Divisors of 18240: All 56 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 18240

The number 18240 has 56 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,  152,  160,  190,  192,  228,  240,  285,  304,  320,  380,  456,  480,  570,  608,  760,  912,  960,  1140,  1216,  1520,  1824,  2280,  3040,  3648,  4560,  6080,  9120,  18240

Divisor Pairs of 18240

Each pair multiplies to 18240:

Number of Divisors

The number 18240 has 56 divisors, written as τ(18240) = 56 in number theory.

Sum of Divisors

σ(18240) = 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 + 152 + 160 + 190 + 192 + 228 + 240 + 285 + 304 + 320 + 380 + 456 + 480 + 570 + 608 + 760 + 912 + 960 + 1140 + 1216 + 1520 + 1824 + 2280 + 3040 + 3648 + 4560 + 6080 + 9120 + 18240 = 60960

Prime Factorization of 18240

See the full prime factorization calculator →

Properties of 18240

• 18240 is composite.
• 18240 is not a perfect square.
• Number of divisors: 56.
• Sum of divisors: 60960.

Common Divisors with Another Number?

Looking for the divisors that 18240 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 18240

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √18240 ≈ 135.06. If i divides 18240, then both i and 18240/i are divisors.

1. 1 divides 18240 (18240 ÷ 1 = 18240) → pair (1, 18240)
2. 2 divides 18240 (18240 ÷ 2 = 9120) → pair (2, 9120)
3. 3 divides 18240 (18240 ÷ 3 = 6080) → pair (3, 6080)
4. 4 divides 18240 (18240 ÷ 4 = 4560) → pair (4, 4560)
5. 5 divides 18240 (18240 ÷ 5 = 3648) → pair (5, 3648)
6. 6 divides 18240 (18240 ÷ 6 = 3040) → pair (6, 3040)
7. 8 divides 18240 (18240 ÷ 8 = 2280) → pair (8, 2280)
8. 10 divides 18240 (18240 ÷ 10 = 1824) → pair (10, 1824)
9. 12 divides 18240 (18240 ÷ 12 = 1520) → pair (12, 1520)
10. 15 divides 18240 (18240 ÷ 15 = 1216) → pair (15, 1216)
11. 16 divides 18240 (18240 ÷ 16 = 1140) → pair (16, 1140)
12. 19 divides 18240 (18240 ÷ 19 = 960) → pair (19, 960)
13. 20 divides 18240 (18240 ÷ 20 = 912) → pair (20, 912)
14. 24 divides 18240 (18240 ÷ 24 = 760) → pair (24, 760)
15. 30 divides 18240 (18240 ÷ 30 = 608) → pair (30, 608)
16. 32 divides 18240 (18240 ÷ 32 = 570) → pair (32, 570)
17. 38 divides 18240 (18240 ÷ 38 = 480) → pair (38, 480)
18. 40 divides 18240 (18240 ÷ 40 = 456) → pair (40, 456)
19. 48 divides 18240 (18240 ÷ 48 = 380) → pair (48, 380)
20. 57 divides 18240 (18240 ÷ 57 = 320) → pair (57, 320)
21. 60 divides 18240 (18240 ÷ 60 = 304) → pair (60, 304)
22. 64 divides 18240 (18240 ÷ 64 = 285) → pair (64, 285)
23. 76 divides 18240 (18240 ÷ 76 = 240) → pair (76, 240)
24. 80 divides 18240 (18240 ÷ 80 = 228) → pair (80, 228)
25. 95 divides 18240 (18240 ÷ 95 = 192) → pair (95, 192)
26. 96 divides 18240 (18240 ÷ 96 = 190) → pair (96, 190)
27. 114 divides 18240 (18240 ÷ 114 = 160) → pair (114, 160)
28. 120 divides 18240 (18240 ÷ 120 = 152) → pair (120, 152)
29. 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, 152, 160, 190, 192, 228, 240, 285, 304, 320, 380, 456, 480, 570, 608, 760, 912, 960, 1140, 1216, 1520, 1824, 2280, 3040, 3648, 4560, 6080, 9120, 18240} — total 56 divisors.
30. 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 + 152 + 160 + 190 + 192 + 228 + 240 + 285 + 304 + 320 + 380 + 456 + 480 + 570 + 608 + 760 + 912 + 960 + 1140 + 1216 + 1520 + 1824 + 2280 + 3040 + 3648 + 4560 + 6080 + 9120 + 18240 = 60960.

Nearby Examples

Related Operations for 18240

• Multiples of a Number — "outward" complement of divisors
• 18240 Prime Factorization — decompose into prime building blocks
• Find GCF of 18240 and another number
• Find LCM of 18240 and another number
• Is 18240 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: