Given the Number 4,074,840, Calculate (Find) All the Factors (All the Divisors) of the Number 4,074,840 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 4,074,840

1. Carry out the prime factorization of the number 4,074,840:

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

4,074,840 = 23 × 33 × 5 × 73 × 11
4,074,840 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 4,074,840

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
23 = 8
32 = 9
2 × 5 = 10
prime factor = 11
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
3 × 11 = 33
5 × 7 = 35
22 × 32 = 36
23 × 5 = 40
2 × 3 × 7 = 42
22 × 11 = 44
32 × 5 = 45
72 = 49
2 × 33 = 54
5 × 11 = 55
23 × 7 = 56
22 × 3 × 5 = 60
32 × 7 = 63
2 × 3 × 11 = 66
2 × 5 × 7 = 70
23 × 32 = 72
7 × 11 = 77
22 × 3 × 7 = 84
23 × 11 = 88
2 × 32 × 5 = 90
2 × 72 = 98
32 × 11 = 99
3 × 5 × 7 = 105
22 × 33 = 108
2 × 5 × 11 = 110
23 × 3 × 5 = 120
2 × 32 × 7 = 126
22 × 3 × 11 = 132
33 × 5 = 135
22 × 5 × 7 = 140
3 × 72 = 147
2 × 7 × 11 = 154
3 × 5 × 11 = 165
23 × 3 × 7 = 168
22 × 32 × 5 = 180
33 × 7 = 189
22 × 72 = 196
2 × 32 × 11 = 198
2 × 3 × 5 × 7 = 210
23 × 33 = 216
22 × 5 × 11 = 220
3 × 7 × 11 = 231
5 × 72 = 245
22 × 32 × 7 = 252
23 × 3 × 11 = 264
2 × 33 × 5 = 270
23 × 5 × 7 = 280
2 × 3 × 72 = 294
33 × 11 = 297
22 × 7 × 11 = 308
32 × 5 × 7 = 315
2 × 3 × 5 × 11 = 330
73 = 343
23 × 32 × 5 = 360
2 × 33 × 7 = 378
5 × 7 × 11 = 385
23 × 72 = 392
22 × 32 × 11 = 396
22 × 3 × 5 × 7 = 420
23 × 5 × 11 = 440
32 × 72 = 441
2 × 3 × 7 × 11 = 462
2 × 5 × 72 = 490
32 × 5 × 11 = 495
23 × 32 × 7 = 504
72 × 11 = 539
22 × 33 × 5 = 540
22 × 3 × 72 = 588
2 × 33 × 11 = 594
23 × 7 × 11 = 616
2 × 32 × 5 × 7 = 630
22 × 3 × 5 × 11 = 660
2 × 73 = 686
32 × 7 × 11 = 693
3 × 5 × 72 = 735
22 × 33 × 7 = 756
2 × 5 × 7 × 11 = 770
23 × 32 × 11 = 792
23 × 3 × 5 × 7 = 840
2 × 32 × 72 = 882
22 × 3 × 7 × 11 = 924
33 × 5 × 7 = 945
22 × 5 × 72 = 980
2 × 32 × 5 × 11 = 990
3 × 73 = 1,029
2 × 72 × 11 = 1,078
23 × 33 × 5 = 1,080
3 × 5 × 7 × 11 = 1,155
23 × 3 × 72 = 1,176
22 × 33 × 11 = 1,188
22 × 32 × 5 × 7 = 1,260
23 × 3 × 5 × 11 = 1,320
33 × 72 = 1,323
22 × 73 = 1,372
2 × 32 × 7 × 11 = 1,386
2 × 3 × 5 × 72 = 1,470
33 × 5 × 11 = 1,485
23 × 33 × 7 = 1,512
22 × 5 × 7 × 11 = 1,540
3 × 72 × 11 = 1,617
5 × 73 = 1,715
22 × 32 × 72 = 1,764
23 × 3 × 7 × 11 = 1,848
2 × 33 × 5 × 7 = 1,890
23 × 5 × 72 = 1,960
22 × 32 × 5 × 11 = 1,980
This list continues below...

