49.795.200: Toți divizorii proprii, improprii și factorii primi ai numărului întreg

Descompunerea numărului în factori primi:

49.795.200 = 27 × 32 × 52 × 7 × 13 × 19;

Cum se descompune un număr în factori primi

Toți divizorii proprii, improprii și factorii primi ai numărului întreg 49.795.200?

Ia fiecare din factorii primi ai numărului (și puterile lor, dacă sunt), precum și toate combinațiile lor.
Adaugă și 1 la lista de divizori. Orice număr e divizibil cu 1.

49.795.200 are 576 divizori, din care 6 factori primi, 2; 3; 5; 7; 13 și 19:

nici prim, nici compus = 1
factor prim = 2
factor prim = 3
22 = 4
factor prim = 5
2 × 3 = 6
factor prim = 7
23 = 8
32 = 9
2 × 5 = 10
22 × 3 = 12
factor prim = 13
2 × 7 = 14
3 × 5 = 15
24 = 16
2 × 32 = 18
factor prim = 19
22 × 5 = 20
3 × 7 = 21
23 × 3 = 24
52 = 25
2 × 13 = 26
22 × 7 = 28
2 × 3 × 5 = 30
25 = 32
5 × 7 = 35
22 × 32 = 36
2 × 19 = 38
3 × 13 = 39
23 × 5 = 40
2 × 3 × 7 = 42
32 × 5 = 45
24 × 3 = 48
2 × 52 = 50
22 × 13 = 52
23 × 7 = 56
3 × 19 = 57
22 × 3 × 5 = 60
32 × 7 = 63
26 = 64
5 × 13 = 65
2 × 5 × 7 = 70
23 × 32 = 72
3 × 52 = 75
22 × 19 = 76
2 × 3 × 13 = 78
24 × 5 = 80
22 × 3 × 7 = 84
2 × 32 × 5 = 90
7 × 13 = 91
5 × 19 = 95
25 × 3 = 96
22 × 52 = 100
23 × 13 = 104
3 × 5 × 7 = 105
24 × 7 = 112
2 × 3 × 19 = 114
32 × 13 = 117
23 × 3 × 5 = 120
2 × 32 × 7 = 126
27 = 128
2 × 5 × 13 = 130
7 × 19 = 133
22 × 5 × 7 = 140
24 × 32 = 144
2 × 3 × 52 = 150
23 × 19 = 152
22 × 3 × 13 = 156
25 × 5 = 160
23 × 3 × 7 = 168
32 × 19 = 171
52 × 7 = 175
22 × 32 × 5 = 180
2 × 7 × 13 = 182
2 × 5 × 19 = 190
26 × 3 = 192
3 × 5 × 13 = 195
23 × 52 = 200
24 × 13 = 208
2 × 3 × 5 × 7 = 210
25 × 7 = 224
32 × 52 = 225
22 × 3 × 19 = 228
2 × 32 × 13 = 234
24 × 3 × 5 = 240
13 × 19 = 247
22 × 32 × 7 = 252
22 × 5 × 13 = 260
2 × 7 × 19 = 266
3 × 7 × 13 = 273
23 × 5 × 7 = 280
3 × 5 × 19 = 285
25 × 32 = 288
22 × 3 × 52 = 300
24 × 19 = 304
23 × 3 × 13 = 312
32 × 5 × 7 = 315
26 × 5 = 320
52 × 13 = 325
24 × 3 × 7 = 336
2 × 32 × 19 = 342
2 × 52 × 7 = 350
23 × 32 × 5 = 360
22 × 7 × 13 = 364
22 × 5 × 19 = 380
27 × 3 = 384
2 × 3 × 5 × 13 = 390
3 × 7 × 19 = 399
24 × 52 = 400
25 × 13 = 416
22 × 3 × 5 × 7 = 420
26 × 7 = 448
2 × 32 × 52 = 450
5 × 7 × 13 = 455
23 × 3 × 19 = 456
22 × 32 × 13 = 468
52 × 19 = 475
25 × 3 × 5 = 480
2 × 13 × 19 = 494
23 × 32 × 7 = 504
23 × 5 × 13 = 520
3 × 52 × 7 = 525
22 × 7 × 19 = 532
