = 147.906
34 × 52 × 7 × 11 = 155.925
2 × 33 × 5 × 7 × 83 = 156.870
52 × 7 × 11 × 83 = 159.775
22 × 36 × 5 × 11 = 160.380
22 × 32 × 5 × 11 × 83 = 164.340
34 × 52 × 83 = 168.075
22 × 35 × 52 × 7 = 170.100
33 × 7 × 11 × 83 = 172.557
22 × 3 × 52 × 7 × 83 = 174.300
2 × 35 × 5 × 7 × 11 = 187.110
22 × 34 × 7 × 83 = 188.244
2 × 3 × 5 × 7 × 11 × 83 = 191.730
36 × 52 × 11 = 200.475
2 × 35 × 5 × 83 = 201.690
32 × 52 × 11 × 83 = 205.425
22 × 33 × 52 × 7 × 11 = 207.900
35 × 11 × 83 = 221.859
22 × 33 × 52 × 83 = 224.100
22 × 36 × 7 × 11 = 224.532
22 × 32 × 7 × 11 × 83 = 230.076
34 × 5 × 7 × 83 = 235.305
22 × 36 × 83 = 242.028
2 × 33 × 5 × 11 × 83 = 246.510
2 × 36 × 52 × 7 = 255.150
2 × 32 × 52 × 7 × 83 = 261.450
22 × 35 × 52 × 11 = 267.300
22 × 3 × 52 × 11 × 83 = 273.900
36 × 5 × 7 × 11 = 280.665
2 × 35 × 7 × 83 = 282.366
32 × 5 × 7 × 11 × 83 = 287.595
22 × 34 × 11 × 83 = 295.812
36 × 5 × 83 = 302.535
2 × 34 × 52 × 7 × 11 = 311.850
22 × 33 × 5 × 7 × 83 = 313.740
2 × 52 × 7 × 11 × 83 = 319.550
2 × 34 × 52 × 83 = 336.150
2 × 33 × 7 × 11 × 83 = 345.114
34 × 5 × 11 × 83 = 369.765
22 × 35 × 5 × 7 × 11 = 374.220
22 × 3 × 5 × 7 × 11 × 83 = 383.460
33 × 52 × 7 × 83 = 392.175
2 × 36 × 52 × 11 = 400.950
22 × 35 × 5 × 83 = 403.380
2 × 32 × 52 × 11 × 83 = 410.850
36 × 7 × 83 = 423.549
2 × 35 × 11 × 83 = 443.718
35 × 52 × 7 × 11 = 467.775
2 × 34 × 5 × 7 × 83 = 470.610
3 × 52 × 7 × 11 × 83 = 479.325
22 × 33 × 5 × 11 × 83 = 493.020
35 × 52 × 83 = 504.225
22 × 36 × 52 × 7 = 510.300
34 × 7 × 11 × 83 = 517.671
22 × 32 × 52 × 7 × 83 = 522.900
2 × 36 × 5 × 7 × 11 = 561.330
22 × 35 × 7 × 83 = 564.732
2 × 32 × 5 × 7 × 11 × 83 = 575.190
2 × 36 × 5 × 83 = 605.070
33 × 52 × 11 × 83 = 616.275
22 × 34 × 52 × 7 × 11 = 623.700
22 × 52 × 7 × 11 × 83 = 639.100
36 × 11 × 83 = 665.577
22 × 34 × 52 × 83 = 672.300
22 × 33 × 7 × 11 × 83 = 690.228
35 × 5 × 7 × 83 = 705.915
2 × 34 × 5 × 11 × 83 = 739.530
2 × 33 × 52 × 7 × 83 = 784.350
22 × 36 × 52 × 11 = 801.900
22 × 32 × 52 × 11 × 83 = 821.700
2 × 36 × 7 × 83 = 847.098
33 × 5 × 7 × 11 × 83 = 862.785
22 × 35 × 11 × 83 = 887.436
2 × 35 × 52 × 7 × 11 = 935.550
22 × 34 × 5 × 7 × 83 = 941.220
2 × 3 × 52 × 7 × 11 × 83 = 958.650
2 × 35 × 52 × 83 = 1.008.450
2 × 34 × 7 × 11 × 83 = 1.035.342
35 × 5 × 11 × 83 = 1.109.295
22 × 36 × 5 × 7 × 11 = 1.122.660
22 × 32 × 5 × 7 × 11 × 83 = 1.150.380
34 × 52 × 7 × 83 = 1.176.525
22 × 36 × 5 × 83 = 1.210.140
2 × 33 × 52 × 11 × 83 = 1.232.550
2 × 36 × 11 × 83 = 1.331.154
36 × 52 × 7 × 11 = 1.403.325