... This list continues from above
2 × 3 × 73 = 2,058
33 × 7 × 11 = 2,079
22 × 72 × 11 = 2,156
32 × 5 × 72 = 2,205
2 × 3 × 5 × 7 × 11 = 2,310
23 × 33 × 11 = 2,376
23 × 32 × 5 × 7 = 2,520
2 × 33 × 72 = 2,646
5 × 72 × 11 = 2,695
23 × 73 = 2,744
22 × 32 × 7 × 11 = 2,772
22 × 3 × 5 × 72 = 2,940
2 × 33 × 5 × 11 = 2,970
23 × 5 × 7 × 11 = 3,080
32 × 73 = 3,087
2 × 3 × 72 × 11 = 3,234
2 × 5 × 73 = 3,430
32 × 5 × 7 × 11 = 3,465
23 × 32 × 72 = 3,528
73 × 11 = 3,773
22 × 33 × 5 × 7 = 3,780
23 × 32 × 5 × 11 = 3,960
22 × 3 × 73 = 4,116
2 × 33 × 7 × 11 = 4,158
23 × 72 × 11 = 4,312
2 × 32 × 5 × 72 = 4,410
22 × 3 × 5 × 7 × 11 = 4,620
32 × 72 × 11 = 4,851
3 × 5 × 73 = 5,145
22 × 33 × 72 = 5,292
2 × 5 × 72 × 11 = 5,390
23 × 32 × 7 × 11 = 5,544
23 × 3 × 5 × 72 = 5,880
22 × 33 × 5 × 11 = 5,940
2 × 32 × 73 = 6,174
22 × 3 × 72 × 11 = 6,468
33 × 5 × 72 = 6,615
22 × 5 × 73 = 6,860
2 × 32 × 5 × 7 × 11 = 6,930
2 × 73 × 11 = 7,546
23 × 33 × 5 × 7 = 7,560
3 × 5 × 72 × 11 = 8,085
23 × 3 × 73 = 8,232
22 × 33 × 7 × 11 = 8,316
22 × 32 × 5 × 72 = 8,820
23 × 3 × 5 × 7 × 11 = 9,240
33 × 73 = 9,261
2 × 32 × 72 × 11 = 9,702
2 × 3 × 5 × 73 = 10,290
33 × 5 × 7 × 11 = 10,395
23 × 33 × 72 = 10,584
22 × 5 × 72 × 11 = 10,780
3 × 73 × 11 = 11,319
23 × 33 × 5 × 11 = 11,880
22 × 32 × 73 = 12,348
23 × 3 × 72 × 11 = 12,936
2 × 33 × 5 × 72 = 13,230
23 × 5 × 73 = 13,720
22 × 32 × 5 × 7 × 11 = 13,860
33 × 72 × 11 = 14,553
22 × 73 × 11 = 15,092
32 × 5 × 73 = 15,435
2 × 3 × 5 × 72 × 11 = 16,170
23 × 33 × 7 × 11 = 16,632
23 × 32 × 5 × 72 = 17,640
2 × 33 × 73 = 18,522
5 × 73 × 11 = 18,865
22 × 32 × 72 × 11 = 19,404
22 × 3 × 5 × 73 = 20,580
2 × 33 × 5 × 7 × 11 = 20,790
23 × 5 × 72 × 11 = 21,560
2 × 3 × 73 × 11 = 22,638
32 × 5 × 72 × 11 = 24,255
23 × 32 × 73 = 24,696
22 × 33 × 5 × 72 = 26,460
23 × 32 × 5 × 7 × 11 = 27,720
2 × 33 × 72 × 11 = 29,106
23 × 73 × 11 = 30,184
2 × 32 × 5 × 73 = 30,870
22 × 3 × 5 × 72 × 11 = 32,340
32 × 73 × 11 = 33,957
22 × 33 × 73 = 37,044
2 × 5 × 73 × 11 = 37,730
23 × 32 × 72 × 11 = 38,808
23 × 3 × 5 × 73 = 41,160
22 × 33 × 5 × 7 × 11 = 41,580
22 × 3 × 73 × 11 = 45,276
33 × 5 × 73 = 46,305
2 × 32 × 5 × 72 × 11 = 48,510
23 × 33 × 5 × 72 = 52,920
3 × 5 × 73 × 11 = 56,595
22 × 33 × 72 × 11 = 58,212
22 × 32 × 5 × 73 = 61,740
23 × 3 × 5 × 72 × 11 = 64,680
2 × 32 × 73 × 11 = 67,914
33 × 5 × 72 × 11 = 72,765
23 × 33 × 73 = 74,088
22 × 5 × 73 × 11 = 75,460
23 × 33 × 5 × 7 × 11 = 83,160
23 × 3 × 73 × 11 = 90,552
2 × 33 × 5 × 73 = 92,610
22 × 32 × 5 × 72 × 11 = 97,020
33 × 73 × 11 = 101,871
2 × 3 × 5 × 73 × 11 = 113,190
23 × 33 × 72 × 11 = 116,424
23 × 32 × 5 × 73 = 123,480
22 × 32 × 73 × 11 = 135,828
2 × 33 × 5 × 72 × 11 = 145,530
23 × 5 × 73 × 11 = 150,920
32 × 5 × 73 × 11 = 169,785
22 × 33 × 5 × 73 = 185,220
23 × 32 × 5 × 72 × 11 = 194,040
2 × 33 × 73 × 11 = 203,742
22 × 3 × 5 × 73 × 11 = 226,380
23 × 32 × 73 × 11 = 271,656
22 × 33 × 5 × 72 × 11 = 291,060
2 × 32 × 5 × 73 × 11 = 339,570
23 × 33 × 5 × 73 = 370,440
22 × 33 × 73 × 11 = 407,484
23 × 3 × 5 × 73 × 11 = 452,760
33 × 5 × 73 × 11 = 509,355
23 × 33 × 5 × 72 × 11 = 582,120
22 × 32 × 5 × 73 × 11 = 679,140
23 × 33 × 73 × 11 = 814,968
2 × 33 × 5 × 73 × 11 = 1,018,710
23 × 32 × 5 × 73 × 11 = 1,358,280
22 × 33 × 5 × 73 × 11 = 2,037,420
23 × 33 × 5 × 73 × 11 = 4,074,840

