Given the Number 328,378,050, Calculate (Find) All the Factors (All the Divisors) of the Number 328,378,050 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 328,378,050

1. Carry out the prime factorization of the number 328,378,050:

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

328,378,050 = 2 × 38 × 52 × 7 × 11 × 13
328,378,050 is not a prime number but a composite one.

» Online calculator. Check whether a number is prime or not. The prime factorization of composite numbers

* 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 328,378,050

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
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
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
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
2 × 32 × 5 × 7 = 630
2 × 52 × 13 = 650
33 × 52 = 675
32 × 7 × 11 = 693
2 × 33 × 13 = 702
5 × 11 × 13 = 715
36 = 729
2 × 5 × 7 × 11 = 770
2 × 34 × 5 = 810
32 × 7 × 13 = 819
3 × 52 × 11 = 825
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
2 × 34 × 7 = 1,134
3 × 5 × 7 × 11 = 1,155
2 × 32 × 5 × 13 = 1,170
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
2 × 36 = 1,458
33 × 5 × 11 = 1,485
32 × 52 × 7 = 1,575
2 × 32 × 7 × 13 = 1,638
2 × 3 × 52 × 11 = 1,650
35 × 7 = 1,701
33 × 5 × 13 = 1,755
2 × 34 × 11 = 1,782
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
37 = 2,187
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
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
2 × 32 × 52 × 7 = 3,150
35 × 13 = 3,159
2 × 35 × 7 = 3,402
32 × 5 × 7 × 11 = 3,465
2 × 33 × 5 × 13 = 3,510
52 × 11 × 13 = 3,575
36 × 5 = 3,645
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
2 × 3 × 5 × 11 × 13 = 4,290
2 × 37 = 4,374
34 × 5 × 11 = 4,455
2 × 52 × 7 × 13 = 4,550
33 × 52 × 7 = 4,725
2 × 33 × 7 × 13 = 4,914
2 × 32 × 52 × 11 = 4,950
5 × 7 × 11 × 13 = 5,005
36 × 7 = 5,103
34 × 5 × 13 = 5,265
2 × 35 × 11 = 5,346
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
35 × 52 = 6,075
34 × 7 × 11 = 6,237
2 × 35 × 13 = 6,318
32 × 5 × 11 × 13 = 6,435
38 = 6,561
3 × 52 × 7 × 13 = 6,825
2 × 32 × 5 × 7 × 11 = 6,930
2 × 52 × 11 × 13 = 7,150
2 × 36 × 5 = 7,290
34 × 7 × 13 = 7,371
33 × 52 × 11 = 7,425
2 × 33 × 11 × 13 = 7,722
36 × 11 = 8,019
2 × 32 × 5 × 7 × 13 = 8,190
35 × 5 × 7 = 8,505
33 × 52 × 13 = 8,775
2 × 34 × 5 × 11 = 8,910
32 × 7 × 11 × 13 = 9,009
2 × 33 × 52 × 7 = 9,450
36 × 13 = 9,477
2 × 5 × 7 × 11 × 13 = 10,010
2 × 36 × 7 = 10,206
33 × 5 × 7 × 11 = 10,395
2 × 34 × 5 × 13 = 10,530
3 × 52 × 11 × 13 = 10,725
37 × 5 = 10,935
2 × 3 × 52 × 7 × 11 = 11,550
34 × 11 × 13 = 11,583
2 × 35 × 52 = 12,150
33 × 5 × 7 × 13 = 12,285
2 × 34 × 7 × 11 = 12,474
2 × 32 × 5 × 11 × 13 = 12,870
2 × 38 = 13,122
35 × 5 × 11 = 13,365
2 × 3 × 52 × 7 × 13 = 13,650
34 × 52 × 7 = 14,175
2 × 34 × 7 × 13 = 14,742
2 × 33 × 52 × 11 = 14,850
3 × 5 × 7 × 11 × 13 = 15,015
37 × 7 = 15,309
35 × 5 × 13 = 15,795
2 × 36 × 11 = 16,038
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
This list continues below...

