Divisors of 23940: All 72 Factors

Quick Answer

23940 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 19, 20, 21, 28, 30, 35, 36, 38, 42, 45, 57, 60, 63, 70, 76, 84, 90, 95, 105, 114, 126, 133, 140, 171, 180, 190, 210, 228, 252, 266, 285, 315, 342, 380, 399, 420, 532, 570, 630, 665, 684, 798, 855, 1140, 1197, 1260, 1330, 1596, 1710, 1995, 2394, 2660, 3420, 3990, 4788, 5985, 7980, 11970, 23940.

Sum: 87360.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

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72 divisors
1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 19, 20, 21, 28, 30, 35, 36, 38, 42, 45, 57, 60, 63, 70, 76, 84, 90, 95, 105, 114, 126, 133, 140, 171, 180, 190, 210, 228, 252, 266, 285, 315, 342, 380, 399, 420, 532, 570, 630, 665, 684, 798, 855, 1140, 1197, 1260, 1330, 1596, 1710, 1995, 2394, 2660, 3420, 3990, 4788, 5985, 7980, 11970, 23940

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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 23940

The number 23940 has 72 divisors:

1,  2,  3,  4,  5,  6,  7,  9,  10,  12,  14,  15,  18,  19,  20,  21,  28,  30,  35,  36,  38,  42,  45,  57,  60,  63,  70,  76,  84,  90,  95,  105,  114,  126,  133,  140,  171,  180,  190,  210,  228,  252,  266,  285,  315,  342,  380,  399,  420,  532,  570,  630,  665,  684,  798,  855,  1140,  1197,  1260,  1330,  1596,  1710,  1995,  2394,  2660,  3420,  3990,  4788,  5985,  7980,  11970,  23940

Divisor Pairs of 23940

Each pair multiplies to 23940:

Factor 1×Factor 2=Product
1×23940=23940
2×11970=23940
3×7980=23940
4×5985=23940
5×4788=23940
6×3990=23940
7×3420=23940
9×2660=23940
10×2394=23940
12×1995=23940
14×1710=23940
15×1596=23940
18×1330=23940
19×1260=23940
20×1197=23940
21×1140=23940
28×855=23940
30×798=23940
35×684=23940
36×665=23940
38×630=23940
42×570=23940
45×532=23940
57×420=23940
60×399=23940
63×380=23940
70×342=23940
76×315=23940
84×285=23940
90×266=23940
95×252=23940
105×228=23940
114×210=23940
126×190=23940
133×180=23940
140×171=23940

Number of Divisors

The number 23940 has 72 divisors, written as τ(23940) = 72 in number theory.

Sum of Divisors

σ(23940) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 14 + 15 + 18 + 19 + 20 + 21 + 28 + 30 + 35 + 36 + 38 + 42 + 45 + 57 + 60 + 63 + 70 + 76 + 84 + 90 + 95 + 105 + 114 + 126 + 133 + 140 + 171 + 180 + 190 + 210 + 228 + 252 + 266 + 285 + 315 + 342 + 380 + 399 + 420 + 532 + 570 + 630 + 665 + 684 + 798 + 855 + 1140 + 1197 + 1260 + 1330 + 1596 + 1710 + 1995 + 2394 + 2660 + 3420 + 3990 + 4788 + 5985 + 7980 + 11970 + 23940 = 87360

Prime Factorization of 23940

See the full prime factorization calculator →

Properties of 23940

  • 23940 is composite.
  • 23940 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 87360.

Common Divisors with Another Number?

Looking for the divisors that 23940 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 23940

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √23940 ≈ 154.73. If i divides 23940, then both i and 23940/i are divisors.

