Divisors of 36480: All 64 Factors

Divisors (Factors) Calculator

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 36480

The number 36480 has 64 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  16,  19,  20,  24,  30,  32,  38,  40,  48,  57,  60,  64,  76,  80,  95,  96,  114,  120,  128,  152,  160,  190,  192,  228,  240,  285,  304,  320,  380,  384,  456,  480,  570,  608,  640,  760,  912,  960,  1140,  1216,  1520,  1824,  1920,  2280,  2432,  3040,  3648,  4560,  6080,  7296,  9120,  12160,  18240,  36480

Divisor Pairs of 36480

Each pair multiplies to 36480:

Number of Divisors

The number 36480 has 64 divisors, written as τ(36480) = 64 in number theory.

Sum of Divisors

σ(36480) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 19 + 20 + 24 + 30 + 32 + 38 + 40 + 48 + 57 + 60 + 64 + 76 + 80 + 95 + 96 + 114 + 120 + 128 + 152 + 160 + 190 + 192 + 228 + 240 + 285 + 304 + 320 + 380 + 384 + 456 + 480 + 570 + 608 + 640 + 760 + 912 + 960 + 1140 + 1216 + 1520 + 1824 + 1920 + 2280 + 2432 + 3040 + 3648 + 4560 + 6080 + 7296 + 9120 + 12160 + 18240 + 36480 = 122400

Prime Factorization of 36480

See the full prime factorization calculator →

Properties of 36480

• 36480 is composite.
• 36480 is not a perfect square.
• Number of divisors: 64.
• Sum of divisors: 122400.

Common Divisors with Another Number?

Looking for the divisors that 36480 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 36480

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √36480 ≈ 191.00. If i divides 36480, then both i and 36480/i are divisors.

1. 1 divides 36480 (36480 ÷ 1 = 36480) → pair (1, 36480)
2. 2 divides 36480 (36480 ÷ 2 = 18240) → pair (2, 18240)
3. 3 divides 36480 (36480 ÷ 3 = 12160) → pair (3, 12160)
4. 4 divides 36480 (36480 ÷ 4 = 9120) → pair (4, 9120)
5. 5 divides 36480 (36480 ÷ 5 = 7296) → pair (5, 7296)
6. 6 divides 36480 (36480 ÷ 6 = 6080) → pair (6, 6080)
7. 8 divides 36480 (36480 ÷ 8 = 4560) → pair (8, 4560)
8. 10 divides 36480 (36480 ÷ 10 = 3648) → pair (10, 3648)
9. 12 divides 36480 (36480 ÷ 12 = 3040) → pair (12, 3040)
10. 15 divides 36480 (36480 ÷ 15 = 2432) → pair (15, 2432)
11. 16 divides 36480 (36480 ÷ 16 = 2280) → pair (16, 2280)
12. 19 divides 36480 (36480 ÷ 19 = 1920) → pair (19, 1920)
13. 20 divides 36480 (36480 ÷ 20 = 1824) → pair (20, 1824)
14. 24 divides 36480 (36480 ÷ 24 = 1520) → pair (24, 1520)
15. 30 divides 36480 (36480 ÷ 30 = 1216) → pair (30, 1216)
16. 32 divides 36480 (36480 ÷ 32 = 1140) → pair (32, 1140)
17. 38 divides 36480 (36480 ÷ 38 = 960) → pair (38, 960)
18. 40 divides 36480 (36480 ÷ 40 = 912) → pair (40, 912)
19. 48 divides 36480 (36480 ÷ 48 = 760) → pair (48, 760)
20. 57 divides 36480 (36480 ÷ 57 = 640) → pair (57, 640)
21. 60 divides 36480 (36480 ÷ 60 = 608) → pair (60, 608)
22. 64 divides 36480 (36480 ÷ 64 = 570) → pair (64, 570)
23. 76 divides 36480 (36480 ÷ 76 = 480) → pair (76, 480)
24. 80 divides 36480 (36480 ÷ 80 = 456) → pair (80, 456)
25. 95 divides 36480 (36480 ÷ 95 = 384) → pair (95, 384)
26. 96 divides 36480 (36480 ÷ 96 = 380) → pair (96, 380)
27. 114 divides 36480 (36480 ÷ 114 = 320) → pair (114, 320)
28. 120 divides 36480 (36480 ÷ 120 = 304) → pair (120, 304)
29. 128 divides 36480 (36480 ÷ 128 = 285) → pair (128, 285)
30. 152 divides 36480 (36480 ÷ 152 = 240) → pair (152, 240)
31. 160 divides 36480 (36480 ÷ 160 = 228) → pair (160, 228)
32. 190 divides 36480 (36480 ÷ 190 = 192) → pair (190, 192)
33. 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, 64, 76, 80, 95, 96, 114, 120, 128, 152, 160, 190, 192, 228, 240, 285, 304, 320, 380, 384, 456, 480, 570, 608, 640, 760, 912, 960, 1140, 1216, 1520, 1824, 1920, 2280, 2432, 3040, 3648, 4560, 6080, 7296, 9120, 12160, 18240, 36480} — total 64 divisors.
34. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 19 + 20 + 24 + 30 + 32 + 38 + 40 + 48 + 57 + 60 + 64 + 76 + 80 + 95 + 96 + 114 + 120 + 128 + 152 + 160 + 190 + 192 + 228 + 240 + 285 + 304 + 320 + 380 + 384 + 456 + 480 + 570 + 608 + 640 + 760 + 912 + 960 + 1140 + 1216 + 1520 + 1824 + 1920 + 2280 + 2432 + 3040 + 3648 + 4560 + 6080 + 7296 + 9120 + 12160 + 18240 + 36480 = 122400.

Nearby Examples

Related Operations for 36480

• Multiples of a Number — "outward" complement of divisors
• 36480 Prime Factorization — decompose into prime building blocks
• Find GCF of 36480 and another number
• Find LCM of 36480 and another number
• Is 36480 a perfect square? (odd divisor count ⇔ yes)

See also our tables of divisors:

• Table of all divisors from 1 to 100
• Table of all divisors from 1 to 500
• Table of all divisors from 1 to 1,000
• Table of all divisors from 1 to 10,000

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

• [1] Divisor (Wikipedia)
• [2] Divisor function (Wikipedia)
• [3] Divisor (Wolfram MathWorld)

Divisors Calculation Examples

Find all divisors of these numbers: