Given the Number 13,843,440, Calculate (Find) All the Factors (All the Divisors) of the Number 13,843,440 (the Proper, the Improper and the Prime Factors)

All the factors (divisors) of the number 13,843,440

1. Carry out the prime factorization of the number 13,843,440:

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

13,843,440 = 24 × 33 × 5 × 13 × 17 × 29
13,843,440 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 13,843,440

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
23 = 8
32 = 9
2 × 5 = 10
22 × 3 = 12
prime factor = 13
3 × 5 = 15
24 = 16
prime factor = 17
2 × 32 = 18
22 × 5 = 20
23 × 3 = 24
2 × 13 = 26
33 = 27
prime factor = 29
2 × 3 × 5 = 30
2 × 17 = 34
22 × 32 = 36
3 × 13 = 39
23 × 5 = 40
32 × 5 = 45
24 × 3 = 48
3 × 17 = 51
22 × 13 = 52
2 × 33 = 54
2 × 29 = 58
22 × 3 × 5 = 60
5 × 13 = 65
22 × 17 = 68
23 × 32 = 72
2 × 3 × 13 = 78
24 × 5 = 80
5 × 17 = 85
3 × 29 = 87
2 × 32 × 5 = 90
2 × 3 × 17 = 102
23 × 13 = 104
22 × 33 = 108
22 × 29 = 116
32 × 13 = 117
23 × 3 × 5 = 120
2 × 5 × 13 = 130
33 × 5 = 135
23 × 17 = 136
24 × 32 = 144
5 × 29 = 145
32 × 17 = 153
22 × 3 × 13 = 156
2 × 5 × 17 = 170
2 × 3 × 29 = 174
22 × 32 × 5 = 180
3 × 5 × 13 = 195
22 × 3 × 17 = 204
24 × 13 = 208
23 × 33 = 216
13 × 17 = 221
23 × 29 = 232
2 × 32 × 13 = 234
24 × 3 × 5 = 240
3 × 5 × 17 = 255
22 × 5 × 13 = 260
32 × 29 = 261
2 × 33 × 5 = 270
24 × 17 = 272
2 × 5 × 29 = 290
2 × 32 × 17 = 306
23 × 3 × 13 = 312
22 × 5 × 17 = 340
22 × 3 × 29 = 348
33 × 13 = 351
23 × 32 × 5 = 360
13 × 29 = 377
2 × 3 × 5 × 13 = 390
23 × 3 × 17 = 408
24 × 33 = 432
3 × 5 × 29 = 435
2 × 13 × 17 = 442
33 × 17 = 459
24 × 29 = 464
22 × 32 × 13 = 468
17 × 29 = 493
2 × 3 × 5 × 17 = 510
23 × 5 × 13 = 520
2 × 32 × 29 = 522
22 × 33 × 5 = 540
22 × 5 × 29 = 580
32 × 5 × 13 = 585
22 × 32 × 17 = 612
24 × 3 × 13 = 624
3 × 13 × 17 = 663
23 × 5 × 17 = 680
23 × 3 × 29 = 696
2 × 33 × 13 = 702
24 × 32 × 5 = 720
2 × 13 × 29 = 754
32 × 5 × 17 = 765
22 × 3 × 5 × 13 = 780
33 × 29 = 783
24 × 3 × 17 = 816
2 × 3 × 5 × 29 = 870
22 × 13 × 17 = 884
2 × 33 × 17 = 918
23 × 32 × 13 = 936
2 × 17 × 29 = 986
22 × 3 × 5 × 17 = 1,020
24 × 5 × 13 = 1,040
22 × 32 × 29 = 1,044
23 × 33 × 5 = 1,080
5 × 13 × 17 = 1,105
3 × 13 × 29 = 1,131
23 × 5 × 29 = 1,160
2 × 32 × 5 × 13 = 1,170
23 × 32 × 17 = 1,224
32 × 5 × 29 = 1,305
2 × 3 × 13 × 17 = 1,326
24 × 5 × 17 = 1,360
24 × 3 × 29 = 1,392
22 × 33 × 13 = 1,404
3 × 17 × 29 = 1,479
22 × 13 × 29 = 1,508
2 × 32 × 5 × 17 = 1,530
23 × 3 × 5 × 13 = 1,560
2 × 33 × 29 = 1,566
22 × 3 × 5 × 29 = 1,740
33 × 5 × 13 = 1,755
23 × 13 × 17 = 1,768
22 × 33 × 17 = 1,836
24 × 32 × 13 = 1,872
5 × 13 × 29 = 1,885
22 × 17 × 29 = 1,972
32 × 13 × 17 = 1,989
23 × 3 × 5 × 17 = 2,040
23 × 32 × 29 = 2,088
24 × 33 × 5 = 2,160
2 × 5 × 13 × 17 = 2,210
2 × 3 × 13 × 29 = 2,262
33 × 5 × 17 = 2,295
24 × 5 × 29 = 2,320
22 × 32 × 5 × 13 = 2,340
24 × 32 × 17 = 2,448
5 × 17 × 29 = 2,465
2 × 32 × 5 × 29 = 2,610
22 × 3 × 13 × 17 = 2,652
23 × 33 × 13 = 2,808
2 × 3 × 17 × 29 = 2,958
23 × 13 × 29 = 3,016
22 × 32 × 5 × 17 = 3,060
24 × 3 × 5 × 13 = 3,120
22 × 33 × 29 = 3,132
3 × 5 × 13 × 17 = 3,315
32 × 13 × 29 = 3,393
23 × 3 × 5 × 29 = 3,480
2 × 33 × 5 × 13 = 3,510
24 × 13 × 17 = 3,536
23 × 33 × 17 = 3,672
This list continues below...