2 × 35 × 5 × 7 × 83 = 1.411.830
32 × 52 × 7 × 11 × 83 = 1.437.975
22 × 34 × 5 × 11 × 83 = 1.479.060
36 × 52 × 83 = 1.512.675
35 × 7 × 11 × 83 = 1.553.013
22 × 33 × 52 × 7 × 83 = 1.568.700
22 × 36 × 7 × 83 = 1.694.196
2 × 33 × 5 × 7 × 11 × 83 = 1.725.570
34 × 52 × 11 × 83 = 1.848.825
22 × 35 × 52 × 7 × 11 = 1.871.100
22 × 3 × 52 × 7 × 11 × 83 = 1.917.300
22 × 35 × 52 × 83 = 2.016.900
22 × 34 × 7 × 11 × 83 = 2.070.684
36 × 5 × 7 × 83 = 2.117.745
2 × 35 × 5 × 11 × 83 = 2.218.590
2 × 34 × 52 × 7 × 83 = 2.353.050
22 × 33 × 52 × 11 × 83 = 2.465.100
34 × 5 × 7 × 11 × 83 = 2.588.355
22 × 36 × 11 × 83 = 2.662.308
2 × 36 × 52 × 7 × 11 = 2.806.650
22 × 35 × 5 × 7 × 83 = 2.823.660
2 × 32 × 52 × 7 × 11 × 83 = 2.875.950
2 × 36 × 52 × 83 = 3.025.350
2 × 35 × 7 × 11 × 83 = 3.106.026
36 × 5 × 11 × 83 = 3.327.885
22 × 33 × 5 × 7 × 11 × 83 = 3.451.140
35 × 52 × 7 × 83 = 3.529.575
2 × 34 × 52 × 11 × 83 = 3.697.650
2 × 36 × 5 × 7 × 83 = 4.235.490
33 × 52 × 7 × 11 × 83 = 4.313.925
22 × 35 × 5 × 11 × 83 = 4.437.180
36 × 7 × 11 × 83 = 4.659.039
22 × 34 × 52 × 7 × 83 = 4.706.100
2 × 34 × 5 × 7 × 11 × 83 = 5.176.710
35 × 52 × 11 × 83 = 5.546.475
22 × 36 × 52 × 7 × 11 = 5.613.300
22 × 32 × 52 × 7 × 11 × 83 = 5.751.900
22 × 36 × 52 × 83 = 6.050.700
22 × 35 × 7 × 11 × 83 = 6.212.052
2 × 36 × 5 × 11 × 83 = 6.655.770
2 × 35 × 52 × 7 × 83 = 7.059.150
22 × 34 × 52 × 11 × 83 = 7.395.300
35 × 5 × 7 × 11 × 83 = 7.765.065
22 × 36 × 5 × 7 × 83 = 8.470.980
2 × 33 × 52 × 7 × 11 × 83 = 8.627.850
2 × 36 × 7 × 11 × 83 = 9.318.078
22 × 34 × 5 × 7 × 11 × 83 = 10.353.420
36 × 52 × 7 × 83 = 10.588.725
2 × 35 × 52 × 11 × 83 = 11.092.950
34 × 52 × 7 × 11 × 83 = 12.941.775
22 × 36 × 5 × 11 × 83 = 13.311.540
22 × 35 × 52 × 7 × 83 = 14.118.300
2 × 35 × 5 × 7 × 11 × 83 = 15.530.130
36 × 52 × 11 × 83 = 16.639.425
22 × 33 × 52 × 7 × 11 × 83 = 17.255.700
22 × 36 × 7 × 11 × 83 = 18.636.156
2 × 36 × 52 × 7 × 83 = 21.177.450
22 × 35 × 52 × 11 × 83 = 22.185.900
36 × 5 × 7 × 11 × 83 = 23.295.195
2 × 34 × 52 × 7 × 11 × 83 = 25.883.550
22 × 35 × 5 × 7 × 11 × 83 = 31.060.260
2 × 36 × 52 × 11 × 83 = 33.278.850
35 × 52 × 7 × 11 × 83 = 38.825.325
22 × 36 × 52 × 7 × 83 = 42.354.900
2 × 36 × 5 × 7 × 11 × 83 = 46.590.390
22 × 34 × 52 × 7 × 11 × 83 = 51.767.100
22 × 36 × 52 × 11 × 83 = 66.557.700
2 × 35 × 52 × 7 × 11 × 83 = 77.650.650
22 × 36 × 5 × 7 × 11 × 83 = 93.180.780
36 × 52 × 7 × 11 × 83 = 116.475.975
22 × 35 × 52 × 7 × 11 × 83 = 155.301.300
2 × 36 × 52 × 7 × 11 × 83 = 232.951.950
22 × 36 × 52 × 7 × 11 × 83 = 465.903.900