2 × 3 × 7 × 13 = 546
24 × 5 × 7 = 560
2 × 3 × 5 × 19 = 570
26 × 32 = 576
32 × 5 × 13 = 585
23 × 3 × 52 = 600
25 × 19 = 608
24 × 3 × 13 = 624
2 × 32 × 5 × 7 = 630
27 × 5 = 640
2 × 52 × 13 = 650
5 × 7 × 19 = 665
25 × 3 × 7 = 672
22 × 32 × 19 = 684
22 × 52 × 7 = 700
24 × 32 × 5 = 720
23 × 7 × 13 = 728
3 × 13 × 19 = 741
23 × 5 × 19 = 760
22 × 3 × 5 × 13 = 780
2 × 3 × 7 × 19 = 798
25 × 52 = 800
32 × 7 × 13 = 819
26 × 13 = 832
23 × 3 × 5 × 7 = 840
32 × 5 × 19 = 855
27 × 7 = 896
22 × 32 × 52 = 900
2 × 5 × 7 × 13 = 910
24 × 3 × 19 = 912
23 × 32 × 13 = 936
2 × 52 × 19 = 950
26 × 3 × 5 = 960
3 × 52 × 13 = 975
22 × 13 × 19 = 988
24 × 32 × 7 = 1.008
24 × 5 × 13 = 1.040
2 × 3 × 52 × 7 = 1.050
23 × 7 × 19 = 1.064
22 × 3 × 7 × 13 = 1.092
25 × 5 × 7 = 1.120
22 × 3 × 5 × 19 = 1.140
27 × 32 = 1.152
2 × 32 × 5 × 13 = 1.170
32 × 7 × 19 = 1.197
24 × 3 × 52 = 1.200
26 × 19 = 1.216
5 × 13 × 19 = 1.235
25 × 3 × 13 = 1.248
22 × 32 × 5 × 7 = 1.260
22 × 52 × 13 = 1.300
2 × 5 × 7 × 19 = 1.330
26 × 3 × 7 = 1.344
3 × 5 × 7 × 13 = 1.365
23 × 32 × 19 = 1.368
23 × 52 × 7 = 1.400
3 × 52 × 19 = 1.425
25 × 32 × 5 = 1.440
24 × 7 × 13 = 1.456
2 × 3 × 13 × 19 = 1.482
24 × 5 × 19 = 1.520
23 × 3 × 5 × 13 = 1.560
32 × 52 × 7 = 1.575
22 × 3 × 7 × 19 = 1.596
26 × 52 = 1.600
2 × 32 × 7 × 13 = 1.638
27 × 13 = 1.664
24 × 3 × 5 × 7 = 1.680
2 × 32 × 5 × 19 = 1.710
7 × 13 × 19 = 1.729
23 × 32 × 52 = 1.800
22 × 5 × 7 × 13 = 1.820
25 × 3 × 19 = 1.824
24 × 32 × 13 = 1.872
22 × 52 × 19 = 1.900
27 × 3 × 5 = 1.920
2 × 3 × 52 × 13 = 1.950
23 × 13 × 19 = 1.976
3 × 5 × 7 × 19 = 1.995
25 × 32 × 7 = 2.016
25 × 5 × 13 = 2.080
22 × 3 × 52 × 7 = 2.100
24 × 7 × 19 = 2.128
23 × 3 × 7 × 13 = 2.184
32 × 13 × 19 = 2.223
26 × 5 × 7 = 2.240
52 × 7 × 13 = 2.275
23 × 3 × 5 × 19 = 2.280
22 × 32 × 5 × 13 = 2.340
2 × 32 × 7 × 19 = 2.394
25 × 3 × 52 = 2.400
27 × 19 = 2.432
2 × 5 × 13 × 19 = 2.470
26 × 3 × 13 = 2.496
23 × 32 × 5 × 7 = 2.520
23 × 52 × 13 = 2.600
22 × 5 × 7 × 19 = 2.660
27 × 3 × 7 = 2.688
2 × 3 × 5 × 7 × 13 = 2.730
24 × 32 × 19 = 2.736
24 × 52 × 7 = 2.800
2 × 3 × 52 × 19 = 2.850
26 × 32 × 5 = 2.880
25 × 7 × 13 = 2.912
32 × 52 × 13 = 2.925
22 × 3 × 13 × 19 = 2.964
25 × 5 × 19 = 3.040
24 × 3 × 5 × 13 = 3.120
2 × 32 × 52 × 7 = 3.150
23 × 3 × 7 × 19 = 3.192
27 × 52 = 3.200
22 × 32 × 7 × 13 = 3.276
52 × 7 × 19 = 3.325
25 × 3 × 5 × 7 = 3.360
22 × 32 × 5 × 19 = 3.420
