Divisors of 15840: All 72 Factors

Quick Answer

15840 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 32, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 96, 99, 110, 120, 132, 144, 160, 165, 176, 180, 198, 220, 240, 264, 288, 330, 352, 360, 396, 440, 480, 495, 528, 660, 720, 792, 880, 990, 1056, 1320, 1440, 1584, 1760, 1980, 2640, 3168, 3960, 5280, 7920, 15840.

Sum: 58968.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
72 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 32, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 96, 99, 110, 120, 132, 144, 160, 165, 176, 180, 198, 220, 240, 264, 288, 330, 352, 360, 396, 440, 480, 495, 528, 660, 720, 792, 880, 990, 1056, 1320, 1440, 1584, 1760, 1980, 2640, 3168, 3960, 5280, 7920, 15840

Found an error? Contact us.

Use the calculator above to find all divisors (also called factors) of any positive integer up to 4,782,969. Beyond the divisor list, this tool also shows divisor pairs, the sum and count of divisors, prime factorization, and number properties (prime, perfect square, perfect number).

All Divisors of 15840

The number 15840 has 72 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  11,  12,  15,  16,  18,  20,  22,  24,  30,  32,  33,  36,  40,  44,  45,  48,  55,  60,  66,  72,  80,  88,  90,  96,  99,  110,  120,  132,  144,  160,  165,  176,  180,  198,  220,  240,  264,  288,  330,  352,  360,  396,  440,  480,  495,  528,  660,  720,  792,  880,  990,  1056,  1320,  1440,  1584,  1760,  1980,  2640,  3168,  3960,  5280,  7920,  15840

Divisor Pairs of 15840

Each pair multiplies to 15840:

Factor 1×Factor 2=Product
1×15840=15840
2×7920=15840
3×5280=15840
4×3960=15840
5×3168=15840
6×2640=15840
8×1980=15840
9×1760=15840
10×1584=15840
11×1440=15840
12×1320=15840
15×1056=15840
16×990=15840
18×880=15840
20×792=15840
22×720=15840
24×660=15840
30×528=15840
32×495=15840
33×480=15840
36×440=15840
40×396=15840
44×360=15840
45×352=15840
48×330=15840
55×288=15840
60×264=15840
66×240=15840
72×220=15840
80×198=15840
88×180=15840
90×176=15840
96×165=15840
99×160=15840
110×144=15840
120×132=15840

Number of Divisors

The number 15840 has 72 divisors, written as τ(15840) = 72 in number theory.

Sum of Divisors

σ(15840) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 16 + 18 + 20 + 22 + 24 + 30 + 32 + 33 + 36 + 40 + 44 + 45 + 48 + 55 + 60 + 66 + 72 + 80 + 88 + 90 + 96 + 99 + 110 + 120 + 132 + 144 + 160 + 165 + 176 + 180 + 198 + 220 + 240 + 264 + 288 + 330 + 352 + 360 + 396 + 440 + 480 + 495 + 528 + 660 + 720 + 792 + 880 + 990 + 1056 + 1320 + 1440 + 1584 + 1760 + 1980 + 2640 + 3168 + 3960 + 5280 + 7920 + 15840 = 58968

Prime Factorization of 15840

See the full prime factorization calculator →

Properties of 15840

  • 15840 is composite.
  • 15840 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 58968.

Common Divisors with Another Number?

Looking for the divisors that 15840 shares with another number? Use our Greatest Common Factor (GCF) calculator — it finds all common divisors and the largest one.

Step-by-Step: How to Find the Divisors of 15840

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √15840 ≈ 125.86. If i divides 15840, then both i and 15840/i are divisors.

