Given the Number 133,783,650, Calculate (Find) All the Factors (All the Divisors) of the Number 133,783,650 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 133,783,650

1. Carry out the prime factorization of the number 133,783,650:

The prime factorization of a number: finding the prime numbers that multiply together to make that number.


133,783,650 = 2 × 35 × 52 × 7 × 112 × 13
133,783,650 is not a prime number but a composite one.


* Prime number: a natural number that is divisible (divided evenly) only by 1 and itself. A prime number has exactly two factors: 1 and the number itself.
* Composite number: a natural number that has at least one other factor than 1 and itself.


2. Multiply the prime factors of the number 133,783,650

Multiply the prime factors involved in the prime factorization of the number in all their unique combinations, that give different results.


Also consider the exponents of these prime factors.

Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.


All the factors (divisors) are listed below - in ascending order

The list of factors (divisors):

neither prime nor composite = 1
prime factor = 2
prime factor = 3
prime factor = 5
2 × 3 = 6
prime factor = 7
32 = 9
2 × 5 = 10
prime factor = 11
prime factor = 13
2 × 7 = 14
3 × 5 = 15
2 × 32 = 18
3 × 7 = 21
2 × 11 = 22
52 = 25
2 × 13 = 26
33 = 27
2 × 3 × 5 = 30
3 × 11 = 33
5 × 7 = 35
3 × 13 = 39
2 × 3 × 7 = 42
32 × 5 = 45
2 × 52 = 50
2 × 33 = 54
5 × 11 = 55
32 × 7 = 63
5 × 13 = 65
2 × 3 × 11 = 66
2 × 5 × 7 = 70
3 × 52 = 75
7 × 11 = 77
2 × 3 × 13 = 78
34 = 81
2 × 32 × 5 = 90
7 × 13 = 91
32 × 11 = 99
3 × 5 × 7 = 105
2 × 5 × 11 = 110
32 × 13 = 117
112 = 121
2 × 32 × 7 = 126
2 × 5 × 13 = 130
33 × 5 = 135
11 × 13 = 143
2 × 3 × 52 = 150
2 × 7 × 11 = 154
2 × 34 = 162
3 × 5 × 11 = 165
52 × 7 = 175
2 × 7 × 13 = 182
33 × 7 = 189
3 × 5 × 13 = 195
2 × 32 × 11 = 198
2 × 3 × 5 × 7 = 210
32 × 52 = 225
3 × 7 × 11 = 231
2 × 32 × 13 = 234
2 × 112 = 242
35 = 243
2 × 33 × 5 = 270
3 × 7 × 13 = 273
52 × 11 = 275
2 × 11 × 13 = 286
33 × 11 = 297
32 × 5 × 7 = 315
52 × 13 = 325
2 × 3 × 5 × 11 = 330
2 × 52 × 7 = 350
33 × 13 = 351
3 × 112 = 363
2 × 33 × 7 = 378
5 × 7 × 11 = 385
2 × 3 × 5 × 13 = 390
34 × 5 = 405
3 × 11 × 13 = 429
2 × 32 × 52 = 450
5 × 7 × 13 = 455
2 × 3 × 7 × 11 = 462
2 × 35 = 486
32 × 5 × 11 = 495
3 × 52 × 7 = 525
2 × 3 × 7 × 13 = 546
2 × 52 × 11 = 550
34 × 7 = 567
32 × 5 × 13 = 585
2 × 33 × 11 = 594
5 × 112 = 605
2 × 32 × 5 × 7 = 630
2 × 52 × 13 = 650
33 × 52 = 675
32 × 7 × 11 = 693
2 × 33 × 13 = 702
5 × 11 × 13 = 715
2 × 3 × 112 = 726
2 × 5 × 7 × 11 = 770
2 × 34 × 5 = 810