2 × 7 × 13 × 19 = 3.458
24 × 32 × 52 = 3.600
23 × 5 × 7 × 13 = 3.640
26 × 3 × 19 = 3.648
3 × 5 × 13 × 19 = 3.705
25 × 32 × 13 = 3.744
23 × 52 × 19 = 3.800
22 × 3 × 52 × 13 = 3.900
24 × 13 × 19 = 3.952
2 × 3 × 5 × 7 × 19 = 3.990
26 × 32 × 7 = 4.032
32 × 5 × 7 × 13 = 4.095
26 × 5 × 13 = 4.160
23 × 3 × 52 × 7 = 4.200
25 × 7 × 19 = 4.256
32 × 52 × 19 = 4.275
24 × 3 × 7 × 13 = 4.368
2 × 32 × 13 × 19 = 4.446
27 × 5 × 7 = 4.480
2 × 52 × 7 × 13 = 4.550
24 × 3 × 5 × 19 = 4.560
23 × 32 × 5 × 13 = 4.680
22 × 32 × 7 × 19 = 4.788
26 × 3 × 52 = 4.800
22 × 5 × 13 × 19 = 4.940
27 × 3 × 13 = 4.992
24 × 32 × 5 × 7 = 5.040
3 × 7 × 13 × 19 = 5.187
24 × 52 × 13 = 5.200
23 × 5 × 7 × 19 = 5.320
22 × 3 × 5 × 7 × 13 = 5.460
25 × 32 × 19 = 5.472
25 × 52 × 7 = 5.600
22 × 3 × 52 × 19 = 5.700
27 × 32 × 5 = 5.760
26 × 7 × 13 = 5.824
2 × 32 × 52 × 13 = 5.850
23 × 3 × 13 × 19 = 5.928
32 × 5 × 7 × 19 = 5.985
26 × 5 × 19 = 6.080
52 × 13 × 19 = 6.175
25 × 3 × 5 × 13 = 6.240
22 × 32 × 52 × 7 = 6.300
24 × 3 × 7 × 19 = 6.384
23 × 32 × 7 × 13 = 6.552
2 × 52 × 7 × 19 = 6.650
26 × 3 × 5 × 7 = 6.720
3 × 52 × 7 × 13 = 6.825
23 × 32 × 5 × 19 = 6.840
22 × 7 × 13 × 19 = 6.916
25 × 32 × 52 = 7.200
24 × 5 × 7 × 13 = 7.280
27 × 3 × 19 = 7.296
2 × 3 × 5 × 13 × 19 = 7.410
26 × 32 × 13 = 7.488
24 × 52 × 19 = 7.600
23 × 3 × 52 × 13 = 7.800
25 × 13 × 19 = 7.904
22 × 3 × 5 × 7 × 19 = 7.980
27 × 32 × 7 = 8.064
2 × 32 × 5 × 7 × 13 = 8.190
27 × 5 × 13 = 8.320
24 × 3 × 52 × 7 = 8.400
26 × 7 × 19 = 8.512
2 × 32 × 52 × 19 = 8.550
5 × 7 × 13 × 19 = 8.645
25 × 3 × 7 × 13 = 8.736
22 × 32 × 13 × 19 = 8.892
22 × 52 × 7 × 13 = 9.100
25 × 3 × 5 × 19 = 9.120
24 × 32 × 5 × 13 = 9.360
23 × 32 × 7 × 19 = 9.576
27 × 3 × 52 = 9.600
23 × 5 × 13 × 19 = 9.880
3 × 52 × 7 × 19 = 9.975
25 × 32 × 5 × 7 = 10.080
2 × 3 × 7 × 13 × 19 = 10.374
25 × 52 × 13 = 10.400
24 × 5 × 7 × 19 = 10.640
23 × 3 × 5 × 7 × 13 = 10.920
26 × 32 × 19 = 10.944
32 × 5 × 13 × 19 = 11.115
26 × 52 × 7 = 11.200
23 × 3 × 52 × 19 = 11.400
27 × 7 × 13 = 11.648
22 × 32 × 52 × 13 = 11.700
24 × 3 × 13 × 19 = 11.856
2 × 32 × 5 × 7 × 19 = 11.970
27 × 5 × 19 = 12.160
2 × 52 × 13 × 19 = 12.350
26 × 3 × 5 × 13 = 12.480
23 × 32 × 52 × 7 = 12.600
25 × 3 × 7 × 19 = 12.768
24 × 32 × 7 × 13 = 13.104
22 × 52 × 7 × 19 = 13.300
27 × 3 × 5 × 7 = 13.440
2 × 3 × 52 × 7 × 13 = 13.650
24 × 32 × 5 × 19 = 13.680
23 × 7 × 13 × 19 = 13.832
26 × 32 × 52 = 14.400