... This list continues from above
36 × 52 = 18,225
35 × 7 × 11 = 18,711
2 × 36 × 13 = 18,954
33 × 5 × 11 × 13 = 19,305
32 × 52 × 7 × 13 = 20,475
2 × 33 × 5 × 7 × 11 = 20,790
2 × 3 × 52 × 11 × 13 = 21,450
2 × 37 × 5 = 21,870
35 × 7 × 13 = 22,113
34 × 52 × 11 = 22,275
2 × 34 × 11 × 13 = 23,166
37 × 11 = 24,057
2 × 33 × 5 × 7 × 13 = 24,570
52 × 7 × 11 × 13 = 25,025
36 × 5 × 7 = 25,515
34 × 52 × 13 = 26,325
2 × 35 × 5 × 11 = 26,730
33 × 7 × 11 × 13 = 27,027
2 × 34 × 52 × 7 = 28,350
37 × 13 = 28,431
2 × 3 × 5 × 7 × 11 × 13 = 30,030
2 × 37 × 7 = 30,618
34 × 5 × 7 × 11 = 31,185
2 × 35 × 5 × 13 = 31,590
32 × 52 × 11 × 13 = 32,175
38 × 5 = 32,805
2 × 32 × 52 × 7 × 11 = 34,650
35 × 11 × 13 = 34,749
2 × 36 × 52 = 36,450
34 × 5 × 7 × 13 = 36,855
2 × 35 × 7 × 11 = 37,422
2 × 33 × 5 × 11 × 13 = 38,610
36 × 5 × 11 = 40,095
2 × 32 × 52 × 7 × 13 = 40,950
35 × 52 × 7 = 42,525
2 × 35 × 7 × 13 = 44,226
2 × 34 × 52 × 11 = 44,550
32 × 5 × 7 × 11 × 13 = 45,045
38 × 7 = 45,927
36 × 5 × 13 = 47,385
2 × 37 × 11 = 48,114
2 × 52 × 7 × 11 × 13 = 50,050
2 × 36 × 5 × 7 = 51,030
33 × 52 × 7 × 11 = 51,975
2 × 34 × 52 × 13 = 52,650
2 × 33 × 7 × 11 × 13 = 54,054
37 × 52 = 54,675
36 × 7 × 11 = 56,133
2 × 37 × 13 = 56,862
34 × 5 × 11 × 13 = 57,915
33 × 52 × 7 × 13 = 61,425
2 × 34 × 5 × 7 × 11 = 62,370
2 × 32 × 52 × 11 × 13 = 64,350
2 × 38 × 5 = 65,610
36 × 7 × 13 = 66,339
35 × 52 × 11 = 66,825
2 × 35 × 11 × 13 = 69,498
38 × 11 = 72,171
2 × 34 × 5 × 7 × 13 = 73,710
3 × 52 × 7 × 11 × 13 = 75,075
37 × 5 × 7 = 76,545
35 × 52 × 13 = 78,975
2 × 36 × 5 × 11 = 80,190
34 × 7 × 11 × 13 = 81,081
2 × 35 × 52 × 7 = 85,050
38 × 13 = 85,293
2 × 32 × 5 × 7 × 11 × 13 = 90,090
2 × 38 × 7 = 91,854
35 × 5 × 7 × 11 = 93,555
2 × 36 × 5 × 13 = 94,770
33 × 52 × 11 × 13 = 96,525
2 × 33 × 52 × 7 × 11 = 103,950
36 × 11 × 13 = 104,247
2 × 37 × 52 = 109,350
35 × 5 × 7 × 13 = 110,565
2 × 36 × 7 × 11 = 112,266
2 × 34 × 5 × 11 × 13 = 115,830
37 × 5 × 11 = 120,285
2 × 33 × 52 × 7 × 13 = 122,850
36 × 52 × 7 = 127,575
2 × 36 × 7 × 13 = 132,678