32 × 7 × 13 = 819
3 × 52 × 11 = 825
7 × 112 = 847
2 × 3 × 11 × 13 = 858
34 × 11 = 891
2 × 5 × 7 × 13 = 910
33 × 5 × 7 = 945
3 × 52 × 13 = 975
2 × 32 × 5 × 11 = 990
7 × 11 × 13 = 1,001
2 × 3 × 52 × 7 = 1,050
34 × 13 = 1,053
32 × 112 = 1,089
2 × 34 × 7 = 1,134
3 × 5 × 7 × 11 = 1,155
2 × 32 × 5 × 13 = 1,170
2 × 5 × 112 = 1,210
35 × 5 = 1,215
32 × 11 × 13 = 1,287
2 × 33 × 52 = 1,350
3 × 5 × 7 × 13 = 1,365
2 × 32 × 7 × 11 = 1,386
2 × 5 × 11 × 13 = 1,430
33 × 5 × 11 = 1,485
112 × 13 = 1,573
32 × 52 × 7 = 1,575
2 × 32 × 7 × 13 = 1,638
2 × 3 × 52 × 11 = 1,650
2 × 7 × 112 = 1,694
35 × 7 = 1,701
33 × 5 × 13 = 1,755
2 × 34 × 11 = 1,782
3 × 5 × 112 = 1,815
2 × 33 × 5 × 7 = 1,890
52 × 7 × 11 = 1,925
2 × 3 × 52 × 13 = 1,950
2 × 7 × 11 × 13 = 2,002
34 × 52 = 2,025
33 × 7 × 11 = 2,079
2 × 34 × 13 = 2,106
3 × 5 × 11 × 13 = 2,145
2 × 32 × 112 = 2,178
52 × 7 × 13 = 2,275
2 × 3 × 5 × 7 × 11 = 2,310
2 × 35 × 5 = 2,430
33 × 7 × 13 = 2,457
32 × 52 × 11 = 2,475
3 × 7 × 112 = 2,541
2 × 32 × 11 × 13 = 2,574
35 × 11 = 2,673
2 × 3 × 5 × 7 × 13 = 2,730
34 × 5 × 7 = 2,835
32 × 52 × 13 = 2,925
2 × 33 × 5 × 11 = 2,970
3 × 7 × 11 × 13 = 3,003
52 × 112 = 3,025
2 × 112 × 13 = 3,146
2 × 32 × 52 × 7 = 3,150
35 × 13 = 3,159
33 × 112 = 3,267
2 × 35 × 7 = 3,402
32 × 5 × 7 × 11 = 3,465
2 × 33 × 5 × 13 = 3,510
52 × 11 × 13 = 3,575
2 × 3 × 5 × 112 = 3,630
2 × 52 × 7 × 11 = 3,850
33 × 11 × 13 = 3,861
2 × 34 × 52 = 4,050
32 × 5 × 7 × 13 = 4,095
2 × 33 × 7 × 11 = 4,158
5 × 7 × 112 = 4,235
2 × 3 × 5 × 11 × 13 = 4,290
34 × 5 × 11 = 4,455
2 × 52 × 7 × 13 = 4,550
3 × 112 × 13 = 4,719
33 × 52 × 7 = 4,725
2 × 33 × 7 × 13 = 4,914
2 × 32 × 52 × 11 = 4,950
5 × 7 × 11 × 13 = 5,005
2 × 3 × 7 × 112 = 5,082
34 × 5 × 13 = 5,265
2 × 35 × 11 = 5,346
32 × 5 × 112 = 5,445
2 × 34 × 5 × 7 = 5,670
3 × 52 × 7 × 11 = 5,775
2 × 32 × 52 × 13 = 5,850
2 × 3 × 7 × 11 × 13 = 6,006
2 × 52 × 112 = 6,050
35 × 52 = 6,075
34 × 7 × 11 = 6,237
2 × 35 × 13 = 6,318
32 × 5 × 11 × 13 = 6,435
2 × 33 × 112 = 6,534
3 × 52 × 7 × 13 = 6,825
2 × 32 × 5 × 7 × 11 = 6,930
2 × 52 × 11 × 13 = 7,150
34 × 7 × 13 = 7,371
33 × 52 × 11 = 7,425
32 × 7 × 112 = 7,623
2 × 33 × 11 × 13 = 7,722
5 × 112 × 13 = 7,865
2 × 32 × 5 × 7 × 13 = 8,190
2 × 5 × 7 × 112 = 8,470
35 × 5 × 7 = 8,505
33 × 52 × 13 = 8,775
2 × 34 × 5 × 11 = 8,910
32 × 7 × 11 × 13 = 9,009
3 × 52 × 112 = 9,075
2 × 3 × 112 × 13 = 9,438
2 × 33 × 52 × 7 = 9,450
34 × 112 = 9,801
2 × 5 × 7 × 11 × 13 = 10,010
33 × 5 × 7 × 11 = 10,395
2 × 34 × 5 × 13 = 10,530
3 × 52 × 11 × 13 = 10,725
2 × 32 × 5 × 112 = 10,890
7 × 112 × 13 = 11,011
2 × 3 × 52 × 7 × 11 = 11,550
This list continues below...

