Divisors of 11520: All 54 Factors

Quick Answer

11520 has 54 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 256, 288, 320, 360, 384, 480, 576, 640, 720, 768, 960, 1152, 1280, 1440, 1920, 2304, 2880, 3840, 5760, 11520.

Sum: 39858.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
54 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 256, 288, 320, 360, 384, 480, 576, 640, 720, 768, 960, 1152, 1280, 1440, 1920, 2304, 2880, 3840, 5760, 11520

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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 11520

The number 11520 has 54 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  18,  20,  24,  30,  32,  36,  40,  45,  48,  60,  64,  72,  80,  90,  96,  120,  128,  144,  160,  180,  192,  240,  256,  288,  320,  360,  384,  480,  576,  640,  720,  768,  960,  1152,  1280,  1440,  1920,  2304,  2880,  3840,  5760,  11520

Divisor Pairs of 11520

Each pair multiplies to 11520:

Factor 1×Factor 2=Product
1×11520=11520
2×5760=11520
3×3840=11520
4×2880=11520
5×2304=11520
6×1920=11520
8×1440=11520
9×1280=11520
10×1152=11520
12×960=11520
15×768=11520
16×720=11520
18×640=11520
20×576=11520
24×480=11520
30×384=11520
32×360=11520
36×320=11520
40×288=11520
45×256=11520
48×240=11520
60×192=11520
64×180=11520
72×160=11520
80×144=11520
90×128=11520
96×120=11520

Number of Divisors

The number 11520 has 54 divisors, written as τ(11520) = 54 in number theory.

Sum of Divisors

σ(11520) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 32 + 36 + 40 + 45 + 48 + 60 + 64 + 72 + 80 + 90 + 96 + 120 + 128 + 144 + 160 + 180 + 192 + 240 + 256 + 288 + 320 + 360 + 384 + 480 + 576 + 640 + 720 + 768 + 960 + 1152 + 1280 + 1440 + 1920 + 2304 + 2880 + 3840 + 5760 + 11520 = 39858

Prime Factorization of 11520

See the full prime factorization calculator →

Properties of 11520

  • 11520 is composite.
  • 11520 is not a perfect square.
  • Number of divisors: 54.
  • Sum of divisors: 39858.

Common Divisors with Another Number?

Looking for the divisors that 11520 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 11520

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √11520 ≈ 107.33. If i divides 11520, then both i and 11520/i are divisors.

  1. 1 divides 11520 (11520 ÷ 1 = 11520) → pair (1, 11520)
  2. 2 divides 11520 (11520 ÷ 2 = 5760) → pair (2, 5760)
  3. 3 divides 11520 (11520 ÷ 3 = 3840) → pair (3, 3840)
  4. 4 divides 11520 (11520 ÷ 4 = 2880) → pair (4, 2880)
  5. 5 divides 11520 (11520 ÷ 5 = 2304) → pair (5, 2304)
  6. 6 divides 11520 (11520 ÷ 6 = 1920) → pair (6, 1920)
  7. 8 divides 11520 (11520 ÷ 8 = 1440) → pair (8, 1440)
  8. 9 divides 11520 (11520 ÷ 9 = 1280) → pair (9, 1280)
  9. 10 divides 11520 (11520 ÷ 10 = 1152) → pair (10, 1152)
  10. 12 divides 11520 (11520 ÷ 12 = 960) → pair (12, 960)
  11. 15 divides 11520 (11520 ÷ 15 = 768) → pair (15, 768)
  12. 16 divides 11520 (11520 ÷ 16 = 720) → pair (16, 720)
  13. 18 divides 11520 (11520 ÷ 18 = 640) → pair (18, 640)
  14. 20 divides 11520 (11520 ÷ 20 = 576) → pair (20, 576)
  15. 24 divides 11520 (11520 ÷ 24 = 480) → pair (24, 480)
  16. 30 divides 11520 (11520 ÷ 30 = 384) → pair (30, 384)
  17. 32 divides 11520 (11520 ÷ 32 = 360) → pair (32, 360)
  18. 36 divides 11520 (11520 ÷ 36 = 320) → pair (36, 320)
  19. 40 divides 11520 (11520 ÷ 40 = 288) → pair (40, 288)
  20. 45 divides 11520 (11520 ÷ 45 = 256) → pair (45, 256)
  21. 48 divides 11520 (11520 ÷ 48 = 240) → pair (48, 240)
  22. 60 divides 11520 (11520 ÷ 60 = 192) → pair (60, 192)
  23. 64 divides 11520 (11520 ÷ 64 = 180) → pair (64, 180)
  24. 72 divides 11520 (11520 ÷ 72 = 160) → pair (72, 160)
  25. 80 divides 11520 (11520 ÷ 80 = 144) → pair (80, 144)
  26. 90 divides 11520 (11520 ÷ 90 = 128) → pair (90, 128)
  27. 96 divides 11520 (11520 ÷ 96 = 120) → pair (96, 120)
  28. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 256, 288, 320, 360, 384, 480, 576, 640, 720, 768, 960, 1152, 1280, 1440, 1920, 2304, 2880, 3840, 5760, 11520} — total 54 divisors.
  29. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 32 + 36 + 40 + 45 + 48 + 60 + 64 + 72 + 80 + 90 + 96 + 120 + 128 + 144 + 160 + 180 + 192 + 240 + 256 + 288 + 320 + 360 + 384 + 480 + 576 + 640 + 720 + 768 + 960 + 1152 + 1280 + 1440 + 1920 + 2304 + 2880 + 3840 + 5760 + 11520 = 39858.

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Related Operations for 11520

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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