Given the Number 1,621,620 Calculate (Find) All Its Factors (Divisors – the Proper, the Improper and the Prime Factors). Online Calculator

All the factors (divisors) of the number 1,621,620

1. Carry out the prime factorization of the number 1,621,620:

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


1,621,620 = 22 × 34 × 5 × 7 × 11 × 13
1,621,620 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 1,621,620

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
22 = 4
prime factor = 5
2 × 3 = 6
prime factor = 7
32 = 9
2 × 5 = 10
prime factor = 11
22 × 3 = 12
prime factor = 13
2 × 7 = 14
3 × 5 = 15
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
2 × 13 = 26
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
3 × 11 = 33
5 × 7 = 35
22 × 32 = 36
3 × 13 = 39
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
22 × 13 = 52
2 × 33 = 54
5 × 11 = 55
22 × 3 × 5 = 60
32 × 7 = 63
5 × 13 = 65
2 × 3 × 11 = 66
2 × 5 × 7 = 70
7 × 11 = 77
2 × 3 × 13 = 78
34 = 81
22 × 3 × 7 = 84
2 × 32 × 5 = 90
7 × 13 = 91
32 × 11 = 99
3 × 5 × 7 = 105
22 × 33 = 108
2 × 5 × 11 = 110
32 × 13 = 117
2 × 32 × 7 = 126
2 × 5 × 13 = 130
22 × 3 × 11 = 132
33 × 5 = 135
22 × 5 × 7 = 140
11 × 13 = 143
2 × 7 × 11 = 154
22 × 3 × 13 = 156
2 × 34 = 162
3 × 5 × 11 = 165
22 × 32 × 5 = 180
2 × 7 × 13 = 182
33 × 7 = 189
3 × 5 × 13 = 195
2 × 32 × 11 = 198
2 × 3 × 5 × 7 = 210
22 × 5 × 11 = 220
3 × 7 × 11 = 231
2 × 32 × 13 = 234
22 × 32 × 7 = 252
22 × 5 × 13 = 260
2 × 33 × 5 = 270
3 × 7 × 13 = 273
2 × 11 × 13 = 286
33 × 11 = 297
22 × 7 × 11 = 308
32 × 5 × 7 = 315
22 × 34 = 324
2 × 3 × 5 × 11 = 330
33 × 13 = 351
22 × 7 × 13 = 364
2 × 33 × 7 = 378
5 × 7 × 11 = 385
2 × 3 × 5 × 13 = 390
22 × 32 × 11 = 396
34 × 5 = 405
22 × 3 × 5 × 7 = 420
3 × 11 × 13 = 429
5 × 7 × 13 = 455
2 × 3 × 7 × 11 = 462
22 × 32 × 13 = 468
32 × 5 × 11 = 495
22 × 33 × 5 = 540
2 × 3 × 7 × 13 = 546
34 × 7 = 567
22 × 11 × 13 = 572
32 × 5 × 13 = 585
2 × 33 × 11 = 594
2 × 32 × 5 × 7 = 630
22 × 3 × 5 × 11 = 660
32 × 7 × 11 = 693
2 × 33 × 13 = 702
5 × 11 × 13 = 715
22 × 33 × 7 = 756
2 × 5 × 7 × 11 = 770
22 × 3 × 5 × 13 = 780
2 × 34 × 5 = 810
32 × 7 × 13 = 819
2 × 3 × 11 × 13 = 858
34 × 11 = 891
2 × 5 × 7 × 13 = 910
22 × 3 × 7 × 11 = 924
33 × 5 × 7 = 945
2 × 32 × 5 × 11 = 990
7 × 11 × 13 = 1,001
34 × 13 = 1,053
22 × 3 × 7 × 13 = 1,092
2 × 34 × 7 = 1,134
3 × 5 × 7 × 11 = 1,155
2 × 32 × 5 × 13 = 1,170
22 × 33 × 11 = 1,188
22 × 32 × 5 × 7 = 1,260
This list continues below...