25 × 5 × 7 × 13 = 14.560
22 × 3 × 5 × 13 × 19 = 14.820
27 × 32 × 13 = 14.976
25 × 52 × 19 = 15.200
32 × 7 × 13 × 19 = 15.561
24 × 3 × 52 × 13 = 15.600
26 × 13 × 19 = 15.808
23 × 3 × 5 × 7 × 19 = 15.960
22 × 32 × 5 × 7 × 13 = 16.380
25 × 3 × 52 × 7 = 16.800
27 × 7 × 19 = 17.024
22 × 32 × 52 × 19 = 17.100
2 × 5 × 7 × 13 × 19 = 17.290
26 × 3 × 7 × 13 = 17.472
23 × 32 × 13 × 19 = 17.784
23 × 52 × 7 × 13 = 18.200
26 × 3 × 5 × 19 = 18.240
3 × 52 × 13 × 19 = 18.525
25 × 32 × 5 × 13 = 18.720
24 × 32 × 7 × 19 = 19.152
24 × 5 × 13 × 19 = 19.760
2 × 3 × 52 × 7 × 19 = 19.950
26 × 32 × 5 × 7 = 20.160
32 × 52 × 7 × 13 = 20.475
22 × 3 × 7 × 13 × 19 = 20.748
26 × 52 × 13 = 20.800
25 × 5 × 7 × 19 = 21.280
24 × 3 × 5 × 7 × 13 = 21.840
27 × 32 × 19 = 21.888
2 × 32 × 5 × 13 × 19 = 22.230
27 × 52 × 7 = 22.400
24 × 3 × 52 × 19 = 22.800
23 × 32 × 52 × 13 = 23.400
25 × 3 × 13 × 19 = 23.712
22 × 32 × 5 × 7 × 19 = 23.940
22 × 52 × 13 × 19 = 24.700
27 × 3 × 5 × 13 = 24.960
24 × 32 × 52 × 7 = 25.200
26 × 3 × 7 × 19 = 25.536
3 × 5 × 7 × 13 × 19 = 25.935
25 × 32 × 7 × 13 = 26.208
23 × 52 × 7 × 19 = 26.600
22 × 3 × 52 × 7 × 13 = 27.300
25 × 32 × 5 × 19 = 27.360
24 × 7 × 13 × 19 = 27.664
27 × 32 × 52 = 28.800
26 × 5 × 7 × 13 = 29.120
23 × 3 × 5 × 13 × 19 = 29.640
32 × 52 × 7 × 19 = 29.925
26 × 52 × 19 = 30.400
2 × 32 × 7 × 13 × 19 = 31.122
25 × 3 × 52 × 13 = 31.200
27 × 13 × 19 = 31.616
24 × 3 × 5 × 7 × 19 = 31.920
23 × 32 × 5 × 7 × 13 = 32.760
26 × 3 × 52 × 7 = 33.600
23 × 32 × 52 × 19 = 34.200
22 × 5 × 7 × 13 × 19 = 34.580
27 × 3 × 7 × 13 = 34.944
24 × 32 × 13 × 19 = 35.568
24 × 52 × 7 × 13 = 36.400
27 × 3 × 5 × 19 = 36.480
2 × 3 × 52 × 13 × 19 = 37.050
26 × 32 × 5 × 13 = 37.440
25 × 32 × 7 × 19 = 38.304
25 × 5 × 13 × 19 = 39.520
22 × 3 × 52 × 7 × 19 = 39.900
27 × 32 × 5 × 7 = 40.320
2 × 32 × 52 × 7 × 13 = 40.950
23 × 3 × 7 × 13 × 19 = 41.496
27 × 52 × 13 = 41.600
26 × 5 × 7 × 19 = 42.560
52 × 7 × 13 × 19 = 43.225
25 × 3 × 5 × 7 × 13 = 43.680
22 × 32 × 5 × 13 × 19 = 44.460
25 × 3 × 52 × 19 = 45.600
24 × 32 × 52 × 13 = 46.800
26 × 3 × 13 × 19 = 47.424
23 × 32 × 5 × 7 × 19 = 47.880
23 × 52 × 13 × 19 = 49.400
25 × 32 × 52 × 7 = 50.400
27 × 3 × 7 × 19 = 51.072
2 × 3 × 5 × 7 × 13 × 19 = 51.870
26 × 32 × 7 × 13 = 52.416
24 × 52 × 7 × 19 = 53.200
23 × 3 × 52 × 7 × 13 = 54.600
26 × 32 × 5 × 19 = 54.720
25 × 7 × 13 × 19 = 55.328