2 × 35 × 52 × 11 = 133,650
33 × 5 × 7 × 11 × 13 = 135,135
37 × 5 × 13 = 142,155
2 × 38 × 11 = 144,342
2 × 3 × 52 × 7 × 11 × 13 = 150,150
2 × 37 × 5 × 7 = 153,090
34 × 52 × 7 × 11 = 155,925
2 × 35 × 52 × 13 = 157,950
2 × 34 × 7 × 11 × 13 = 162,162
38 × 52 = 164,025
37 × 7 × 11 = 168,399
2 × 38 × 13 = 170,586
35 × 5 × 11 × 13 = 173,745
34 × 52 × 7 × 13 = 184,275
2 × 35 × 5 × 7 × 11 = 187,110
2 × 33 × 52 × 11 × 13 = 193,050
37 × 7 × 13 = 199,017
36 × 52 × 11 = 200,475
2 × 36 × 11 × 13 = 208,494
2 × 35 × 5 × 7 × 13 = 221,130
32 × 52 × 7 × 11 × 13 = 225,225
38 × 5 × 7 = 229,635
36 × 52 × 13 = 236,925
2 × 37 × 5 × 11 = 240,570
35 × 7 × 11 × 13 = 243,243
2 × 36 × 52 × 7 = 255,150
2 × 33 × 5 × 7 × 11 × 13 = 270,270
36 × 5 × 7 × 11 = 280,665
2 × 37 × 5 × 13 = 284,310
34 × 52 × 11 × 13 = 289,575
2 × 34 × 52 × 7 × 11 = 311,850
37 × 11 × 13 = 312,741
2 × 38 × 52 = 328,050
36 × 5 × 7 × 13 = 331,695
2 × 37 × 7 × 11 = 336,798
2 × 35 × 5 × 11 × 13 = 347,490
38 × 5 × 11 = 360,855
2 × 34 × 52 × 7 × 13 = 368,550
37 × 52 × 7 = 382,725
2 × 37 × 7 × 13 = 398,034
2 × 36 × 52 × 11 = 400,950
34 × 5 × 7 × 11 × 13 = 405,405
38 × 5 × 13 = 426,465
2 × 32 × 52 × 7 × 11 × 13 = 450,450
2 × 38 × 5 × 7 = 459,270
35 × 52 × 7 × 11 = 467,775
2 × 36 × 52 × 13 = 473,850
2 × 35 × 7 × 11 × 13 = 486,486
38 × 7 × 11 = 505,197
36 × 5 × 11 × 13 = 521,235
35 × 52 × 7 × 13 = 552,825
2 × 36 × 5 × 7 × 11 = 561,330
2 × 34 × 52 × 11 × 13 = 579,150
38 × 7 × 13 = 597,051
37 × 52 × 11 = 601,425
2 × 37 × 11 × 13 = 625,482
2 × 36 × 5 × 7 × 13 = 663,390
33 × 52 × 7 × 11 × 13 = 675,675
37 × 52 × 13 = 710,775
2 × 38 × 5 × 11 = 721,710
36 × 7 × 11 × 13 = 729,729
2 × 37 × 52 × 7 = 765,450
2 × 34 × 5 × 7 × 11 × 13 = 810,810
37 × 5 × 7 × 11 = 841,995
2 × 38 × 5 × 13 = 852,930
35 × 52 × 11 × 13 = 868,725
2 × 35 × 52 × 7 × 11 = 935,550
38 × 11 × 13 = 938,223
37 × 5 × 7 × 13 = 995,085
2 × 38 × 7 × 11 = 1,010,394
2 × 36 × 5 × 11 × 13 = 1,042,470
2 × 35 × 52 × 7 × 13 = 1,105,650
38 × 52 × 7 = 1,148,175
2 × 38 × 7 × 13 = 1,194,102
