Divisors of 11160: All 48 Factors

Quick Answer

11160 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 31, 36, 40, 45, 60, 62, 72, 90, 93, 120, 124, 155, 180, 186, 248, 279, 310, 360, 372, 465, 558, 620, 744, 930, 1116, 1240, 1395, 1860, 2232, 2790, 3720, 5580, 11160.

Sum: 37440.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 31, 36, 40, 45, 60, 62, 72, 90, 93, 120, 124, 155, 180, 186, 248, 279, 310, 360, 372, 465, 558, 620, 744, 930, 1116, 1240, 1395, 1860, 2232, 2790, 3720, 5580, 11160

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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 11160

The number 11160 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  18,  20,  24,  30,  31,  36,  40,  45,  60,  62,  72,  90,  93,  120,  124,  155,  180,  186,  248,  279,  310,  360,  372,  465,  558,  620,  744,  930,  1116,  1240,  1395,  1860,  2232,  2790,  3720,  5580,  11160

Divisor Pairs of 11160

Each pair multiplies to 11160:

Factor 1×Factor 2=Product
1×11160=11160
2×5580=11160
3×3720=11160
4×2790=11160
5×2232=11160
6×1860=11160
8×1395=11160
9×1240=11160
10×1116=11160
12×930=11160
15×744=11160
18×620=11160
20×558=11160
24×465=11160
30×372=11160
31×360=11160
36×310=11160
40×279=11160
45×248=11160
60×186=11160
62×180=11160
72×155=11160
90×124=11160
93×120=11160

Number of Divisors

The number 11160 has 48 divisors, written as τ(11160) = 48 in number theory.

Sum of Divisors

σ(11160) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 31 + 36 + 40 + 45 + 60 + 62 + 72 + 90 + 93 + 120 + 124 + 155 + 180 + 186 + 248 + 279 + 310 + 360 + 372 + 465 + 558 + 620 + 744 + 930 + 1116 + 1240 + 1395 + 1860 + 2232 + 2790 + 3720 + 5580 + 11160 = 37440

Prime Factorization of 11160

See the full prime factorization calculator →

Properties of 11160

  • 11160 is composite.
  • 11160 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 37440.

Common Divisors with Another Number?

Looking for the divisors that 11160 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 11160

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √11160 ≈ 105.64. If i divides 11160, then both i and 11160/i are divisors.

  1. 1 divides 11160 (11160 ÷ 1 = 11160) → pair (1, 11160)
  2. 2 divides 11160 (11160 ÷ 2 = 5580) → pair (2, 5580)
  3. 3 divides 11160 (11160 ÷ 3 = 3720) → pair (3, 3720)
  4. 4 divides 11160 (11160 ÷ 4 = 2790) → pair (4, 2790)
  5. 5 divides 11160 (11160 ÷ 5 = 2232) → pair (5, 2232)
  6. 6 divides 11160 (11160 ÷ 6 = 1860) → pair (6, 1860)
  7. 8 divides 11160 (11160 ÷ 8 = 1395) → pair (8, 1395)
  8. 9 divides 11160 (11160 ÷ 9 = 1240) → pair (9, 1240)
  9. 10 divides 11160 (11160 ÷ 10 = 1116) → pair (10, 1116)
  10. 12 divides 11160 (11160 ÷ 12 = 930) → pair (12, 930)
  11. 15 divides 11160 (11160 ÷ 15 = 744) → pair (15, 744)
  12. 18 divides 11160 (11160 ÷ 18 = 620) → pair (18, 620)
  13. 20 divides 11160 (11160 ÷ 20 = 558) → pair (20, 558)
  14. 24 divides 11160 (11160 ÷ 24 = 465) → pair (24, 465)
  15. 30 divides 11160 (11160 ÷ 30 = 372) → pair (30, 372)
  16. 31 divides 11160 (11160 ÷ 31 = 360) → pair (31, 360)
  17. 36 divides 11160 (11160 ÷ 36 = 310) → pair (36, 310)
  18. 40 divides 11160 (11160 ÷ 40 = 279) → pair (40, 279)
  19. 45 divides 11160 (11160 ÷ 45 = 248) → pair (45, 248)
  20. 60 divides 11160 (11160 ÷ 60 = 186) → pair (60, 186)
  21. 62 divides 11160 (11160 ÷ 62 = 180) → pair (62, 180)
  22. 72 divides 11160 (11160 ÷ 72 = 155) → pair (72, 155)
  23. 90 divides 11160 (11160 ÷ 90 = 124) → pair (90, 124)
  24. 93 divides 11160 (11160 ÷ 93 = 120) → pair (93, 120)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 31, 36, 40, 45, 60, 62, 72, 90, 93, 120, 124, 155, 180, 186, 248, 279, 310, 360, 372, 465, 558, 620, 744, 930, 1116, 1240, 1395, 1860, 2232, 2790, 3720, 5580, 11160} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 31 + 36 + 40 + 45 + 60 + 62 + 72 + 90 + 93 + 120 + 124 + 155 + 180 + 186 + 248 + 279 + 310 + 360 + 372 + 465 + 558 + 620 + 744 + 930 + 1116 + 1240 + 1395 + 1860 + 2232 + 2790 + 3720 + 5580 + 11160 = 37440.

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Related Operations for 11160

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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