... This list continues from above
34 × 11 × 13 = 11,583
2 × 35 × 52 = 12,150
33 × 5 × 7 × 13 = 12,285
2 × 34 × 7 × 11 = 12,474
3 × 5 × 7 × 112 = 12,705
2 × 32 × 5 × 11 × 13 = 12,870
35 × 5 × 11 = 13,365
2 × 3 × 52 × 7 × 13 = 13,650
32 × 112 × 13 = 14,157
34 × 52 × 7 = 14,175
2 × 34 × 7 × 13 = 14,742
2 × 33 × 52 × 11 = 14,850
3 × 5 × 7 × 11 × 13 = 15,015
2 × 32 × 7 × 112 = 15,246
2 × 5 × 112 × 13 = 15,730
35 × 5 × 13 = 15,795
33 × 5 × 112 = 16,335
2 × 35 × 5 × 7 = 17,010
32 × 52 × 7 × 11 = 17,325
2 × 33 × 52 × 13 = 17,550
2 × 32 × 7 × 11 × 13 = 18,018
2 × 3 × 52 × 112 = 18,150
35 × 7 × 11 = 18,711
33 × 5 × 11 × 13 = 19,305
2 × 34 × 112 = 19,602
32 × 52 × 7 × 13 = 20,475
2 × 33 × 5 × 7 × 11 = 20,790
52 × 7 × 112 = 21,175
2 × 3 × 52 × 11 × 13 = 21,450
2 × 7 × 112 × 13 = 22,022
35 × 7 × 13 = 22,113
34 × 52 × 11 = 22,275
33 × 7 × 112 = 22,869
2 × 34 × 11 × 13 = 23,166
3 × 5 × 112 × 13 = 23,595
2 × 33 × 5 × 7 × 13 = 24,570
52 × 7 × 11 × 13 = 25,025
2 × 3 × 5 × 7 × 112 = 25,410
34 × 52 × 13 = 26,325
2 × 35 × 5 × 11 = 26,730
33 × 7 × 11 × 13 = 27,027
32 × 52 × 112 = 27,225
2 × 32 × 112 × 13 = 28,314
2 × 34 × 52 × 7 = 28,350
35 × 112 = 29,403
2 × 3 × 5 × 7 × 11 × 13 = 30,030
34 × 5 × 7 × 11 = 31,185
2 × 35 × 5 × 13 = 31,590
32 × 52 × 11 × 13 = 32,175
2 × 33 × 5 × 112 = 32,670
3 × 7 × 112 × 13 = 33,033
2 × 32 × 52 × 7 × 11 = 34,650
35 × 11 × 13 = 34,749
34 × 5 × 7 × 13 = 36,855
2 × 35 × 7 × 11 = 37,422
32 × 5 × 7 × 112 = 38,115
2 × 33 × 5 × 11 × 13 = 38,610
52 × 112 × 13 = 39,325
2 × 32 × 52 × 7 × 13 = 40,950
2 × 52 × 7 × 112 = 42,350
33 × 112 × 13 = 42,471
35 × 52 × 7 = 42,525
2 × 35 × 7 × 13 = 44,226
2 × 34 × 52 × 11 = 44,550
32 × 5 × 7 × 11 × 13 = 45,045
2 × 33 × 7 × 112 = 45,738
2 × 3 × 5 × 112 × 13 = 47,190
34 × 5 × 112 = 49,005
2 × 52 × 7 × 11 × 13 = 50,050
33 × 52 × 7 × 11 = 51,975
2 × 34 × 52 × 13 = 52,650
2 × 33 × 7 × 11 × 13 = 54,054
2 × 32 × 52 × 112 = 54,450
5 × 7 × 112 × 13 = 55,055
34 × 5 × 11 × 13 = 57,915
2 × 35 × 112 = 58,806
33 × 52 × 7 × 13 = 61,425
2 × 34 × 5 × 7 × 11 = 62,370
3 × 52 × 7 × 112 = 63,525
2 × 32 × 52 × 11 × 13 = 64,350