... This list continues from above
2 × 5 × 13 × 29 = 3,770
33 × 5 × 29 = 3,915
23 × 17 × 29 = 3,944
2 × 32 × 13 × 17 = 3,978
24 × 3 × 5 × 17 = 4,080
24 × 32 × 29 = 4,176
22 × 5 × 13 × 17 = 4,420
32 × 17 × 29 = 4,437
22 × 3 × 13 × 29 = 4,524
2 × 33 × 5 × 17 = 4,590
23 × 32 × 5 × 13 = 4,680
2 × 5 × 17 × 29 = 4,930
22 × 32 × 5 × 29 = 5,220
23 × 3 × 13 × 17 = 5,304
24 × 33 × 13 = 5,616
3 × 5 × 13 × 29 = 5,655
22 × 3 × 17 × 29 = 5,916
33 × 13 × 17 = 5,967
24 × 13 × 29 = 6,032
23 × 32 × 5 × 17 = 6,120
23 × 33 × 29 = 6,264
13 × 17 × 29 = 6,409
2 × 3 × 5 × 13 × 17 = 6,630
2 × 32 × 13 × 29 = 6,786
24 × 3 × 5 × 29 = 6,960
22 × 33 × 5 × 13 = 7,020
24 × 33 × 17 = 7,344
3 × 5 × 17 × 29 = 7,395
22 × 5 × 13 × 29 = 7,540
2 × 33 × 5 × 29 = 7,830
24 × 17 × 29 = 7,888
22 × 32 × 13 × 17 = 7,956
23 × 5 × 13 × 17 = 8,840
2 × 32 × 17 × 29 = 8,874
23 × 3 × 13 × 29 = 9,048
22 × 33 × 5 × 17 = 9,180
24 × 32 × 5 × 13 = 9,360
22 × 5 × 17 × 29 = 9,860
32 × 5 × 13 × 17 = 9,945
33 × 13 × 29 = 10,179
23 × 32 × 5 × 29 = 10,440
24 × 3 × 13 × 17 = 10,608
2 × 3 × 5 × 13 × 29 = 11,310
23 × 3 × 17 × 29 = 11,832
2 × 33 × 13 × 17 = 11,934
24 × 32 × 5 × 17 = 12,240
24 × 33 × 29 = 12,528
2 × 13 × 17 × 29 = 12,818
22 × 3 × 5 × 13 × 17 = 13,260
33 × 17 × 29 = 13,311
22 × 32 × 13 × 29 = 13,572
23 × 33 × 5 × 13 = 14,040
2 × 3 × 5 × 17 × 29 = 14,790
23 × 5 × 13 × 29 = 15,080
22 × 33 × 5 × 29 = 15,660
23 × 32 × 13 × 17 = 15,912
32 × 5 × 13 × 29 = 16,965
24 × 5 × 13 × 17 = 17,680
22 × 32 × 17 × 29 = 17,748
24 × 3 × 13 × 29 = 18,096
23 × 33 × 5 × 17 = 18,360
3 × 13 × 17 × 29 = 19,227
23 × 5 × 17 × 29 = 19,720
2 × 32 × 5 × 13 × 17 = 19,890
2 × 33 × 13 × 29 = 20,358
24 × 32 × 5 × 29 = 20,880
32 × 5 × 17 × 29 = 22,185
22 × 3 × 5 × 13 × 29 = 22,620
24 × 3 × 17 × 29 = 23,664
22 × 33 × 13 × 17 = 23,868
22 × 13 × 17 × 29 = 25,636
23 × 3 × 5 × 13 × 17 = 26,520
2 × 33 × 17 × 29 = 26,622
23 × 32 × 13 × 29 = 27,144
24 × 33 × 5 × 13 = 28,080
22 × 3 × 5 × 17 × 29 = 29,580
33 × 5 × 13 × 17 = 29,835
24 × 5 × 13 × 29 = 30,160
23 × 33 × 5 × 29 = 31,320
24 × 32 × 13 × 17 = 31,824
5 × 13 × 17 × 29 = 32,045
2 × 32 × 5 × 13 × 29 = 33,930
23 × 32 × 17 × 29 = 35,496
24 × 33 × 5 × 17 = 36,720
2 × 3 × 13 × 17 × 29 = 38,454
24 × 5 × 17 × 29 = 39,440
22 × 32 × 5 × 13 × 17 = 39,780
22 × 33 × 13 × 29 = 40,716