2 × 37 × 52 × 11 = 1,202,850
35 × 5 × 7 × 11 × 13 = 1,216,215
2 × 33 × 52 × 7 × 11 × 13 = 1,351,350
36 × 52 × 7 × 11 = 1,403,325
2 × 37 × 52 × 13 = 1,421,550
2 × 36 × 7 × 11 × 13 = 1,459,458
37 × 5 × 11 × 13 = 1,563,705
36 × 52 × 7 × 13 = 1,658,475
2 × 37 × 5 × 7 × 11 = 1,683,990
2 × 35 × 52 × 11 × 13 = 1,737,450
38 × 52 × 11 = 1,804,275
2 × 38 × 11 × 13 = 1,876,446
2 × 37 × 5 × 7 × 13 = 1,990,170
34 × 52 × 7 × 11 × 13 = 2,027,025
38 × 52 × 13 = 2,132,325
37 × 7 × 11 × 13 = 2,189,187
2 × 38 × 52 × 7 = 2,296,350
2 × 35 × 5 × 7 × 11 × 13 = 2,432,430
38 × 5 × 7 × 11 = 2,525,985
36 × 52 × 11 × 13 = 2,606,175
2 × 36 × 52 × 7 × 11 = 2,806,650
38 × 5 × 7 × 13 = 2,985,255
2 × 37 × 5 × 11 × 13 = 3,127,410
2 × 36 × 52 × 7 × 13 = 3,316,950
2 × 38 × 52 × 11 = 3,608,550
36 × 5 × 7 × 11 × 13 = 3,648,645
2 × 34 × 52 × 7 × 11 × 13 = 4,054,050
37 × 52 × 7 × 11 = 4,209,975
2 × 38 × 52 × 13 = 4,264,650
2 × 37 × 7 × 11 × 13 = 4,378,374
38 × 5 × 11 × 13 = 4,691,115
37 × 52 × 7 × 13 = 4,975,425
2 × 38 × 5 × 7 × 11 = 5,051,970
2 × 36 × 52 × 11 × 13 = 5,212,350
2 × 38 × 5 × 7 × 13 = 5,970,510
35 × 52 × 7 × 11 × 13 = 6,081,075
38 × 7 × 11 × 13 = 6,567,561
2 × 36 × 5 × 7 × 11 × 13 = 7,297,290
37 × 52 × 11 × 13 = 7,818,525
2 × 37 × 52 × 7 × 11 = 8,419,950
2 × 38 × 5 × 11 × 13 = 9,382,230
2 × 37 × 52 × 7 × 13 = 9,950,850
37 × 5 × 7 × 11 × 13 = 10,945,935
2 × 35 × 52 × 7 × 11 × 13 = 12,162,150
38 × 52 × 7 × 11 = 12,629,925
2 × 38 × 7 × 11 × 13 = 13,135,122
38 × 52 × 7 × 13 = 14,926,275
2 × 37 × 52 × 11 × 13 = 15,637,050
36 × 52 × 7 × 11 × 13 = 18,243,225
2 × 37 × 5 × 7 × 11 × 13 = 21,891,870
38 × 52 × 11 × 13 = 23,455,575
2 × 38 × 52 × 7 × 11 = 25,259,850
2 × 38 × 52 × 7 × 13 = 29,852,550
38 × 5 × 7 × 11 × 13 = 32,837,805
2 × 36 × 52 × 7 × 11 × 13 = 36,486,450
2 × 38 × 52 × 11 × 13 = 46,911,150
37 × 52 × 7 × 11 × 13 = 54,729,675
2 × 38 × 5 × 7 × 11 × 13 = 65,675,610
2 × 37 × 52 × 7 × 11 × 13 = 109,459,350
38 × 52 × 7 × 11 × 13 = 164,189,025
2 × 38 × 52 × 7 × 11 × 13 = 328,378,050