2 × 3 × 7 × 112 × 13 = 66,066
35 × 52 × 11 = 66,825
34 × 7 × 112 = 68,607
2 × 35 × 11 × 13 = 69,498
32 × 5 × 112 × 13 = 70,785
2 × 34 × 5 × 7 × 13 = 73,710
3 × 52 × 7 × 11 × 13 = 75,075
2 × 32 × 5 × 7 × 112 = 76,230
2 × 52 × 112 × 13 = 78,650
35 × 52 × 13 = 78,975
34 × 7 × 11 × 13 = 81,081
33 × 52 × 112 = 81,675
2 × 33 × 112 × 13 = 84,942
2 × 35 × 52 × 7 = 85,050
2 × 32 × 5 × 7 × 11 × 13 = 90,090
35 × 5 × 7 × 11 = 93,555
33 × 52 × 11 × 13 = 96,525
2 × 34 × 5 × 112 = 98,010
32 × 7 × 112 × 13 = 99,099
2 × 33 × 52 × 7 × 11 = 103,950
2 × 5 × 7 × 112 × 13 = 110,110
35 × 5 × 7 × 13 = 110,565
33 × 5 × 7 × 112 = 114,345
2 × 34 × 5 × 11 × 13 = 115,830
3 × 52 × 112 × 13 = 117,975
2 × 33 × 52 × 7 × 13 = 122,850
2 × 3 × 52 × 7 × 112 = 127,050
34 × 112 × 13 = 127,413
2 × 35 × 52 × 11 = 133,650
33 × 5 × 7 × 11 × 13 = 135,135
2 × 34 × 7 × 112 = 137,214
2 × 32 × 5 × 112 × 13 = 141,570
35 × 5 × 112 = 147,015
2 × 3 × 52 × 7 × 11 × 13 = 150,150
34 × 52 × 7 × 11 = 155,925
2 × 35 × 52 × 13 = 157,950
2 × 34 × 7 × 11 × 13 = 162,162
2 × 33 × 52 × 112 = 163,350
3 × 5 × 7 × 112 × 13 = 165,165
35 × 5 × 11 × 13 = 173,745
34 × 52 × 7 × 13 = 184,275
2 × 35 × 5 × 7 × 11 = 187,110
32 × 52 × 7 × 112 = 190,575
2 × 33 × 52 × 11 × 13 = 193,050
2 × 32 × 7 × 112 × 13 = 198,198
35 × 7 × 112 = 205,821
33 × 5 × 112 × 13 = 212,355
2 × 35 × 5 × 7 × 13 = 221,130
32 × 52 × 7 × 11 × 13 = 225,225
2 × 33 × 5 × 7 × 112 = 228,690
2 × 3 × 52 × 112 × 13 = 235,950
35 × 7 × 11 × 13 = 243,243
34 × 52 × 112 = 245,025
2 × 34 × 112 × 13 = 254,826
2 × 33 × 5 × 7 × 11 × 13 = 270,270
52 × 7 × 112 × 13 = 275,275
34 × 52 × 11 × 13 = 289,575
2 × 35 × 5 × 112 = 294,030
33 × 7 × 112 × 13 = 297,297
2 × 34 × 52 × 7 × 11 = 311,850
2 × 3 × 5 × 7 × 112 × 13 = 330,330
34 × 5 × 7 × 112 = 343,035
2 × 35 × 5 × 11 × 13 = 347,490
32 × 52 × 112 × 13 = 353,925
2 × 34 × 52 × 7 × 13 = 368,550
2 × 32 × 52 × 7 × 112 = 381,150
35 × 112 × 13 = 382,239
34 × 5 × 7 × 11 × 13 = 405,405
2 × 35 × 7 × 112 = 411,642
2 × 33 × 5 × 112 × 13 = 424,710
2 × 32 × 52 × 7 × 11 × 13 = 450,450
35 × 52 × 7 × 11 = 467,775
2 × 35 × 7 × 11 × 13 = 486,486
2 × 34 × 52 × 112 = 490,050
