Divisors of 9120: All 48 Factors

Quick Answer

9120 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120.

Sum: 30240.

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, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120

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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 9120

The number 9120 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  16,  19,  20,  24,  30,  32,  38,  40,  48,  57,  60,  76,  80,  95,  96,  114,  120,  152,  160,  190,  228,  240,  285,  304,  380,  456,  480,  570,  608,  760,  912,  1140,  1520,  1824,  2280,  3040,  4560,  9120

Divisor Pairs of 9120

Each pair multiplies to 9120:

Factor 1×Factor 2=Product
1×9120=9120
2×4560=9120
3×3040=9120
4×2280=9120
5×1824=9120
6×1520=9120
8×1140=9120
10×912=9120
12×760=9120
15×608=9120
16×570=9120
19×480=9120
20×456=9120
24×380=9120
30×304=9120
32×285=9120
38×240=9120
40×228=9120
48×190=9120
57×160=9120
60×152=9120
76×120=9120
80×114=9120
95×96=9120

Number of Divisors

The number 9120 has 48 divisors, written as τ(9120) = 48 in number theory.

Sum of Divisors

σ(9120) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 19 + 20 + 24 + 30 + 32 + 38 + 40 + 48 + 57 + 60 + 76 + 80 + 95 + 96 + 114 + 120 + 152 + 160 + 190 + 228 + 240 + 285 + 304 + 380 + 456 + 480 + 570 + 608 + 760 + 912 + 1140 + 1520 + 1824 + 2280 + 3040 + 4560 + 9120 = 30240

Prime Factorization of 9120

See the full prime factorization calculator →

Properties of 9120

  • 9120 is composite.
  • 9120 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 30240.

Common Divisors with Another Number?

Looking for the divisors that 9120 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 9120

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √9120 ≈ 95.50. If i divides 9120, then both i and 9120/i are divisors.

  1. 1 divides 9120 (9120 ÷ 1 = 9120) → pair (1, 9120)
  2. 2 divides 9120 (9120 ÷ 2 = 4560) → pair (2, 4560)
  3. 3 divides 9120 (9120 ÷ 3 = 3040) → pair (3, 3040)
  4. 4 divides 9120 (9120 ÷ 4 = 2280) → pair (4, 2280)
  5. 5 divides 9120 (9120 ÷ 5 = 1824) → pair (5, 1824)
  6. 6 divides 9120 (9120 ÷ 6 = 1520) → pair (6, 1520)
  7. 8 divides 9120 (9120 ÷ 8 = 1140) → pair (8, 1140)
  8. 10 divides 9120 (9120 ÷ 10 = 912) → pair (10, 912)
  9. 12 divides 9120 (9120 ÷ 12 = 760) → pair (12, 760)
  10. 15 divides 9120 (9120 ÷ 15 = 608) → pair (15, 608)
  11. 16 divides 9120 (9120 ÷ 16 = 570) → pair (16, 570)
  12. 19 divides 9120 (9120 ÷ 19 = 480) → pair (19, 480)
  13. 20 divides 9120 (9120 ÷ 20 = 456) → pair (20, 456)
  14. 24 divides 9120 (9120 ÷ 24 = 380) → pair (24, 380)
  15. 30 divides 9120 (9120 ÷ 30 = 304) → pair (30, 304)
  16. 32 divides 9120 (9120 ÷ 32 = 285) → pair (32, 285)
  17. 38 divides 9120 (9120 ÷ 38 = 240) → pair (38, 240)
  18. 40 divides 9120 (9120 ÷ 40 = 228) → pair (40, 228)
  19. 48 divides 9120 (9120 ÷ 48 = 190) → pair (48, 190)
  20. 57 divides 9120 (9120 ÷ 57 = 160) → pair (57, 160)
  21. 60 divides 9120 (9120 ÷ 60 = 152) → pair (60, 152)
  22. 76 divides 9120 (9120 ÷ 76 = 120) → pair (76, 120)
  23. 80 divides 9120 (9120 ÷ 80 = 114) → pair (80, 114)
  24. 95 divides 9120 (9120 ÷ 95 = 96) → pair (95, 96)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 19 + 20 + 24 + 30 + 32 + 38 + 40 + 48 + 57 + 60 + 76 + 80 + 95 + 96 + 114 + 120 + 152 + 160 + 190 + 228 + 240 + 285 + 304 + 380 + 456 + 480 + 570 + 608 + 760 + 912 + 1140 + 1520 + 1824 + 2280 + 3040 + 4560 + 9120 = 30240.

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Related Operations for 9120

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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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