Respuesta final:

465.903.900 tiene 504 divisores:
1; 2; 3; 4; 5; 6; 7; 9; 10; 11; 12; 14; 15; 18; 20; 21; 22; 25; 27; 28; 30; 33; 35; 36; 42; 44; 45; 50; 54; 55; 60; 63; 66; 70; 75; 77; 81; 83; 84; 90; 99; 100; 105; 108; 110; 126; 132; 135; 140; 150; 154; 162; 165; 166; 175; 180; 189; 198; 210; 220; 225; 231; 243; 249; 252; 270; 275; 297; 300; 308; 315; 324; 330; 332; 350; 378; 385; 396; 405; 415; 420; 450; 462; 486; 495; 498; 525; 540; 550; 567; 581; 594; 630; 660; 675; 693; 700; 729; 747; 756; 770; 810; 825; 830; 891; 900; 913; 924; 945; 972; 990; 996; 1.050; 1.100; 1.134; 1.155; 1.162; 1.188; 1.215; 1.245; 1.260; 1.350; 1.386; 1.458; 1.485; 1.494; 1.540; 1.575; 1.620; 1.650; 1.660; 1.701; 1.743; 1.782; 1.826; 1.890; 1.925; 1.980; 2.025; 2.075; 2.079; 2.100; 2.241; 2.268; 2.310; 2.324; 2.430; 2.475; 2.490; 2.673; 2.700; 2.739; 2.772; 2.835; 2.905; 2.916; 2.970; 2.988; 3.150; 3.300; 3.402; 3.465; 3.486; 3.564; 3.645; 3.652; 3.735; 3.780; 3.850; 4.050; 4.150; 4.158; 4.455; 4.482; 4.565; 4.620; 4.725; 4.860; 4.950; 4.980; 5.103; 5.229; 5.346; 5.478; 5.670; 5.775; 5.810; 5.940; 6.075; 6.225; 6.237; 6.300; 6.391; 6.723; 6.804; 6.930; 6.972; 7.290; 7.425; 7.470; 7.700; 8.019; 8.100; 8.217; 8.300; 8.316; 8.505; 8.715; 8.910; 8.964; 9.130; 9.450; 9.900; 10.206; 10.395; 10.458; 10.692; 10.956; 11.205; 11.340; 11.550; 11.620; 12.150; 12.450; 12.474; 12.782; 13.365; 13.446; 13.695; 13.860; 14.175; 14.525; 14.580; 14.850; 14.940; 15.687; 16.038; 16.434; 17.010; 17.325; 17.430; 17.820; 18.225; 18.260; 18.675; 18.711; 18.900; 19.173; 20.169; 20.412; 20.790; 20.916; 22.275; 22.410; 22.825; 23.100; 24.300; 24.651; 24.900; 24.948; 25.515; 25.564; 26.145; 26.730; 26.892; 27.390; 28.350; 29.050; 29.700; 31.185; 31.374; 31.955; 32.076; 32.868; 33.615; 34.020; 34.650; 34.860; 36.450; 37.350; 37.422; 38.346; 40.095; 40.338; 41.085; 41.580; 42.525; 43.575; 44.550; 44.820; 45.650; 47.061; 49.302; 51.030; 51.975; 52.290; 53.460; 54.780; 56.025; 56.133; 56.700; 57.519; 58.100; 60.507; 62.370; 62.748; 63.910; 66.825; 67.230; 68.475; 69.300; 