32 × 52 × 13 × 19 = 55.575
27 × 5 × 7 × 13 = 58.240
24 × 3 × 5 × 13 × 19 = 59.280
2 × 32 × 52 × 7 × 19 = 59.850
27 × 52 × 19 = 60.800
22 × 32 × 7 × 13 × 19 = 62.244
26 × 3 × 52 × 13 = 62.400
25 × 3 × 5 × 7 × 19 = 63.840
24 × 32 × 5 × 7 × 13 = 65.520
27 × 3 × 52 × 7 = 67.200
24 × 32 × 52 × 19 = 68.400
23 × 5 × 7 × 13 × 19 = 69.160
25 × 32 × 13 × 19 = 71.136
25 × 52 × 7 × 13 = 72.800
22 × 3 × 52 × 13 × 19 = 74.100
27 × 32 × 5 × 13 = 74.880
26 × 32 × 7 × 19 = 76.608
32 × 5 × 7 × 13 × 19 = 77.805
26 × 5 × 13 × 19 = 79.040
23 × 3 × 52 × 7 × 19 = 79.800
22 × 32 × 52 × 7 × 13 = 81.900
24 × 3 × 7 × 13 × 19 = 82.992
27 × 5 × 7 × 19 = 85.120
2 × 52 × 7 × 13 × 19 = 86.450
26 × 3 × 5 × 7 × 13 = 87.360
23 × 32 × 5 × 13 × 19 = 88.920
26 × 3 × 52 × 19 = 91.200
25 × 32 × 52 × 13 = 93.600
27 × 3 × 13 × 19 = 94.848
24 × 32 × 5 × 7 × 19 = 95.760
24 × 52 × 13 × 19 = 98.800
26 × 32 × 52 × 7 = 100.800
22 × 3 × 5 × 7 × 13 × 19 = 103.740
27 × 32 × 7 × 13 = 104.832
25 × 52 × 7 × 19 = 106.400
24 × 3 × 52 × 7 × 13 = 109.200
27 × 32 × 5 × 19 = 109.440
26 × 7 × 13 × 19 = 110.656
2 × 32 × 52 × 13 × 19 = 111.150
25 × 3 × 5 × 13 × 19 = 118.560
22 × 32 × 52 × 7 × 19 = 119.700
23 × 32 × 7 × 13 × 19 = 124.488
27 × 3 × 52 × 13 = 124.800
26 × 3 × 5 × 7 × 19 = 127.680
3 × 52 × 7 × 13 × 19 = 129.675
25 × 32 × 5 × 7 × 13 = 131.040
25 × 32 × 52 × 19 = 136.800
24 × 5 × 7 × 13 × 19 = 138.320
26 × 32 × 13 × 19 = 142.272
26 × 52 × 7 × 13 = 145.600
23 × 3 × 52 × 13 × 19 = 148.200
27 × 32 × 7 × 19 = 153.216
2 × 32 × 5 × 7 × 13 × 19 = 155.610
27 × 5 × 13 × 19 = 158.080
24 × 3 × 52 × 7 × 19 = 159.600
23 × 32 × 52 × 7 × 13 = 163.800
25 × 3 × 7 × 13 × 19 = 165.984
22 × 52 × 7 × 13 × 19 = 172.900
27 × 3 × 5 × 7 × 13 = 174.720
24 × 32 × 5 × 13 × 19 = 177.840
27 × 3 × 52 × 19 = 182.400
26 × 32 × 52 × 13 = 187.200
25 × 32 × 5 × 7 × 19 = 191.520
25 × 52 × 13 × 19 = 197.600
27 × 32 × 52 × 7 = 201.600
23 × 3 × 5 × 7 × 13 × 19 = 207.480
26 × 52 × 7 × 19 = 212.800
25 × 3 × 52 × 7 × 13 = 218.400
27 × 7 × 13 × 19 = 221.312
22 × 32 × 52 × 13 × 19 = 222.300
26 × 3 × 5 × 13 × 19 = 237.120
23 × 32 × 52 × 7 × 19 = 239.400
24 × 32 × 7 × 13 × 19 = 248.976
27 × 3 × 5 × 7 × 19 = 255.360
2 × 3 × 52 × 7 × 13 × 19 = 259.350
26 × 32 × 5 × 7 × 13 = 262.080
26 × 32 × 52 × 19 = 273.600
25 × 5 × 7 × 13 × 19 = 276.640
27 × 32 × 13 × 19 = 284.544
27 × 52 × 7 × 13 = 291.200
24 × 3 × 52 × 13 × 19 = 296.400