32 × 5 × 7 × 112 × 13 = 495,495
2 × 52 × 7 × 112 × 13 = 550,550
35 × 52 × 7 × 13 = 552,825
33 × 52 × 7 × 112 = 571,725
2 × 34 × 52 × 11 × 13 = 579,150
2 × 33 × 7 × 112 × 13 = 594,594
34 × 5 × 112 × 13 = 637,065
33 × 52 × 7 × 11 × 13 = 675,675
2 × 34 × 5 × 7 × 112 = 686,070
2 × 32 × 52 × 112 × 13 = 707,850
35 × 52 × 112 = 735,075
2 × 35 × 112 × 13 = 764,478
2 × 34 × 5 × 7 × 11 × 13 = 810,810
3 × 52 × 7 × 112 × 13 = 825,825
35 × 52 × 11 × 13 = 868,725
34 × 7 × 112 × 13 = 891,891
2 × 35 × 52 × 7 × 11 = 935,550
2 × 32 × 5 × 7 × 112 × 13 = 990,990
35 × 5 × 7 × 112 = 1,029,105
33 × 52 × 112 × 13 = 1,061,775
2 × 35 × 52 × 7 × 13 = 1,105,650
2 × 33 × 52 × 7 × 112 = 1,143,450
35 × 5 × 7 × 11 × 13 = 1,216,215
2 × 34 × 5 × 112 × 13 = 1,274,130
2 × 33 × 52 × 7 × 11 × 13 = 1,351,350
2 × 35 × 52 × 112 = 1,470,150
33 × 5 × 7 × 112 × 13 = 1,486,485
2 × 3 × 52 × 7 × 112 × 13 = 1,651,650
34 × 52 × 7 × 112 = 1,715,175
2 × 35 × 52 × 11 × 13 = 1,737,450
2 × 34 × 7 × 112 × 13 = 1,783,782
35 × 5 × 112 × 13 = 1,911,195
34 × 52 × 7 × 11 × 13 = 2,027,025
2 × 35 × 5 × 7 × 112 = 2,058,210
2 × 33 × 52 × 112 × 13 = 2,123,550
2 × 35 × 5 × 7 × 11 × 13 = 2,432,430
32 × 52 × 7 × 112 × 13 = 2,477,475
35 × 7 × 112 × 13 = 2,675,673
2 × 33 × 5 × 7 × 112 × 13 = 2,972,970
34 × 52 × 112 × 13 = 3,185,325
2 × 34 × 52 × 7 × 112 = 3,430,350
2 × 35 × 5 × 112 × 13 = 3,822,390
2 × 34 × 52 × 7 × 11 × 13 = 4,054,050
34 × 5 × 7 × 112 × 13 = 4,459,455
2 × 32 × 52 × 7 × 112 × 13 = 4,954,950
35 × 52 × 7 × 112 = 5,145,525
2 × 35 × 7 × 112 × 13 = 5,351,346
35 × 52 × 7 × 11 × 13 = 6,081,075
2 × 34 × 52 × 112 × 13 = 6,370,650
33 × 52 × 7 × 112 × 13 = 7,432,425
2 × 34 × 5 × 7 × 112 × 13 = 8,918,910
35 × 52 × 112 × 13 = 9,555,975
2 × 35 × 52 × 7 × 112 = 10,291,050
2 × 35 × 52 × 7 × 11 × 13 = 12,162,150
35 × 5 × 7 × 112 × 13 = 13,378,365
2 × 33 × 52 × 7 × 112 × 13 = 14,864,850
2 × 35 × 52 × 112 × 13 = 19,111,950
34 × 52 × 7 × 112 × 13 = 22,297,275
2 × 35 × 5 × 7 × 112 × 13 = 26,756,730
2 × 34 × 52 × 7 × 112 × 13 = 44,594,550
35 × 52 × 7 × 112 × 13 = 66,891,825
2 × 35 × 52 × 7 × 112 × 13 = 133,783,650

