Divisors of 13860: All 72 Factors

Quick Answer

13860 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 28, 30, 33, 35, 36, 42, 44, 45, 55, 60, 63, 66, 70, 77, 84, 90, 99, 105, 110, 126, 132, 140, 154, 165, 180, 198, 210, 220, 231, 252, 308, 315, 330, 385, 396, 420, 462, 495, 630, 660, 693, 770, 924, 990, 1155, 1260, 1386, 1540, 1980, 2310, 2772, 3465, 4620, 6930, 13860.

Sum: 52416.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
72 divisors
1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 28, 30, 33, 35, 36, 42, 44, 45, 55, 60, 63, 66, 70, 77, 84, 90, 99, 105, 110, 126, 132, 140, 154, 165, 180, 198, 210, 220, 231, 252, 308, 315, 330, 385, 396, 420, 462, 495, 630, 660, 693, 770, 924, 990, 1155, 1260, 1386, 1540, 1980, 2310, 2772, 3465, 4620, 6930, 13860

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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 13860

The number 13860 has 72 divisors:

1,  2,  3,  4,  5,  6,  7,  9,  10,  11,  12,  14,  15,  18,  20,  21,  22,  28,  30,  33,  35,  36,  42,  44,  45,  55,  60,  63,  66,  70,  77,  84,  90,  99,  105,  110,  126,  132,  140,  154,  165,  180,  198,  210,  220,  231,  252,  308,  315,  330,  385,  396,  420,  462,  495,  630,  660,  693,  770,  924,  990,  1155,  1260,  1386,  1540,  1980,  2310,  2772,  3465,  4620,  6930,  13860

Divisor Pairs of 13860

Each pair multiplies to 13860:

Factor 1×Factor 2=Product
1×13860=13860
2×6930=13860
3×4620=13860
4×3465=13860
5×2772=13860
6×2310=13860
7×1980=13860
9×1540=13860
10×1386=13860
11×1260=13860
12×1155=13860
14×990=13860
15×924=13860
18×770=13860
20×693=13860
21×660=13860
22×630=13860
28×495=13860
30×462=13860
33×420=13860
35×396=13860
36×385=13860
42×330=13860
44×315=13860
45×308=13860
55×252=13860
60×231=13860
63×220=13860
66×210=13860
70×198=13860
77×180=13860
84×165=13860
90×154=13860
99×140=13860
105×132=13860
110×126=13860

Number of Divisors

The number 13860 has 72 divisors, written as τ(13860) = 72 in number theory.

Sum of Divisors

σ(13860) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 11 + 12 + 14 + 15 + 18 + 20 + 21 + 22 + 28 + 30 + 33 + 35 + 36 + 42 + 44 + 45 + 55 + 60 + 63 + 66 + 70 + 77 + 84 + 90 + 99 + 105 + 110 + 126 + 132 + 140 + 154 + 165 + 180 + 198 + 210 + 220 + 231 + 252 + 308 + 315 + 330 + 385 + 396 + 420 + 462 + 495 + 630 + 660 + 693 + 770 + 924 + 990 + 1155 + 1260 + 1386 + 1540 + 1980 + 2310 + 2772 + 3465 + 4620 + 6930 + 13860 = 52416

Prime Factorization of 13860

See the full prime factorization calculator →

Properties of 13860

  • 13860 is composite.
  • 13860 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 52416.

Common Divisors with Another Number?

Looking for the divisors that 13860 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 13860

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √13860 ≈ 117.73. If i divides 13860, then both i and 13860/i are divisors.