22 × 32 × 5 × 7 × 13 × 19 = 311.220
25 × 3 × 52 × 7 × 19 = 319.200
24 × 32 × 52 × 7 × 13 = 327.600
26 × 3 × 7 × 13 × 19 = 331.968
23 × 52 × 7 × 13 × 19 = 345.800
25 × 32 × 5 × 13 × 19 = 355.680
27 × 32 × 52 × 13 = 374.400
26 × 32 × 5 × 7 × 19 = 383.040
32 × 52 × 7 × 13 × 19 = 389.025
26 × 52 × 13 × 19 = 395.200
24 × 3 × 5 × 7 × 13 × 19 = 414.960
27 × 52 × 7 × 19 = 425.600
26 × 3 × 52 × 7 × 13 = 436.800
23 × 32 × 52 × 13 × 19 = 444.600
27 × 3 × 5 × 13 × 19 = 474.240
24 × 32 × 52 × 7 × 19 = 478.800
25 × 32 × 7 × 13 × 19 = 497.952
22 × 3 × 52 × 7 × 13 × 19 = 518.700
27 × 32 × 5 × 7 × 13 = 524.160
27 × 32 × 52 × 19 = 547.200
26 × 5 × 7 × 13 × 19 = 553.280
25 × 3 × 52 × 13 × 19 = 592.800
23 × 32 × 5 × 7 × 13 × 19 = 622.440
26 × 3 × 52 × 7 × 19 = 638.400
25 × 32 × 52 × 7 × 13 = 655.200
27 × 3 × 7 × 13 × 19 = 663.936
24 × 52 × 7 × 13 × 19 = 691.600
26 × 32 × 5 × 13 × 19 = 711.360
27 × 32 × 5 × 7 × 19 = 766.080
2 × 32 × 52 × 7 × 13 × 19 = 778.050
27 × 52 × 13 × 19 = 790.400
25 × 3 × 5 × 7 × 13 × 19 = 829.920
27 × 3 × 52 × 7 × 13 = 873.600
24 × 32 × 52 × 13 × 19 = 889.200
25 × 32 × 52 × 7 × 19 = 957.600
26 × 32 × 7 × 13 × 19 = 995.904
23 × 3 × 52 × 7 × 13 × 19 = 1.037.400
27 × 5 × 7 × 13 × 19 = 1.106.560
26 × 3 × 52 × 13 × 19 = 1.185.600
24 × 32 × 5 × 7 × 13 × 19 = 1.244.880
27 × 3 × 52 × 7 × 19 = 1.276.800
26 × 32 × 52 × 7 × 13 = 1.310.400
25 × 52 × 7 × 13 × 19 = 1.383.200
27 × 32 × 5 × 13 × 19 = 1.422.720
22 × 32 × 52 × 7 × 13 × 19 = 1.556.100
26 × 3 × 5 × 7 × 13 × 19 = 1.659.840
25 × 32 × 52 × 13 × 19 = 1.778.400
26 × 32 × 52 × 7 × 19 = 1.915.200
27 × 32 × 7 × 13 × 19 = 1.991.808
24 × 3 × 52 × 7 × 13 × 19 = 2.074.800
27 × 3 × 52 × 13 × 19 = 2.371.200
25 × 32 × 5 × 7 × 13 × 19 = 2.489.760
27 × 32 × 52 × 7 × 13 = 2.620.800
26 × 52 × 7 × 13 × 19 = 2.766.400
23 × 32 × 52 × 7 × 13 × 19 = 3.112.200
27 × 3 × 5 × 7 × 13 × 19 = 3.319.680
26 × 32 × 52 × 13 × 19 = 3.556.800
27 × 32 × 52 × 7 × 19 = 3.830.400
25 × 3 × 52 × 7 × 13 × 19 = 4.149.600
26 × 32 × 5 × 7 × 13 × 19 = 4.979.520
27 × 52 × 7 × 13 × 19 = 5.532.800
24 × 32 × 52 × 7 × 13 × 19 = 6.224.400
27 × 32 × 52 × 13 × 19 = 7.113.600
26 × 3 × 52 × 7 × 13 × 19 = 8.299.200
27 × 32 × 5 × 7 × 13 × 19 = 9.959.040
25 × 32 × 52 × 7 × 13 × 19 = 12.448.800
27 × 3 × 52 × 7 × 13 × 19 = 16.598.400
26 × 32 × 52 × 7 × 13 × 19 = 24.897.600
27 × 32 × 52 × 7 × 13 × 19 = 49.795.200