72.900; 73.953; 74.700; 74.844; 76.692; 78.435; 80.190; 80.676; 82.170; 85.050; 87.150; 89.100; 91.300; 93.555; 94.122; 95.865; 98.604; 100.845; 102.060; 103.950; 104.580; 112.050; 112.266; 115.038; 121.014; 123.255; 124.740; 127.575; 127.820; 130.725; 133.650; 134.460; 136.950; 141.183; 147.906; 155.925; 156.870; 159.775; 160.380; 164.340; 168.075; 170.100; 172.557; 174.300; 187.110; 188.244; 191.730; 200.475; 201.690; 205.425; 207.900; 221.859; 224.100; 224.532; 230.076; 235.305; 242.028; 246.510; 255.150; 261.450; 267.300; 273.900; 280.665; 282.366; 287.595; 295.812; 302.535; 311.850; 313.740; 319.550; 336.150; 345.114; 369.765; 374.220; 383.460; 392.175; 400.950; 403.380; 410.850; 423.549; 443.718; 467.775; 470.610; 479.325; 493.020; 504.225; 510.300; 517.671; 522.900; 561.330; 564.732; 575.190; 605.070; 616.275; 623.700; 639.100; 665.577; 672.300; 690.228; 705.915; 739.530; 784.350; 801.900; 821.700; 847.098; 862.785; 887.436; 935.550; 941.220; 958.650; 1.008.450; 1.035.342; 1.109.295; 1.122.660; 1.150.380; 1.176.525; 1.210.140; 1.232.550; 1.331.154; 1.403.325; 1.411.830; 1.437.975; 1.479.060; 1.512.675; 1.553.013; 1.568.700; 1.694.196; 1.725.570; 1.848.825; 1.871.100; 1.917.300; 2.016.900; 2.070.684; 2.117.745; 2.218.590; 2.353.050; 2.465.100; 2.588.355; 2.662.308; 2.806.650; 2.823.660; 2.875.950; 3.025.350; 3.106.026; 3.327.885; 3.451.140; 3.529.575; 3.697.650; 4.235.490; 4.313.925; 4.437.180; 4.659.039; 4.706.100; 5.176.710; 5.546.475; 5.613.300; 5.751.900; 6.050.700; 6.212.052; 6.655.770; 7.059.150; 7.395.300; 7.765.065; 8.470.980; 8.627.850; 9.318.078; 10.353.420; 10.588.725; 11.092.950; 12.941.775; 13.311.540; 14.118.300; 15.530.130; 16.639.425; 17.255.700; 18.636.156; 21.177.450; 22.185.900; 23.295.195; 25.883.550; 31.060.260; 33.278.850; 38.825.325; 42.354.900; 46.590.390; 51.767.100; 66.557.700; 77.650.650; 93.180.780; 116.475.975; 155.301.300; 232.951.950 y 465.903.900
de los cuales 6 factores primos: 2; 3; 5; 7; 11 y 83
465.903.900 y 1 son denominados divisores impropios, los otros son divisores propios.

La clave para encontrar los divisores de un número es descomponerlo en sus factores primos.


Luego construya todas las diferentes combinaciones (multiplicaciones) de los factores primos y sus exponentes, si los hay.



Más operaciones de este tipo:


Calculadora: todos los factores (divisores) de números

Últimos divisores calculados

divisores (465.903.900) = ? 18 enero, 19:16 UTC (GMT)
divisores (530.986) = ? 18 enero, 19:16 UTC (GMT)
divisores (881.481) = ? 18 enero, 19:16 UTC (GMT)
divisores (117.637.711) = ? 18 enero, 19:16 UTC (GMT)
divisores (27.577.439) = ? 18 enero, 19:16 UTC (GMT)
divisores (44.128.800) = ? 18 enero, 19:16 UTC (GMT)
divisores (117.637.711) = ? 18 enero, 19:16 UTC (GMT)
divisores (1.647.001) = ? 18 enero, 19:16 UTC (GMT)
divisores (33.852.672) = ? 18 enero, 19:16 UTC (GMT)
divisores comunes (1.010.338.560; 1.796.157.440) = ? 18 enero, 19:16 UTC (GMT)
divisores (643.584) = ? 18 enero, 19:16 UTC (GMT)
divisores (117.637.712) = ? 18 enero, 19:16 UTC (GMT)
divisores (28.437.499) = ? 18 enero, 19:16 UTC (GMT)
divisores comunes, ver más...

Teoría: divisores, divisores comunes, el máximo común divisor MCD

Si "t" es el divisor de "a", entonces al descomponer en factores a "t" aparecen solo números primos que también aparecen cuando se descompone "a" y que pueden tener los exponentes iguales como máximo con los que intervienen en la descomposición de "a".

Por ejemplo, 12 es el divisor de 60:
12 = 2 × 2 × 3 = 22 × 3
60 = 2 × 2 × 3 × 5 = 22 × 3 × 5

Si "t" es el divisor común de "a" y "b", entonces "t" tiene solo factores primos que intervienen también en "a" y en "b", cada factor a la potencia más baja.

Por ejemplo, 12 es el divisor común de 48 y 360. De la descomposición en factores primos:
12 = 22 × 3
48 = 24 × 3
360 = 23 × 32 × 5
Se nota que 48 y 360 tienes más divisores comunes: 2, 3, 4, 6, 8, 12, 24. Entre ellos, 24 es el máximo común divisor (mcd) de 48 y 360.

Si dos numeros, "a" y "b", no tienen otro divisor común que 1, mcd (a, b) = 1, los números "a" y "b" se llaman primos entre ellos.

Si "a" y "b" no son primos entre ellos, entonces cada divisor común de "a" y "b" es el divisor del máximo común divisor de "a" y "b", porque el máximo común divisor es el producto de todos los factores primos que intervienen en "a" y en "b", en la más baja potencia. En este procedimiento se basa la investigación del máximo común divisor de muchos números, en conformidad con el ejemplo que sigue.
Ejemplo de determinación de mcd:
1260 = 22 × 32
3024 = 24 × 32 × 7
5544 = 23 × 32 × 7 × 11
mcd(1260, 3024, 5544) = 22 × 32 = 252


¿Qué es un número primo?

¿Qué es un número compuesto?

Números primos hasta 1.000

Números primos hasta 10.000

Criba de Eratóstenes

Algoritmo de Euclides

Simplificar (reducir) fracciones matemáticas a sus equivalentes irreducibles: pasos a seguir y ejemplos