The final answer:
(scroll down)

4,074,840 has 256 factors (divisors):
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11; 12; 14; 15; 18; 20; 21; 22; 24; 27; 28; 30; 33; 35; 36; 40; 42; 44; 45; 49; 54; 55; 56; 60; 63; 66; 70; 72; 77; 84; 88; 90; 98; 99; 105; 108; 110; 120; 126; 132; 135; 140; 147; 154; 165; 168; 180; 189; 196; 198; 210; 216; 220; 231; 245; 252; 264; 270; 280; 294; 297; 308; 315; 330; 343; 360; 378; 385; 392; 396; 420; 440; 441; 462; 490; 495; 504; 539; 540; 588; 594; 616; 630; 660; 686; 693; 735; 756; 770; 792; 840; 882; 924; 945; 980; 990; 1,029; 1,078; 1,080; 1,155; 1,176; 1,188; 1,260; 1,320; 1,323; 1,372; 1,386; 1,470; 1,485; 1,512; 1,540; 1,617; 1,715; 1,764; 1,848; 1,890; 1,960; 1,980; 2,058; 2,079; 2,156; 2,205; 2,310; 2,376; 2,520; 2,646; 2,695; 2,744; 2,772; 2,940; 2,970; 3,080; 3,087; 3,234; 3,430; 3,465; 3,528; 3,773; 3,780; 3,960; 4,116; 4,158; 4,312; 4,410; 4,620; 4,851; 5,145; 5,292; 5,390; 5,544; 5,880; 5,940; 6,174; 6,468; 6,615; 6,860; 6,930; 7,546; 7,560; 8,085; 8,232; 8,316; 8,820; 9,240; 9,261; 9,702; 10,290; 10,395; 10,584; 10,780; 11,319; 11,880; 12,348; 12,936; 13,230; 13,720; 13,860; 14,553; 15,092; 15,435; 16,170; 16,632; 17,640; 18,522; 18,865; 19,404; 20,580; 20,790; 21,560; 22,638; 24,255; 24,696; 26,460; 27,720; 29,106; 30,184; 30,870; 32,340; 33,957; 37,044; 37,730; 38,808; 41,160; 41,580; 45,276; 46,305; 48,510; 52,920; 56,595; 58,212; 61,740; 64,680; 67,914; 72,765; 74,088; 75,460; 83,160; 90,552; 92,610; 97,020; 101,871; 113,190; 116,424; 123,480; 135,828; 145,530; 150,920; 169,785; 185,220; 194,040; 203,742; 226,380; 271,656; 291,060; 339,570; 370,440; 407,484; 452,760; 509,355; 582,120; 679,140; 814,968; 1,018,710; 1,358,280; 2,037,420 and 4,074,840
out of which 5 prime factors: 2; 3; 5; 7 and 11
4,074,840 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 4,074,836?

» What are all the proper, improper and prime factors (divisors) of the number 4,074,846?


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 4,074,840? How to calculate them? May 12 15:44 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 7,319,520? How to calculate them? May 12 15:44 UTC (GMT)
What are all the common factors (all the divisors and the prime factors) of the numbers 276,680 and 1,175,890? How to calculate them? May 12 15:44 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 76,882,820? How to calculate them? May 12 15:44 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 29,876,540? How to calculate them? May 12 15:44 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 16,033,923? How to calculate them? May 12 15:44 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 1,144,442? How to calculate them? May 12 15:44 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 400,969,158? How to calculate them? May 12 15:44 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 957,531? How to calculate them? May 12 15:44 UTC (GMT)
What are all the proper, improper and prime factors (all the divisors) of the number 4,287,345? How to calculate them? May 12 15:44 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".