The final answer:
(scroll down)

133,783,650 has 432 factors (divisors):
1; 2; 3; 5; 6; 7; 9; 10; 11; 13; 14; 15; 18; 21; 22; 25; 26; 27; 30; 33; 35; 39; 42; 45; 50; 54; 55; 63; 65; 66; 70; 75; 77; 78; 81; 90; 91; 99; 105; 110; 117; 121; 126; 130; 135; 143; 150; 154; 162; 165; 175; 182; 189; 195; 198; 210; 225; 231; 234; 242; 243; 270; 273; 275; 286; 297; 315; 325; 330; 350; 351; 363; 378; 385; 390; 405; 429; 450; 455; 462; 486; 495; 525; 546; 550; 567; 585; 594; 605; 630; 650; 675; 693; 702; 715; 726; 770; 810; 819; 825; 847; 858; 891; 910; 945; 975; 990; 1,001; 1,050; 1,053; 1,089; 1,134; 1,155; 1,170; 1,210; 1,215; 1,287; 1,350; 1,365; 1,386; 1,430; 1,485; 1,573; 1,575; 1,638; 1,650; 1,694; 1,701; 1,755; 1,782; 1,815; 1,890; 1,925; 1,950; 2,002; 2,025; 2,079; 2,106; 2,145; 2,178; 2,275; 2,310; 2,430; 2,457; 2,475; 2,541; 2,574; 2,673; 2,730; 2,835; 2,925; 2,970; 3,003; 3,025; 3,146; 3,150; 3,159; 3,267; 3,402; 3,465; 3,510; 3,575; 3,630; 3,850; 3,861; 4,050; 4,095; 4,158; 4,235; 4,290; 4,455; 4,550; 4,719; 4,725; 4,914; 4,950; 5,005; 5,082; 5,265; 5,346; 5,445; 5,670; 5,775; 5,850; 6,006; 6,050; 6,075; 6,237; 6,318; 6,435; 6,534; 6,825; 6,930; 7,150; 7,371; 7,425; 7,623; 7,722; 7,865; 8,190; 8,470; 8,505; 8,775; 8,910; 9,009; 9,075; 9,438; 9,450; 9,801; 10,010; 10,395; 10,530; 10,725; 10,890; 11,011; 11,550; 11,583; 12,150; 12,285; 12,474; 12,705; 12,870; 13,365; 13,650; 14,157; 14,175; 14,742; 14,850; 15,015; 15,246; 15,730; 15,795; 16,335; 17,010; 17,325; 17,550; 18,018; 18,150; 18,711; 19,305; 19,602; 20,475; 20,790; 21,175; 21,450; 22,022; 22,113; 22,275; 22,869; 23,166; 23,595; 24,570; 25,025; 25,410; 26,325; 26,730; 27,027; 27,225; 28,314; 28,350; 29,403; 30,030; 31,185; 31,590; 32,175; 32,670; 33,033; 34,650; 34,749; 36,855; 37,422; 38,115; 38,610; 39,325; 40,950; 42,350; 42,471; 42,525; 44,226; 44,550; 45,045; 45,738; 47,190; 49,005; 50,050; 51,975; 52,650; 54,054; 54,450; 55,055; 57,915; 58,806; 61,425; 62,370; 63,525; 64,350; 66,066; 66,825; 68,607; 69,498; 70,785; 73,710; 75,075; 76,230; 78,650; 78,975; 81,081; 81,675; 84,942; 85,050; 90,090; 93,555; 96,525; 98,010; 99,099; 103,950; 110,110; 110,565; 114,345; 115,830; 117,975; 122,850; 127,050; 127,413; 133,650; 135,135; 137,214; 141,570; 147,015; 150,150; 155,925; 157,950; 162,162; 163,350; 165,165; 173,745; 184,275; 187,110; 190,575; 193,050; 198,198; 205,821; 212,355; 221,130; 225,225; 228,690; 235,950; 243,243; 245,025; 254,826; 270,270; 275,275; 289,575; 294,030; 297,297; 311,850; 330,330; 343,035; 347,490; 353,925; 368,550; 381,150; 382,239; 405,405; 411,642; 424,710; 450,450; 467,775; 486,486; 490,050; 495,495; 550,550; 552,825; 571,725; 579,150; 594,594; 637,065; 675,675; 686,070; 707,850; 735,075; 764,478; 810,810; 825,825; 868,725; 891,891; 935,550; 990,990; 1,029,105; 1,061,775; 1,105,650; 1,143,450; 1,216,215; 1,274,130; 1,351,350; 1,470,150; 1,486,485; 1,651,650; 1,715,175; 1,737,450; 1,783,782; 1,911,195; 2,027,025; 2,058,210; 2,123,550; 2,432,430; 2,477,475; 2,675,673; 2,972,970; 3,185,325; 3,430,350; 3,822,390; 4,054,050; 4,459,455; 4,954,950; 5,145,525; 5,351,346; 6,081,075; 6,370,650; 7,432,425; 8,918,910; 9,555,975; 10,291,050; 12,162,150; 13,378,365; 14,864,850; 19,111,950; 22,297,275; 26,756,730; 44,594,550; 66,891,825 and 133,783,650
out of which 6 prime factors: 2; 3; 5; 7; 11 and 13
133,783,650 and 1 are sometimes called improper factors, the others are called proper factors (proper divisors).