  1. 1 divides 23940 (23940 ÷ 1 = 23940) → pair (1, 23940)
  2. 2 divides 23940 (23940 ÷ 2 = 11970) → pair (2, 11970)
  3. 3 divides 23940 (23940 ÷ 3 = 7980) → pair (3, 7980)
  4. 4 divides 23940 (23940 ÷ 4 = 5985) → pair (4, 5985)
  5. 5 divides 23940 (23940 ÷ 5 = 4788) → pair (5, 4788)
  6. 6 divides 23940 (23940 ÷ 6 = 3990) → pair (6, 3990)
  7. 7 divides 23940 (23940 ÷ 7 = 3420) → pair (7, 3420)
  8. 9 divides 23940 (23940 ÷ 9 = 2660) → pair (9, 2660)
  9. 10 divides 23940 (23940 ÷ 10 = 2394) → pair (10, 2394)
  10. 12 divides 23940 (23940 ÷ 12 = 1995) → pair (12, 1995)
  11. 14 divides 23940 (23940 ÷ 14 = 1710) → pair (14, 1710)
  12. 15 divides 23940 (23940 ÷ 15 = 1596) → pair (15, 1596)
  13. 18 divides 23940 (23940 ÷ 18 = 1330) → pair (18, 1330)
  14. 19 divides 23940 (23940 ÷ 19 = 1260) → pair (19, 1260)
  15. 20 divides 23940 (23940 ÷ 20 = 1197) → pair (20, 1197)
  16. 21 divides 23940 (23940 ÷ 21 = 1140) → pair (21, 1140)
  17. 28 divides 23940 (23940 ÷ 28 = 855) → pair (28, 855)
  18. 30 divides 23940 (23940 ÷ 30 = 798) → pair (30, 798)
  19. 35 divides 23940 (23940 ÷ 35 = 684) → pair (35, 684)
  20. 36 divides 23940 (23940 ÷ 36 = 665) → pair (36, 665)
  21. 38 divides 23940 (23940 ÷ 38 = 630) → pair (38, 630)
  22. 42 divides 23940 (23940 ÷ 42 = 570) → pair (42, 570)
  23. 45 divides 23940 (23940 ÷ 45 = 532) → pair (45, 532)
  24. 57 divides 23940 (23940 ÷ 57 = 420) → pair (57, 420)
  25. 60 divides 23940 (23940 ÷ 60 = 399) → pair (60, 399)
  26. 63 divides 23940 (23940 ÷ 63 = 380) → pair (63, 380)
  27. 70 divides 23940 (23940 ÷ 70 = 342) → pair (70, 342)
  28. 76 divides 23940 (23940 ÷ 76 = 315) → pair (76, 315)
  29. 84 divides 23940 (23940 ÷ 84 = 285) → pair (84, 285)
  30. 90 divides 23940 (23940 ÷ 90 = 266) → pair (90, 266)
  31. 95 divides 23940 (23940 ÷ 95 = 252) → pair (95, 252)
  32. 105 divides 23940 (23940 ÷ 105 = 228) → pair (105, 228)
  33. 114 divides 23940 (23940 ÷ 114 = 210) → pair (114, 210)
  34. 126 divides 23940 (23940 ÷ 126 = 190) → pair (126, 190)
  35. 133 divides 23940 (23940 ÷ 133 = 180) → pair (133, 180)
  36. 140 divides 23940 (23940 ÷ 140 = 171) → pair (140, 171)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 19, 20, 21, 28, 30, 35, 36, 38, 42, 45, 57, 60, 63, 70, 76, 84, 90, 95, 105, 114, 126, 133, 140, 171, 180, 190, 210, 228, 252, 266, 285, 315, 342, 380, 399, 420, 532, 570, 630, 665, 684, 798, 855, 1140, 1197, 1260, 1330, 1596, 1710, 1995, 2394, 2660, 3420, 3990, 4788, 5985, 7980, 11970, 23940} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 14 + 15 + 18 + 19 + 20 + 21 + 28 + 30 + 35 + 36 + 38 + 42 + 45 + 57 + 60 + 63 + 70 + 76 + 84 + 90 + 95 + 105 + 114 + 126 + 133 + 140 + 171 + 180 + 190 + 210 + 228 + 252 + 266 + 285 + 315 + 342 + 380 + 399 + 420 + 532 + 570 + 630 + 665 + 684 + 798 + 855 + 1140 + 1197 + 1260 + 1330 + 1596 + 1710 + 1995 + 2394 + 2660 + 3420 + 3990 + 4788 + 5985 + 7980 + 11970 + 23940 = 87360.

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Related Operations for 23940

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

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