2 × 32 × 5 × 17 × 29 = 44,370
23 × 3 × 5 × 13 × 29 = 45,240
23 × 33 × 13 × 17 = 47,736
33 × 5 × 13 × 29 = 50,895
23 × 13 × 17 × 29 = 51,272
24 × 3 × 5 × 13 × 17 = 53,040
22 × 33 × 17 × 29 = 53,244
24 × 32 × 13 × 29 = 54,288
32 × 13 × 17 × 29 = 57,681
23 × 3 × 5 × 17 × 29 = 59,160
2 × 33 × 5 × 13 × 17 = 59,670
24 × 33 × 5 × 29 = 62,640
2 × 5 × 13 × 17 × 29 = 64,090
33 × 5 × 17 × 29 = 66,555
22 × 32 × 5 × 13 × 29 = 67,860
24 × 32 × 17 × 29 = 70,992
22 × 3 × 13 × 17 × 29 = 76,908
23 × 32 × 5 × 13 × 17 = 79,560
23 × 33 × 13 × 29 = 81,432
22 × 32 × 5 × 17 × 29 = 88,740
24 × 3 × 5 × 13 × 29 = 90,480
24 × 33 × 13 × 17 = 95,472
3 × 5 × 13 × 17 × 29 = 96,135
2 × 33 × 5 × 13 × 29 = 101,790
24 × 13 × 17 × 29 = 102,544
23 × 33 × 17 × 29 = 106,488
2 × 32 × 13 × 17 × 29 = 115,362
24 × 3 × 5 × 17 × 29 = 118,320
22 × 33 × 5 × 13 × 17 = 119,340
22 × 5 × 13 × 17 × 29 = 128,180
2 × 33 × 5 × 17 × 29 = 133,110
23 × 32 × 5 × 13 × 29 = 135,720
23 × 3 × 13 × 17 × 29 = 153,816
24 × 32 × 5 × 13 × 17 = 159,120
24 × 33 × 13 × 29 = 162,864
33 × 13 × 17 × 29 = 173,043
23 × 32 × 5 × 17 × 29 = 177,480
2 × 3 × 5 × 13 × 17 × 29 = 192,270
22 × 33 × 5 × 13 × 29 = 203,580
24 × 33 × 17 × 29 = 212,976
22 × 32 × 13 × 17 × 29 = 230,724
23 × 33 × 5 × 13 × 17 = 238,680
23 × 5 × 13 × 17 × 29 = 256,360
22 × 33 × 5 × 17 × 29 = 266,220
24 × 32 × 5 × 13 × 29 = 271,440
32 × 5 × 13 × 17 × 29 = 288,405
24 × 3 × 13 × 17 × 29 = 307,632
2 × 33 × 13 × 17 × 29 = 346,086
24 × 32 × 5 × 17 × 29 = 354,960
22 × 3 × 5 × 13 × 17 × 29 = 384,540
23 × 33 × 5 × 13 × 29 = 407,160
23 × 32 × 13 × 17 × 29 = 461,448
24 × 33 × 5 × 13 × 17 = 477,360
24 × 5 × 13 × 17 × 29 = 512,720
23 × 33 × 5 × 17 × 29 = 532,440
2 × 32 × 5 × 13 × 17 × 29 = 576,810
22 × 33 × 13 × 17 × 29 = 692,172
23 × 3 × 5 × 13 × 17 × 29 = 769,080
24 × 33 × 5 × 13 × 29 = 814,320
33 × 5 × 13 × 17 × 29 = 865,215
24 × 32 × 13 × 17 × 29 = 922,896
24 × 33 × 5 × 17 × 29 = 1,064,880
22 × 32 × 5 × 13 × 17 × 29 = 1,153,620
23 × 33 × 13 × 17 × 29 = 1,384,344
24 × 3 × 5 × 13 × 17 × 29 = 1,538,160
2 × 33 × 5 × 13 × 17 × 29 = 1,730,430
23 × 32 × 5 × 13 × 17 × 29 = 2,307,240
24 × 33 × 13 × 17 × 29 = 2,768,688
22 × 33 × 5 × 13 × 17 × 29 = 3,460,860
24 × 32 × 5 × 13 × 17 × 29 = 4,614,480
23 × 33 × 5 × 13 × 17 × 29 = 6,921,720
24 × 33 × 5 × 13 × 17 × 29 = 13,843,440