  1. 1 divides 15840 (15840 ÷ 1 = 15840) → pair (1, 15840)
  2. 2 divides 15840 (15840 ÷ 2 = 7920) → pair (2, 7920)
  3. 3 divides 15840 (15840 ÷ 3 = 5280) → pair (3, 5280)
  4. 4 divides 15840 (15840 ÷ 4 = 3960) → pair (4, 3960)
  5. 5 divides 15840 (15840 ÷ 5 = 3168) → pair (5, 3168)
  6. 6 divides 15840 (15840 ÷ 6 = 2640) → pair (6, 2640)
  7. 8 divides 15840 (15840 ÷ 8 = 1980) → pair (8, 1980)
  8. 9 divides 15840 (15840 ÷ 9 = 1760) → pair (9, 1760)
  9. 10 divides 15840 (15840 ÷ 10 = 1584) → pair (10, 1584)
  10. 11 divides 15840 (15840 ÷ 11 = 1440) → pair (11, 1440)
  11. 12 divides 15840 (15840 ÷ 12 = 1320) → pair (12, 1320)
  12. 15 divides 15840 (15840 ÷ 15 = 1056) → pair (15, 1056)
  13. 16 divides 15840 (15840 ÷ 16 = 990) → pair (16, 990)
  14. 18 divides 15840 (15840 ÷ 18 = 880) → pair (18, 880)
  15. 20 divides 15840 (15840 ÷ 20 = 792) → pair (20, 792)
  16. 22 divides 15840 (15840 ÷ 22 = 720) → pair (22, 720)
  17. 24 divides 15840 (15840 ÷ 24 = 660) → pair (24, 660)
  18. 30 divides 15840 (15840 ÷ 30 = 528) → pair (30, 528)
  19. 32 divides 15840 (15840 ÷ 32 = 495) → pair (32, 495)
  20. 33 divides 15840 (15840 ÷ 33 = 480) → pair (33, 480)
  21. 36 divides 15840 (15840 ÷ 36 = 440) → pair (36, 440)
  22. 40 divides 15840 (15840 ÷ 40 = 396) → pair (40, 396)
  23. 44 divides 15840 (15840 ÷ 44 = 360) → pair (44, 360)
  24. 45 divides 15840 (15840 ÷ 45 = 352) → pair (45, 352)
  25. 48 divides 15840 (15840 ÷ 48 = 330) → pair (48, 330)
  26. 55 divides 15840 (15840 ÷ 55 = 288) → pair (55, 288)
  27. 60 divides 15840 (15840 ÷ 60 = 264) → pair (60, 264)
  28. 66 divides 15840 (15840 ÷ 66 = 240) → pair (66, 240)
  29. 72 divides 15840 (15840 ÷ 72 = 220) → pair (72, 220)
  30. 80 divides 15840 (15840 ÷ 80 = 198) → pair (80, 198)
  31. 88 divides 15840 (15840 ÷ 88 = 180) → pair (88, 180)
  32. 90 divides 15840 (15840 ÷ 90 = 176) → pair (90, 176)
  33. 96 divides 15840 (15840 ÷ 96 = 165) → pair (96, 165)
  34. 99 divides 15840 (15840 ÷ 99 = 160) → pair (99, 160)
  35. 110 divides 15840 (15840 ÷ 110 = 144) → pair (110, 144)
  36. 120 divides 15840 (15840 ÷ 120 = 132) → pair (120, 132)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 32, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 96, 99, 110, 120, 132, 144, 160, 165, 176, 180, 198, 220, 240, 264, 288, 330, 352, 360, 396, 440, 480, 495, 528, 660, 720, 792, 880, 990, 1056, 1320, 1440, 1584, 1760, 1980, 2640, 3168, 3960, 5280, 7920, 15840} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 16 + 18 + 20 + 22 + 24 + 30 + 32 + 33 + 36 + 40 + 44 + 45 + 48 + 55 + 60 + 66 + 72 + 80 + 88 + 90 + 96 + 99 + 110 + 120 + 132 + 144 + 160 + 165 + 176 + 180 + 198 + 220 + 240 + 264 + 288 + 330 + 352 + 360 + 396 + 440 + 480 + 495 + 528 + 660 + 720 + 792 + 880 + 990 + 1056 + 1320 + 1440 + 1584 + 1760 + 1980 + 2640 + 3168 + 3960 + 5280 + 7920 + 15840 = 58968.

Nearby Examples

ndivisors countsum σ(n)
360241170
24020744
18018546
14415403
12016360
1009217
9012234
8412224

Related Operations for 15840

See also our tables of divisors:

What Is a Divisor?

A divisor (also called a factor) of a positive integer n is any positive integer d such that n ÷ d has no remainder. In other words, d divides n evenly.

Every positive integer n has at least two divisors: 1 and n itself (with 1 being the trivial case of having only itself). Numbers with exactly 2 divisors are prime; numbers with 3 or more divisors are composite.

Why use this calculator? Beyond just listing divisors, this tool computes the sum σ(n), the count τ(n), prime factorization, divisor pairs (useful for visual learners and factoring problems), and detects whether n is a prime, a perfect square, or a perfect number.

References

Divisors Calculation Examples

Find all divisors of these numbers:

1,75216 div1,86212 div1,9664 div26012 div74812 div1,1858 div1,30216 div3584 div1,9708 div2,0236 div1009 div1,0308 div

Related Calculators