The final answer:
(scroll down)

328,378,050 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; 126; 130; 135; 143; 150; 154; 162; 165; 175; 182; 189; 195; 198; 210; 225; 231; 234; 243; 270; 273; 275; 286; 297; 315; 325; 330; 350; 351; 378; 385; 390; 405; 429; 450; 455; 462; 486; 495; 525; 546; 550; 567; 585; 594; 630; 650; 675; 693; 702; 715; 729; 770; 810; 819; 825; 858; 891; 910; 945; 975; 990; 1,001; 1,050; 1,053; 1,134; 1,155; 1,170; 1,215; 1,287; 1,350; 1,365; 1,386; 1,430; 1,458; 1,485; 1,575; 1,638; 1,650; 1,701; 1,755; 1,782; 1,890; 1,925; 1,950; 2,002; 2,025; 2,079; 2,106; 2,145; 2,187; 2,275; 2,310; 2,430; 2,457; 2,475; 2,574; 2,673; 2,730; 2,835; 2,925; 2,970; 3,003; 3,150; 3,159; 3,402; 3,465; 3,510; 3,575; 3,645; 3,850; 3,861; 4,050; 4,095; 4,158; 4,290; 4,374; 4,455; 4,550; 4,725; 4,914; 4,950; 5,005; 5,103; 5,265; 5,346; 5,670; 5,775; 5,850; 6,006; 6,075; 6,237; 6,318; 6,435; 6,561; 6,825; 6,930; 7,150; 7,290; 7,371; 7,425; 7,722; 8,019; 8,190; 8,505; 8,775; 8,910; 9,009; 9,450; 9,477; 10,010; 10,206; 10,395; 10,530; 10,725; 10,935; 11,550; 11,583; 12,150; 12,285; 12,474; 12,870; 13,122; 13,365; 13,650; 14,175; 14,742; 14,850; 15,015; 15,309; 15,795; 16,038; 17,010; 17,325; 17,550; 18,018; 18,225; 18,711; 18,954; 19,305; 20,475; 20,790; 21,450; 21,870; 22,113; 22,275; 23,166; 24,057; 24,570; 25,025; 25,515; 26,325; 26,730; 27,027; 28,350; 28,431; 30,030; 30,618; 31,185; 31,590; 32,175; 32,805; 34,650; 34,749; 36,450; 36,855; 37,422; 38,610; 40,095; 40,950; 42,525; 44,226; 44,550; 45,045; 45,927; 47,385; 48,114; 50,050; 51,030; 51,975; 52,650; 54,054; 54,675; 56,133; 56,862; 57,915; 61,425; 62,370; 64,350; 65,610; 66,339; 66,825; 69,498; 72,171; 73,710; 75,075; 76,545; 78,975; 80,190; 81,081; 85,050; 85,293; 90,090; 91,854; 93,555; 94,770; 96,525; 103,950; 104,247; 109,350; 110,565; 112,266; 115,830; 120,285; 122,850; 127,575; 132,678; 133,650; 135,135; 142,155; 144,342; 150,150; 153,090; 155,925; 157,950; 162,162; 164,025; 168,399; 170,586; 173,745; 184,275; 187,110; 193,050; 199,017; 200,475; 208,494; 221,130; 225,225; 229,635; 236,925; 240,570; 243,243; 255,150; 270,270; 280,665; 284,310; 289,575; 311,850; 312,741; 328,050; 331,695; 336,798; 347,490; 360,855; 368,550; 382,725; 398,034; 400,950; 405,405; 426,465; 450,450; 459,270; 467,775; 473,850; 486,486; 505,197; 521,235; 552,825; 561,330; 579,150; 597,051; 601,425; 625,482; 663,390; 675,675; 710,775; 721,710; 729,729; 765,450; 810,810; 841,995; 852,930; 868,725; 935,550; 938,223; 995,085; 1,010,394; 1,042,470; 1,105,650; 1,148,175; 1,194,102; 1,202,850; 1,216,215; 1,351,350; 1,403,325; 1,421,550; 1,459,458; 1,563,705; 1,658,475; 1,683,990; 1,737,450; 1,804,275; 1,876,446; 1,990,170; 2,027,025; 2,132,325; 2,189,187; 2,296,350; 2,432,430; 2,525,985; 2,606,175; 2,806,650; 2,985,255; 3,127,410; 3,316,950; 3,608,550; 3,648,645; 4,054,050; 4,209,975; 4,264,650; 4,378,374; 4,691,115; 4,975,425; 5,051,970; 5,212,350; 5,970,510; 6,081,075; 6,567,561; 7,297,290; 7,818,525; 8,419,950; 9,382,230; 9,950,850; 10,945,935; 12,162,150; 12,629,925; 13,135,122; 14,926,275; 15,637,050; 18,243,225; 21,891,870; 23,455,575; 25,259,850; 29,852,550; 32,837,805; 36,486,450; 46,911,150; 54,729,675; 65,675,610; 109,459,350; 164,189,025 and 328,378,050
out of which 6 prime factors: 2; 3; 5; 7; 11 and 13
328,378,050 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.


Other similar operations of calculating factors (divisors):

» What are all the proper, improper and prime factors (divisors) of the number 328,378,045?

» What are all the proper, improper and prime factors (divisors) of the number 328,378,062?


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.

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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".