The final answer:
(scroll down)

13,843,440 has 320 factors (divisors):
1; 2; 3; 4; 5; 6; 8; 9; 10; 12; 13; 15; 16; 17; 18; 20; 24; 26; 27; 29; 30; 34; 36; 39; 40; 45; 48; 51; 52; 54; 58; 60; 65; 68; 72; 78; 80; 85; 87; 90; 102; 104; 108; 116; 117; 120; 130; 135; 136; 144; 145; 153; 156; 170; 174; 180; 195; 204; 208; 216; 221; 232; 234; 240; 255; 260; 261; 270; 272; 290; 306; 312; 340; 348; 351; 360; 377; 390; 408; 432; 435; 442; 459; 464; 468; 493; 510; 520; 522; 540; 580; 585; 612; 624; 663; 680; 696; 702; 720; 754; 765; 780; 783; 816; 870; 884; 918; 936; 986; 1,020; 1,040; 1,044; 1,080; 1,105; 1,131; 1,160; 1,170; 1,224; 1,305; 1,326; 1,360; 1,392; 1,404; 1,479; 1,508; 1,530; 1,560; 1,566; 1,740; 1,755; 1,768; 1,836; 1,872; 1,885; 1,972; 1,989; 2,040; 2,088; 2,160; 2,210; 2,262; 2,295; 2,320; 2,340; 2,448; 2,465; 2,610; 2,652; 2,808; 2,958; 3,016; 3,060; 3,120; 3,132; 3,315; 3,393; 3,480; 3,510; 3,536; 3,672; 3,770; 3,915; 3,944; 3,978; 4,080; 4,176; 4,420; 4,437; 4,524; 4,590; 4,680; 4,930; 5,220; 5,304; 5,616; 5,655; 5,916; 5,967; 6,032; 6,120; 6,264; 6,409; 6,630; 6,786; 6,960; 7,020; 7,344; 7,395; 7,540; 7,830; 7,888; 7,956; 8,840; 8,874; 9,048; 9,180; 9,360; 9,860; 9,945; 10,179; 10,440; 10,608; 11,310; 11,832; 11,934; 12,240; 12,528; 12,818; 13,260; 13,311; 13,572; 14,040; 14,790; 15,080; 15,660; 15,912; 16,965; 17,680; 17,748; 18,096; 18,360; 19,227; 19,720; 19,890; 20,358; 20,880; 22,185; 22,620; 23,664; 23,868; 25,636; 26,520; 26,622; 27,144; 28,080; 29,580; 29,835; 30,160; 31,320; 31,824; 32,045; 33,930; 35,496; 36,720; 38,454; 39,440; 39,780; 40,716; 44,370; 45,240; 47,736; 50,895; 51,272; 53,040; 53,244; 54,288; 57,681; 59,160; 59,670; 62,640; 64,090; 66,555; 67,860; 70,992; 76,908; 79,560; 81,432; 88,740; 90,480; 95,472; 96,135; 101,790; 102,544; 106,488; 115,362; 118,320; 119,340; 128,180; 133,110; 135,720; 153,816; 159,120; 162,864; 173,043; 177,480; 192,270; 203,580; 212,976; 230,724; 238,680; 256,360; 266,220; 271,440; 288,405; 307,632; 346,086; 354,960; 384,540; 407,160; 461,448; 477,360; 512,720; 532,440; 576,810; 692,172; 769,080; 814,320; 865,215; 922,896; 1,064,880; 1,153,620; 1,384,344; 1,538,160; 1,730,430; 2,307,240; 2,768,688; 3,460,860; 4,614,480; 6,921,720 and 13,843,440
out of which 6 prime factors: 2; 3; 5; 13; 17 and 29
13,843,440 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 13,843,431?

» What are all the proper, improper and prime factors (divisors) of the number 13,843,454?


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".