Divisors of 25440: All 48 Factors

Quick Answer

25440 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 53, 60, 80, 96, 106, 120, 159, 160, 212, 240, 265, 318, 424, 480, 530, 636, 795, 848, 1060, 1272, 1590, 1696, 2120, 2544, 3180, 4240, 5088, 6360, 8480, 12720, 25440.

Sum: 81648.

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, 20, 24, 30, 32, 40, 48, 53, 60, 80, 96, 106, 120, 159, 160, 212, 240, 265, 318, 424, 480, 530, 636, 795, 848, 1060, 1272, 1590, 1696, 2120, 2544, 3180, 4240, 5088, 6360, 8480, 12720, 25440

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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 25440

The number 25440 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  16,  20,  24,  30,  32,  40,  48,  53,  60,  80,  96,  106,  120,  159,  160,  212,  240,  265,  318,  424,  480,  530,  636,  795,  848,  1060,  1272,  1590,  1696,  2120,  2544,  3180,  4240,  5088,  6360,  8480,  12720,  25440

Divisor Pairs of 25440

Each pair multiplies to 25440:

Factor 1×Factor 2=Product
1×25440=25440
2×12720=25440
3×8480=25440
4×6360=25440
5×5088=25440
6×4240=25440
8×3180=25440
10×2544=25440
12×2120=25440
15×1696=25440
16×1590=25440
20×1272=25440
24×1060=25440
30×848=25440
32×795=25440
40×636=25440
48×530=25440
53×480=25440
60×424=25440
80×318=25440
96×265=25440
106×240=25440
120×212=25440
159×160=25440

Number of Divisors

The number 25440 has 48 divisors, written as τ(25440) = 48 in number theory.

Sum of Divisors

σ(25440) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 53 + 60 + 80 + 96 + 106 + 120 + 159 + 160 + 212 + 240 + 265 + 318 + 424 + 480 + 530 + 636 + 795 + 848 + 1060 + 1272 + 1590 + 1696 + 2120 + 2544 + 3180 + 4240 + 5088 + 6360 + 8480 + 12720 + 25440 = 81648

Prime Factorization of 25440

See the full prime factorization calculator →

Properties of 25440

  • 25440 is composite.
  • 25440 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 81648.

Common Divisors with Another Number?

Looking for the divisors that 25440 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 25440

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √25440 ≈ 159.50. If i divides 25440, then both i and 25440/i are divisors.

  1. 1 divides 25440 (25440 ÷ 1 = 25440) → pair (1, 25440)
  2. 2 divides 25440 (25440 ÷ 2 = 12720) → pair (2, 12720)
  3. 3 divides 25440 (25440 ÷ 3 = 8480) → pair (3, 8480)
  4. 4 divides 25440 (25440 ÷ 4 = 6360) → pair (4, 6360)
  5. 5 divides 25440 (25440 ÷ 5 = 5088) → pair (5, 5088)
  6. 6 divides 25440 (25440 ÷ 6 = 4240) → pair (6, 4240)
  7. 8 divides 25440 (25440 ÷ 8 = 3180) → pair (8, 3180)
  8. 10 divides 25440 (25440 ÷ 10 = 2544) → pair (10, 2544)
  9. 12 divides 25440 (25440 ÷ 12 = 2120) → pair (12, 2120)
  10. 15 divides 25440 (25440 ÷ 15 = 1696) → pair (15, 1696)
  11. 16 divides 25440 (25440 ÷ 16 = 1590) → pair (16, 1590)
  12. 20 divides 25440 (25440 ÷ 20 = 1272) → pair (20, 1272)
  13. 24 divides 25440 (25440 ÷ 24 = 1060) → pair (24, 1060)
  14. 30 divides 25440 (25440 ÷ 30 = 848) → pair (30, 848)
  15. 32 divides 25440 (25440 ÷ 32 = 795) → pair (32, 795)
  16. 40 divides 25440 (25440 ÷ 40 = 636) → pair (40, 636)
  17. 48 divides 25440 (25440 ÷ 48 = 530) → pair (48, 530)
  18. 53 divides 25440 (25440 ÷ 53 = 480) → pair (53, 480)
  19. 60 divides 25440 (25440 ÷ 60 = 424) → pair (60, 424)
  20. 80 divides 25440 (25440 ÷ 80 = 318) → pair (80, 318)
  21. 96 divides 25440 (25440 ÷ 96 = 265) → pair (96, 265)
  22. 106 divides 25440 (25440 ÷ 106 = 240) → pair (106, 240)
  23. 120 divides 25440 (25440 ÷ 120 = 212) → pair (120, 212)
  24. 159 divides 25440 (25440 ÷ 159 = 160) → pair (159, 160)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 53, 60, 80, 96, 106, 120, 159, 160, 212, 240, 265, 318, 424, 480, 530, 636, 795, 848, 1060, 1272, 1590, 1696, 2120, 2544, 3180, 4240, 5088, 6360, 8480, 12720, 25440} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 53 + 60 + 80 + 96 + 106 + 120 + 159 + 160 + 212 + 240 + 265 + 318 + 424 + 480 + 530 + 636 + 795 + 848 + 1060 + 1272 + 1590 + 1696 + 2120 + 2544 + 3180 + 4240 + 5088 + 6360 + 8480 + 12720 + 25440 = 81648.

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Related Operations for 25440

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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