  1. 1 divides 13860 (13860 ÷ 1 = 13860) → pair (1, 13860)
  2. 2 divides 13860 (13860 ÷ 2 = 6930) → pair (2, 6930)
  3. 3 divides 13860 (13860 ÷ 3 = 4620) → pair (3, 4620)
  4. 4 divides 13860 (13860 ÷ 4 = 3465) → pair (4, 3465)
  5. 5 divides 13860 (13860 ÷ 5 = 2772) → pair (5, 2772)
  6. 6 divides 13860 (13860 ÷ 6 = 2310) → pair (6, 2310)
  7. 7 divides 13860 (13860 ÷ 7 = 1980) → pair (7, 1980)
  8. 9 divides 13860 (13860 ÷ 9 = 1540) → pair (9, 1540)
  9. 10 divides 13860 (13860 ÷ 10 = 1386) → pair (10, 1386)
  10. 11 divides 13860 (13860 ÷ 11 = 1260) → pair (11, 1260)
  11. 12 divides 13860 (13860 ÷ 12 = 1155) → pair (12, 1155)
  12. 14 divides 13860 (13860 ÷ 14 = 990) → pair (14, 990)
  13. 15 divides 13860 (13860 ÷ 15 = 924) → pair (15, 924)
  14. 18 divides 13860 (13860 ÷ 18 = 770) → pair (18, 770)
  15. 20 divides 13860 (13860 ÷ 20 = 693) → pair (20, 693)
  16. 21 divides 13860 (13860 ÷ 21 = 660) → pair (21, 660)
  17. 22 divides 13860 (13860 ÷ 22 = 630) → pair (22, 630)
  18. 28 divides 13860 (13860 ÷ 28 = 495) → pair (28, 495)
  19. 30 divides 13860 (13860 ÷ 30 = 462) → pair (30, 462)
  20. 33 divides 13860 (13860 ÷ 33 = 420) → pair (33, 420)
  21. 35 divides 13860 (13860 ÷ 35 = 396) → pair (35, 396)
  22. 36 divides 13860 (13860 ÷ 36 = 385) → pair (36, 385)
  23. 42 divides 13860 (13860 ÷ 42 = 330) → pair (42, 330)
  24. 44 divides 13860 (13860 ÷ 44 = 315) → pair (44, 315)
  25. 45 divides 13860 (13860 ÷ 45 = 308) → pair (45, 308)
  26. 55 divides 13860 (13860 ÷ 55 = 252) → pair (55, 252)
  27. 60 divides 13860 (13860 ÷ 60 = 231) → pair (60, 231)
  28. 63 divides 13860 (13860 ÷ 63 = 220) → pair (63, 220)
  29. 66 divides 13860 (13860 ÷ 66 = 210) → pair (66, 210)
  30. 70 divides 13860 (13860 ÷ 70 = 198) → pair (70, 198)
  31. 77 divides 13860 (13860 ÷ 77 = 180) → pair (77, 180)
  32. 84 divides 13860 (13860 ÷ 84 = 165) → pair (84, 165)
  33. 90 divides 13860 (13860 ÷ 90 = 154) → pair (90, 154)
  34. 99 divides 13860 (13860 ÷ 99 = 140) → pair (99, 140)
  35. 105 divides 13860 (13860 ÷ 105 = 132) → pair (105, 132)
  36. 110 divides 13860 (13860 ÷ 110 = 126) → pair (110, 126)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 28, 30, 33, 35, 36, 42, 44, 45, 55, 60, 63, 66, 70, 77, 84, 90, 99, 105, 110, 126, 132, 140, 154, 165, 180, 198, 210, 220, 231, 252, 308, 315, 330, 385, 396, 420, 462, 495, 630, 660, 693, 770, 924, 990, 1155, 1260, 1386, 1540, 1980, 2310, 2772, 3465, 4620, 6930, 13860} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 11 + 12 + 14 + 15 + 18 + 20 + 21 + 22 + 28 + 30 + 33 + 35 + 36 + 42 + 44 + 45 + 55 + 60 + 63 + 66 + 70 + 77 + 84 + 90 + 99 + 105 + 110 + 126 + 132 + 140 + 154 + 165 + 180 + 198 + 210 + 220 + 231 + 252 + 308 + 315 + 330 + 385 + 396 + 420 + 462 + 495 + 630 + 660 + 693 + 770 + 924 + 990 + 1155 + 1260 + 1386 + 1540 + 1980 + 2310 + 2772 + 3465 + 4620 + 6930 + 13860 = 52416.

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Related Operations for 13860

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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