Given the Number 36,486,450 Calculate (Find) All Its Factors (Divisors – the Proper, the Improper and the Prime Factors). Online Calculator

All the factors (divisors) of the number 36,486,450

1. Carry out the prime factorization of the number 36,486,450:

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


36,486,450 = 2 × 36 × 52 × 7 × 11 × 13
36,486,450 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 36,486,450

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
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
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
This list continues below...

... This list continues from above
35 × 52 = 6,075
34 × 7 × 11 = 6,237
2 × 35 × 13 = 6,318
32 × 5 × 11 × 13 = 6,435
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
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
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
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
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
35 × 7 × 13 = 22,113
34 × 52 × 11 = 22,275
2 × 34 × 11 × 13 = 23,166
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
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 × 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
36 × 5 × 13 = 47,385
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
36 × 7 × 11 = 56,133
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
36 × 7 × 13 = 66,339
35 × 52 × 11 = 66,825
2 × 35 × 11 × 13 = 69,498
2 × 34 × 5 × 7 × 13 = 73,710
3 × 52 × 7 × 11 × 13 = 75,075
35 × 52 × 13 = 78,975
2 × 36 × 5 × 11 = 80,190
34 × 7 × 11 × 13 = 81,081
2 × 35 × 52 × 7 = 85,050
2 × 32 × 5 × 7 × 11 × 13 = 90,090
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
35 × 5 × 7 × 13 = 110,565
2 × 36 × 7 × 11 = 112,266
2 × 34 × 5 × 11 × 13 = 115,830
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
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
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
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
36 × 52 × 13 = 236,925
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
34 × 52 × 11 × 13 = 289,575
2 × 34 × 52 × 7 × 11 = 311,850
36 × 5 × 7 × 13 = 331,695
2 × 35 × 5 × 11 × 13 = 347,490
2 × 34 × 52 × 7 × 13 = 368,550
2 × 36 × 52 × 11 = 400,950
34 × 5 × 7 × 11 × 13 = 405,405
2 × 32 × 52 × 7 × 11 × 13 = 450,450
35 × 52 × 7 × 11 = 467,775
2 × 36 × 52 × 13 = 473,850
2 × 35 × 7 × 11 × 13 = 486,486
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
2 × 36 × 5 × 7 × 13 = 663,390
33 × 52 × 7 × 11 × 13 = 675,675
36 × 7 × 11 × 13 = 729,729
2 × 34 × 5 × 7 × 11 × 13 = 810,810
35 × 52 × 11 × 13 = 868,725
2 × 35 × 52 × 7 × 11 = 935,550
2 × 36 × 5 × 11 × 13 = 1,042,470
2 × 35 × 52 × 7 × 13 = 1,105,650
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 × 36 × 7 × 11 × 13 = 1,459,458
36 × 52 × 7 × 13 = 1,658,475
2 × 35 × 52 × 11 × 13 = 1,737,450
34 × 52 × 7 × 11 × 13 = 2,027,025
2 × 35 × 5 × 7 × 11 × 13 = 2,432,430
36 × 52 × 11 × 13 = 2,606,175
2 × 36 × 52 × 7 × 11 = 2,806,650
2 × 36 × 52 × 7 × 13 = 3,316,950
36 × 5 × 7 × 11 × 13 = 3,648,645
2 × 34 × 52 × 7 × 11 × 13 = 4,054,050
2 × 36 × 52 × 11 × 13 = 5,212,350
35 × 52 × 7 × 11 × 13 = 6,081,075
2 × 36 × 5 × 7 × 11 × 13 = 7,297,290
2 × 35 × 52 × 7 × 11 × 13 = 12,162,150
36 × 52 × 7 × 11 × 13 = 18,243,225
2 × 36 × 52 × 7 × 11 × 13 = 36,486,450

The final answer:
(scroll down)

36,486,450 has 336 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; 2,275; 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; 4,455; 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; 6,825; 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; 11,550; 11,583; 12,150; 12,285; 12,474; 12,870; 13,365; 13,650; 14,175; 14,742; 14,850; 15,015; 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; 22,113; 22,275; 23,166; 24,570; 25,025; 25,515; 26,325; 26,730; 27,027; 28,350; 30,030; 31,185; 31,590; 32,175; 34,650; 34,749; 36,450; 36,855; 37,422; 38,610; 40,095; 40,950; 42,525; 44,226; 44,550; 45,045; 47,385; 50,050; 51,030; 51,975; 52,650; 54,054; 56,133; 57,915; 61,425; 62,370; 64,350; 66,339; 66,825; 69,498; 73,710; 75,075; 78,975; 80,190; 81,081; 85,050; 90,090; 93,555; 94,770; 96,525; 103,950; 104,247; 110,565; 112,266; 115,830; 122,850; 127,575; 132,678; 133,650; 135,135; 150,150; 155,925; 157,950; 162,162; 173,745; 184,275; 187,110; 193,050; 200,475; 208,494; 221,130; 225,225; 236,925; 243,243; 255,150; 270,270; 280,665; 289,575; 311,850; 331,695; 347,490; 368,550; 400,950; 405,405; 450,450; 467,775; 473,850; 486,486; 521,235; 552,825; 561,330; 579,150; 663,390; 675,675; 729,729; 810,810; 868,725; 935,550; 1,042,470; 1,105,650; 1,216,215; 1,351,350; 1,403,325; 1,459,458; 1,658,475; 1,737,450; 2,027,025; 2,432,430; 2,606,175; 2,806,650; 3,316,950; 3,648,645; 4,054,050; 5,212,350; 6,081,075; 7,297,290; 12,162,150; 18,243,225 and 36,486,450
out of which 6 prime factors: 2; 3; 5; 7; 11 and 13
36,486,450 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.


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".