Răspuns final:

49.795.200 are 576 divizori, din care 6 factori primi, 2; 3; 5; 7; 13 și 19:
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 12; 13; 14; 15; 16; 18; 19; 20; 21; 24; 25; 26; 28; 30; 32; 35; 36; 38; 39; 40; 42; 45; 48; 50; 52; 56; 57; 60; 63; 64; 65; 70; 72; 75; 76; 78; 80; 84; 90; 91; 95; 96; 100; 104; 105; 112; 114; 117; 120; 126; 128; 130; 133; 140; 144; 150; 152; 156; 160; 168; 171; 175; 180; 182; 190; 192; 195; 200; 208; 210; 224; 225; 228; 234; 240; 247; 252; 260; 266; 273; 280; 285; 288; 300; 304; 312; 315; 320; 325; 336; 342; 350; 360; 364; 380; 384; 390; 399; 400; 416; 420; 448; 450; 455; 456; 468; 475; 480; 494; 504; 520; 525; 532; 546; 560; 570; 576; 585; 600; 608; 624; 630; 640; 650; 665; 672; 684; 700; 720; 728; 741; 760; 780; 798; 800; 819; 832; 840; 855; 896; 900; 910; 912; 936; 950; 960; 975; 988; 1.008; 1.040; 1.050; 1.064; 1.092; 1.120; 1.140; 1.152; 1.170; 1.197; 1.200; 1.216; 1.235; 1.248; 1.260; 1.300; 1.330; 1.344; 1.365; 1.368; 1.400; 1.425; 1.440; 1.456; 1.482; 1.520; 1.560; 1.575; 1.596; 1.600; 1.638; 1.664; 1.680; 1.710; 1.729; 1.800; 1.820; 1.824; 1.872; 1.900; 1.920; 1.950; 1.976; 1.995; 2.016; 2.080; 2.100; 2.128; 2.184; 2.223; 2.240; 2.275; 2.280; 2.340; 2.394; 2.400; 2.432; 2.470; 2.496; 2.520; 2.600; 2.660; 2.688; 2.730; 2.736; 2.800; 2.850; 2.880; 2.912; 2.925; 2.964; 3.040; 3.120; 3.150; 3.192; 3.200; 3.276; 3.325; 3.360; 3.420; 3.458; 3.600; 3.640; 3.648; 3.705; 3.744; 3.800; 3.900; 3.952; 3.990; 4.032; 4.095; 4.160; 4.200; 4.256; 4.275; 4.368; 4.446; 4.480; 4.550; 4.560; 4.680; 4.788; 4.800; 4.940; 4.992; 5.040; 5.187; 5.200; 5.320; 5.460; 5.472; 5.600; 5.700; 5.760; 5.824; 5.850; 5.928; 5.985; 6.080; 6.175; 6.240; 6.300; 6.384; 6.552; 6.650; 6.720; 6.825; 6.840; 6.916; 7.200; 7.280; 7.296; 7.410; 7.488; 7.600; 7.800; 7.904; 7.980; 8.064; 8.190; 8.320; 8.400; 8.512; 8.550; 8.645; 8.736; 8.892; 9.100; 9.120; 9.360; 9.576; 9.600; 9.880; 9.975; 10.080; 10.374; 10.400; 10.640; 10.920; 10.944; 11.115; 11.200; 11.400; 11.648; 11.700; 11.856; 11.970; 12.160; 12.350; 12.480; 12.600; 12.768; 13.104; 13.300; 13.440; 13.650; 13.680; 13.832; 14.400; 14.560; 14.820; 14.976; 15.200; 15.561; 15.600; 15.808; 15.960; 16.380; 16.800; 17.024; 17.100; 17.290; 17.472; 17.784; 18.200; 18.240; 18.525; 18.720; 19.152; 19.760; 19.950; 20.160; 20.475; 20.748; 20.800; 21.280; 21.840; 21.888; 22.230; 22.400; 22.800; 23.400; 23.712; 23.940; 24.700; 24.960; 25.200; 25.536; 25.935; 26.208; 26.600; 27.300; 27.360; 27.664; 28.800; 29.120; 29.640; 29.925; 30.400; 31.122; 31.200; 31.616; 31.920; 32.760; 33.600; 34.200; 34.580; 34.944; 35.568; 36.400; 36.480; 37.050; 37.440; 38.304; 39.520; 39.900; 40.320; 40.950; 41.496; 41.600; 42.560; 43.225; 43.680; 44.460; 45.600; 46.800; 47.424; 47.880; 49.400; 50.400; 51.072; 51.870; 52.416; 53.200; 54.600; 54.720; 55.328; 55.575; 58.240; 59.280; 59.850; 60.800; 62.244; 62.400; 63.840; 65.520; 67.200; 68.400; 69.160; 71.136; 72.800; 74.100; 74.880; 76.608; 77.805; 79.040; 79.800; 81.900; 82.992; 85.120; 86.450; 87.360; 88.920; 91.200; 93.600; 94.848; 95.760; 98.800; 100.800; 103.740; 104.832; 106.400; 109.200; 109.440; 110.656; 111.150; 118.560; 119.700; 124.488; 124.800; 127.680; 129.675; 131.040; 136.800; 138.320; 142.272; 145.600; 148.200; 153.216; 155.610; 158.080; 159.600; 163.800; 165.984; 172.900; 174.720; 177.840; 182.400; 187.200; 191.520; 197.600; 201.600; 207.480; 212.800; 218.400; 221.312; 222.300; 237.120; 239.400; 248.976; 255.360; 259.350; 262.080; 273.600; 276.640; 284.544; 291.200; 296.400; 311.220; 319.200; 327.600; 331.968; 345.800; 355.680; 374.400; 383.040; 389.025; 395.200; 414.960; 425.600; 436.800; 444.600; 474.240; 478.800; 497.952; 518.700; 524.160; 547.200; 553.280; 592.800; 622.440; 638.400; 655.200; 663.936; 691.600; 711.360; 766.080; 778.050; 790.400; 829.920; 873.600; 889.200; 957.600; 995.904; 1.037.400; 1.106.560; 1.185.600; 1.244.880; 1.276.800; 1.310.400; 1.383.200; 1.422.720; 1.556.100; 1.659.840; 1.778.400; 1.915.200; 1.991.808; 2.074.800; 2.371.200; 2.489.760; 2.620.800; 2.766.400; 3.112.200; 3.319.680; 3.556.800; 3.830.400; 4.149.600; 4.979.520; 5.532.800; 6.224.400; 7.113.600; 8.299.200; 9.959.040; 12.448.800; 16.598.400; 24.897.600 și 49.795.200.
49.795.200 și 1 se numesc divizori improprii, ceilalți sunt divizori proprii.