A quick way to find the factors (the divisors) of a number is to break it down into prime factors.


Then multiply the prime factors and their exponents, if any, in all their different combinations.


Calculate all the divisors (factors) of the given numbers

How to calculate (find) all the factors (divisors) of a number:

Break down the number into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

To calculate the common factors of two numbers:

The common factors (divisors) of two numbers are all the factors of the greatest common factor, gcf.

Calculate the greatest (highest) common factor (divisor) of the two numbers, gcf (hcf, gcd).

Break down the GCF into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

The latest 10 sets of calculated factors (divisors): of one number or the common factors of two numbers

What are all the proper, improper and prime factors (all the divisors) of the number 133,783,650? How to calculate them? Apr 18 11:56 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 11,702,598 and 0? How to calculate them? Apr 18 11:56 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 4,218,312? How to calculate them? Apr 18 11:56 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 4 and 9? How to calculate them? Apr 18 11:56 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 100,000,000,062 and 146? How to calculate them? Apr 18 11:55 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 72 and 90? How to calculate them? Apr 18 11:55 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 669,626? How to calculate them? Apr 18 11:55 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 99 and 100? How to calculate them? Apr 18 11:55 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 24,201 and 0? How to calculate them? Apr 18 11:55 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 145 and 221? How to calculate them? Apr 18 11:55 UTC (GMT)
The list of all the calculated factors (divisors) of one or two numbers

Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

  • If the number "t" is a factor (divisor) of the number "a" then in the prime factorization of "t" we will only encounter prime factors that also occur in the prime factorization of "a".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" (powers, or multiplicities) is at most equal to the exponent of the same base that is involved in the prime factorization of "a".
  • Hint: 23 = 2 × 2 × 2 = 8. 2 is called the base and 3 is the exponent. 23 is the power and 8 is the value of the power. We sometimes say that the number 2 is raised to the power of 3.
  • For example, 12 is a factor (divisor) of 120 - the remainder is zero when dividing 120 by 12.
  • Let's look at the prime factorization of both numbers and notice the bases and the exponents that occur in the prime factorization of both numbers:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contains all the prime factors of 12, and all its bases' exponents are higher than those of 12.
  • If "t" is a common factor (divisor) of "a" and "b", then the prime factorization of "t" contains only the common prime factors involved in the prime factorizations of both "a" and "b".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" is at most equal to the minimum of the exponents of the same base that is involved in the prime factorization of both "a" and "b".
  • For example, 12 is the common factor of 48 and 360.
  • The remainder is zero when dividing either 48 or 360 by 12.
  • Here there are the prime factorizations of the three numbers, 12, 48 and 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Please note that 48 and 360 have more factors (divisors): 2, 3, 4, 6, 8, 12, 24. Among them, 24 is the greatest common factor, GCF (or the greatest common divisor, GCD, or the highest common factor, HCF) of 48 and 360.
  • The greatest common factor, GCF, of two numbers, "a" and "b", is the product of all the common prime factors involved in the prime factorizations of both "a" and "b", taken by the lowest exponents.
  • Based on this rule it is calculated the greatest common factor, GCF, (or the greatest common divisor GCD, HCF) of several numbers, as shown in the example below...
  • GCF, GCD (1,260; 3,024; 5,544) = ?
  • 1,260 = 22 × 32
  • 3,024 = 24 × 32 × 7
  • 5,544 = 23 × 32 × 7 × 11
  • The common prime factors are:
  • 2 - its lowest exponent (multiplicity) is: min.(2; 3; 4) = 2
  • 3 - its lowest exponent (multiplicity) is: min.(2; 2; 2) = 2
  • GCF, GCD (1,260; 3,024; 5,544) = 22 × 32 = 252
  • Coprime numbers:
  • If two numbers "a" and "b" have no other common factors (divisors) than 1, gfc, gcd, hcf (a; b) = 1, then the numbers "a" and "b" are called coprime (or relatively prime).
  • Factors of the GCF
  • If "a" and "b" are not coprime, then every common factor (divisor) of "a" and "b" is a also a factor (divisor) of the greatest common factor, GCF (greatest common divisor, GCD, highest common factor, HCF) of "a" and "b".