... This list continues from above
32 × 11 × 13 = 1,287
3 × 5 × 7 × 13 = 1,365
2 × 32 × 7 × 11 = 1,386
22 × 33 × 13 = 1,404
2 × 5 × 11 × 13 = 1,430
33 × 5 × 11 = 1,485
22 × 5 × 7 × 11 = 1,540
22 × 34 × 5 = 1,620
2 × 32 × 7 × 13 = 1,638
22 × 3 × 11 × 13 = 1,716
33 × 5 × 13 = 1,755
2 × 34 × 11 = 1,782
22 × 5 × 7 × 13 = 1,820
2 × 33 × 5 × 7 = 1,890
22 × 32 × 5 × 11 = 1,980
2 × 7 × 11 × 13 = 2,002
33 × 7 × 11 = 2,079
2 × 34 × 13 = 2,106
3 × 5 × 11 × 13 = 2,145
22 × 34 × 7 = 2,268
2 × 3 × 5 × 7 × 11 = 2,310
22 × 32 × 5 × 13 = 2,340
33 × 7 × 13 = 2,457
2 × 32 × 11 × 13 = 2,574
2 × 3 × 5 × 7 × 13 = 2,730
22 × 32 × 7 × 11 = 2,772
34 × 5 × 7 = 2,835
22 × 5 × 11 × 13 = 2,860
2 × 33 × 5 × 11 = 2,970
3 × 7 × 11 × 13 = 3,003
22 × 32 × 7 × 13 = 3,276
32 × 5 × 7 × 11 = 3,465
2 × 33 × 5 × 13 = 3,510
22 × 34 × 11 = 3,564
22 × 33 × 5 × 7 = 3,780
33 × 11 × 13 = 3,861
22 × 7 × 11 × 13 = 4,004
32 × 5 × 7 × 13 = 4,095
2 × 33 × 7 × 11 = 4,158
22 × 34 × 13 = 4,212
2 × 3 × 5 × 11 × 13 = 4,290
34 × 5 × 11 = 4,455
22 × 3 × 5 × 7 × 11 = 4,620
2 × 33 × 7 × 13 = 4,914
5 × 7 × 11 × 13 = 5,005
22 × 32 × 11 × 13 = 5,148
34 × 5 × 13 = 5,265
22 × 3 × 5 × 7 × 13 = 5,460
2 × 34 × 5 × 7 = 5,670
22 × 33 × 5 × 11 = 5,940
2 × 3 × 7 × 11 × 13 = 6,006
34 × 7 × 11 = 6,237
32 × 5 × 11 × 13 = 6,435
2 × 32 × 5 × 7 × 11 = 6,930
22 × 33 × 5 × 13 = 7,020
34 × 7 × 13 = 7,371
2 × 33 × 11 × 13 = 7,722
2 × 32 × 5 × 7 × 13 = 8,190
22 × 33 × 7 × 11 = 8,316
22 × 3 × 5 × 11 × 13 = 8,580
2 × 34 × 5 × 11 = 8,910
32 × 7 × 11 × 13 = 9,009
22 × 33 × 7 × 13 = 9,828
2 × 5 × 7 × 11 × 13 = 10,010
33 × 5 × 7 × 11 = 10,395
2 × 34 × 5 × 13 = 10,530
22 × 34 × 5 × 7 = 11,340
34 × 11 × 13 = 11,583
22 × 3 × 7 × 11 × 13 = 12,012
33 × 5 × 7 × 13 = 12,285
2 × 34 × 7 × 11 = 12,474
2 × 32 × 5 × 11 × 13 = 12,870
22 × 32 × 5 × 7 × 11 = 13,860
2 × 34 × 7 × 13 = 14,742
3 × 5 × 7 × 11 × 13 = 15,015
22 × 33 × 11 × 13 = 15,444
22 × 32 × 5 × 7 × 13 = 16,380
22 × 34 × 5 × 11 = 17,820
2 × 32 × 7 × 11 × 13 = 18,018
33 × 5 × 11 × 13 = 19,305
22 × 5 × 7 × 11 × 13 = 20,020
2 × 33 × 5 × 7 × 11 = 20,790
22 × 34 × 5 × 13 = 21,060
2 × 34 × 11 × 13 = 23,166
2 × 33 × 5 × 7 × 13 = 24,570
22 × 34 × 7 × 11 = 24,948
22 × 32 × 5 × 11 × 13 = 25,740
33 × 7 × 11 × 13 = 27,027
22 × 34 × 7 × 13 = 29,484
2 × 3 × 5 × 7 × 11 × 13 = 30,030
34 × 5 × 7 × 11 = 31,185
22 × 32 × 7 × 11 × 13 = 36,036
34 × 5 × 7 × 13 = 36,855
2 × 33 × 5 × 11 × 13 = 38,610
22 × 33 × 5 × 7 × 11 = 41,580
32 × 5 × 7 × 11 × 13 = 45,045
22 × 34 × 11 × 13 = 46,332
22 × 33 × 5 × 7 × 13 = 49,140
2 × 33 × 7 × 11 × 13 = 54,054
34 × 5 × 11 × 13 = 57,915
22 × 3 × 5 × 7 × 11 × 13 = 60,060
2 × 34 × 5 × 7 × 11 = 62,370
2 × 34 × 5 × 7 × 13 = 73,710
22 × 33 × 5 × 11 × 13 = 77,220
34 × 7 × 11 × 13 = 81,081
2 × 32 × 5 × 7 × 11 × 13 = 90,090
22 × 33 × 7 × 11 × 13 = 108,108
2 × 34 × 5 × 11 × 13 = 115,830
22 × 34 × 5 × 7 × 11 = 124,740
33 × 5 × 7 × 11 × 13 = 135,135
22 × 34 × 5 × 7 × 13 = 147,420
2 × 34 × 7 × 11 × 13 = 162,162
22 × 32 × 5 × 7 × 11 × 13 = 180,180
22 × 34 × 5 × 11 × 13 = 231,660
2 × 33 × 5 × 7 × 11 × 13 = 270,270
22 × 34 × 7 × 11 × 13 = 324,324
34 × 5 × 7 × 11 × 13 = 405,405
22 × 33 × 5 × 7 × 11 × 13 = 540,540
2 × 34 × 5 × 7 × 11 × 13 = 810,810
22 × 34 × 5 × 7 × 11 × 13 = 1,621,620

