Divisors of 27840: 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 27840

The number 27840 has 56 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  16,  20,  24,  29,  30,  32,  40,  48,  58,  60,  64,  80,  87,  96,  116,  120,  145,  160,  174,  192,  232,  240,  290,  320,  348,  435,  464,  480,  580,  696,  870,  928,  960,  1160,  1392,  1740,  1856,  2320,  2784,  3480,  4640,  5568,  6960,  9280,  13920,  27840

Divisor Pairs of 27840

Each pair multiplies to 27840:

Number of Divisors

The number 27840 has 56 divisors, written as τ(27840) = 56 in number theory.

Sum of Divisors

σ(27840) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 29 + 30 + 32 + 40 + 48 + 58 + 60 + 64 + 80 + 87 + 96 + 116 + 120 + 145 + 160 + 174 + 192 + 232 + 240 + 290 + 320 + 348 + 435 + 464 + 480 + 580 + 696 + 870 + 928 + 960 + 1160 + 1392 + 1740 + 1856 + 2320 + 2784 + 3480 + 4640 + 5568 + 6960 + 9280 + 13920 + 27840 = 91440

Prime Factorization of 27840

See the full prime factorization calculator →

Properties of 27840

• 27840 is composite.
• 27840 is not a perfect square.
• Number of divisors: 56.
• Sum of divisors: 91440.

Common Divisors with Another Number?

Looking for the divisors that 27840 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 27840

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √27840 ≈ 166.85. If i divides 27840, then both i and 27840/i are divisors.

1. 1 divides 27840 (27840 ÷ 1 = 27840) → pair (1, 27840)
2. 2 divides 27840 (27840 ÷ 2 = 13920) → pair (2, 13920)
3. 3 divides 27840 (27840 ÷ 3 = 9280) → pair (3, 9280)
4. 4 divides 27840 (27840 ÷ 4 = 6960) → pair (4, 6960)
5. 5 divides 27840 (27840 ÷ 5 = 5568) → pair (5, 5568)
6. 6 divides 27840 (27840 ÷ 6 = 4640) → pair (6, 4640)
7. 8 divides 27840 (27840 ÷ 8 = 3480) → pair (8, 3480)
8. 10 divides 27840 (27840 ÷ 10 = 2784) → pair (10, 2784)
9. 12 divides 27840 (27840 ÷ 12 = 2320) → pair (12, 2320)
10. 15 divides 27840 (27840 ÷ 15 = 1856) → pair (15, 1856)
11. 16 divides 27840 (27840 ÷ 16 = 1740) → pair (16, 1740)
12. 20 divides 27840 (27840 ÷ 20 = 1392) → pair (20, 1392)
13. 24 divides 27840 (27840 ÷ 24 = 1160) → pair (24, 1160)
14. 29 divides 27840 (27840 ÷ 29 = 960) → pair (29, 960)
15. 30 divides 27840 (27840 ÷ 30 = 928) → pair (30, 928)
16. 32 divides 27840 (27840 ÷ 32 = 870) → pair (32, 870)
17. 40 divides 27840 (27840 ÷ 40 = 696) → pair (40, 696)
18. 48 divides 27840 (27840 ÷ 48 = 580) → pair (48, 580)
19. 58 divides 27840 (27840 ÷ 58 = 480) → pair (58, 480)
20. 60 divides 27840 (27840 ÷ 60 = 464) → pair (60, 464)
21. 64 divides 27840 (27840 ÷ 64 = 435) → pair (64, 435)
22. 80 divides 27840 (27840 ÷ 80 = 348) → pair (80, 348)
23. 87 divides 27840 (27840 ÷ 87 = 320) → pair (87, 320)
24. 96 divides 27840 (27840 ÷ 96 = 290) → pair (96, 290)
25. 116 divides 27840 (27840 ÷ 116 = 240) → pair (116, 240)
26. 120 divides 27840 (27840 ÷ 120 = 232) → pair (120, 232)
27. 145 divides 27840 (27840 ÷ 145 = 192) → pair (145, 192)
28. 160 divides 27840 (27840 ÷ 160 = 174) → pair (160, 174)
29. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 29, 30, 32, 40, 48, 58, 60, 64, 80, 87, 96, 116, 120, 145, 160, 174, 192, 232, 240, 290, 320, 348, 435, 464, 480, 580, 696, 870, 928, 960, 1160, 1392, 1740, 1856, 2320, 2784, 3480, 4640, 5568, 6960, 9280, 13920, 27840} — total 56 divisors.
30. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 29 + 30 + 32 + 40 + 48 + 58 + 60 + 64 + 80 + 87 + 96 + 116 + 120 + 145 + 160 + 174 + 192 + 232 + 240 + 290 + 320 + 348 + 435 + 464 + 480 + 580 + 696 + 870 + 928 + 960 + 1160 + 1392 + 1740 + 1856 + 2320 + 2784 + 3480 + 4640 + 5568 + 6960 + 9280 + 13920 + 27840 = 91440.

Nearby Examples

Related Operations for 27840

• Multiples of a Number — "outward" complement of divisors
• 27840 Prime Factorization — decompose into prime building blocks
• Find GCF of 27840 and another number
• Find LCM of 27840 and another number
• Is 27840 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

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