49.795.199 = ? ... 49.795.201 = ?


Calculator online: toți factorii (divizorii) numerelor

Ultimii divizori calculați

divizori (49.795.200) = ? 16 iul, 01:18 EET (UTC +2)
divizori comuni (134; 133) = ?16 iul, 01:18 EET (UTC +2)
divizori comuni (6; 12) = ?16 iul, 01:18 EET (UTC +2)
divizori comuni (104; 108) = ?16 iul, 01:18 EET (UTC +2)
divizori comuni (128; 12) = ?16 iul, 01:18 EET (UTC +2)
divizori (101) = ? 16 iul, 01:18 EET (UTC +2)
divizori (97) = ? 16 iul, 01:18 EET (UTC +2)
divizori (1.330) = ? 16 iul, 01:17 EET (UTC +2)
divizori comuni (140; 315) = ?16 iul, 01:17 EET (UTC +2)
divizori comuni (42; 91) = ?16 iul, 01:17 EET (UTC +2)
divizori comuni (7.913; 79) = ?16 iul, 01:17 EET (UTC +2)
divizori comuni (432; 5) = ?16 iul, 01:17 EET (UTC +2)
divizori comuni (3.293; 3.293) = ?16 iul, 01:17 EET (UTC +2)
divizori comuni, vezi mai mult...

Teorie: divizori, divizori comuni, cel mai mare divizor comun, CMMDC

Dacă "t" este un divizor al lui "a", atunci în descompunerea în factori primi a lui "t" apar numai factori primi care apar și în descompunerea lui "a" și care pot avea exponenții cel mult egali cu cei care intervin în descompunerea lui "a".

De exemplu, 12 este divizorul lui 60:

  • 12 = 2 × 2 × 3 = 22 × 3
  • 60 = 2 × 2 × 3 × 5 = 22 × 3 × 5

Dacă "t" este un divizor comun al lui "a" și "b", atunci descompunerea lui "t" în factori primi conține numai factori primi care intervin și în descompunerile lui "a" și "b", fiecare factor la puterea cea mai mică.

De exemplu, 12 este divizorul comun al lui 48 și 360. Din descompunerea în factori primi:

  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Se observă că 48 și 360 au mai mulți divizori comuni: 2, 3, 4, 6, 8, 12, 24... Dintre ei, 24 este cel mai mare divizor comun (cmmdc) al lui 48 și 360.

Cel mai mare divizor comun al lui "a" și "b" e produsul tuturor factorilor primi comuni care intervin în ambele descompuneri ale lui "a" și "b", la puterile cele mai mici.

Pe această regulă se bazează aflarea celui mai mare divizor comun al mai multor numere, după cum reiese din exemplul de mai jos:

  • 1.260 = 22 × 32
  • 3.024 = 24 × 32 × 7
  • 5.544 = 23 × 32 × 7 × 11
  • Factorii primi comuni sunt: 2 - puterea sa cea mai mică este min. (2; 3; 4) = 2; 3 - puterea sa cea mai mică este min. (2; 2; 2) = 2;
  • cmmdc (1.260; 3.024; 5.544) = 22 × 32 = 252

Dacă două numere, "a" și "b", nu au alt divizor comun decât 1, cmmdc (a, b) = 1, numerele "a" și "b" se numesc prime între ele (coprime).

Dacă "a" și "b" nu sunt prime între ele, atunci fiecare divizor comun al lui "a" și "b" e și un divizor al celui mai mare divizor comun al lui "a" și "b".