The final answer:
(scroll down)

1,621,620 has 240 factors (divisors):
1; 2; 3; 4; 5; 6; 7; 9; 10; 11; 12; 13; 14; 15; 18; 20; 21; 22; 26; 27; 28; 30; 33; 35; 36; 39; 42; 44; 45; 52; 54; 55; 60; 63; 65; 66; 70; 77; 78; 81; 84; 90; 91; 99; 105; 108; 110; 117; 126; 130; 132; 135; 140; 143; 154; 156; 162; 165; 180; 182; 189; 195; 198; 210; 220; 231; 234; 252; 260; 270; 273; 286; 297; 308; 315; 324; 330; 351; 364; 378; 385; 390; 396; 405; 420; 429; 455; 462; 468; 495; 540; 546; 567; 572; 585; 594; 630; 660; 693; 702; 715; 756; 770; 780; 810; 819; 858; 891; 910; 924; 945; 990; 1,001; 1,053; 1,092; 1,134; 1,155; 1,170; 1,188; 1,260; 1,287; 1,365; 1,386; 1,404; 1,430; 1,485; 1,540; 1,620; 1,638; 1,716; 1,755; 1,782; 1,820; 1,890; 1,980; 2,002; 2,079; 2,106; 2,145; 2,268; 2,310; 2,340; 2,457; 2,574; 2,730; 2,772; 2,835; 2,860; 2,970; 3,003; 3,276; 3,465; 3,510; 3,564; 3,780; 3,861; 4,004; 4,095; 4,158; 4,212; 4,290; 4,455; 4,620; 4,914; 5,005; 5,148; 5,265; 5,460; 5,670; 5,940; 6,006; 6,237; 6,435; 6,930; 7,020; 7,371; 7,722; 8,190; 8,316; 8,580; 8,910; 9,009; 9,828; 10,010; 10,395; 10,530; 11,340; 11,583; 12,012; 12,285; 12,474; 12,870; 13,860; 14,742; 15,015; 15,444; 16,380; 17,820; 18,018; 19,305; 20,020; 20,790; 21,060; 23,166; 24,570; 24,948; 25,740; 27,027; 29,484; 30,030; 31,185; 36,036; 36,855; 38,610; 41,580; 45,045; 46,332; 49,140; 54,054; 57,915; 60,060; 62,370; 73,710; 77,220; 81,081; 90,090; 108,108; 115,830; 124,740; 135,135; 147,420; 162,162; 180,180; 231,660; 270,270; 324,324; 405,405; 540,540; 810,810 and 1,621,620
out of which 6 prime factors: 2; 3; 5; 7; 11 and 13
1,621,620 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".