Divisors of 28440: All 48 Factors

Quick Answer

28440 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 79, 90, 120, 158, 180, 237, 316, 360, 395, 474, 632, 711, 790, 948, 1185, 1422, 1580, 1896, 2370, 2844, 3160, 3555, 4740, 5688, 7110, 9480, 14220, 28440.

Sum: 93600.

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, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 79, 90, 120, 158, 180, 237, 316, 360, 395, 474, 632, 711, 790, 948, 1185, 1422, 1580, 1896, 2370, 2844, 3160, 3555, 4740, 5688, 7110, 9480, 14220, 28440

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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 28440

The number 28440 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  18,  20,  24,  30,  36,  40,  45,  60,  72,  79,  90,  120,  158,  180,  237,  316,  360,  395,  474,  632,  711,  790,  948,  1185,  1422,  1580,  1896,  2370,  2844,  3160,  3555,  4740,  5688,  7110,  9480,  14220,  28440

Divisor Pairs of 28440

Each pair multiplies to 28440:

Factor 1×Factor 2=Product
1×28440=28440
2×14220=28440
3×9480=28440
4×7110=28440
5×5688=28440
6×4740=28440
8×3555=28440
9×3160=28440
10×2844=28440
12×2370=28440
15×1896=28440
18×1580=28440
20×1422=28440
24×1185=28440
30×948=28440
36×790=28440
40×711=28440
45×632=28440
60×474=28440
72×395=28440
79×360=28440
90×316=28440
120×237=28440
158×180=28440

Number of Divisors

The number 28440 has 48 divisors, written as τ(28440) = 48 in number theory.

Sum of Divisors

σ(28440) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 60 + 72 + 79 + 90 + 120 + 158 + 180 + 237 + 316 + 360 + 395 + 474 + 632 + 711 + 790 + 948 + 1185 + 1422 + 1580 + 1896 + 2370 + 2844 + 3160 + 3555 + 4740 + 5688 + 7110 + 9480 + 14220 + 28440 = 93600

Prime Factorization of 28440

See the full prime factorization calculator →

Properties of 28440

  • 28440 is composite.
  • 28440 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 93600.

Common Divisors with Another Number?

Looking for the divisors that 28440 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 28440

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √28440 ≈ 168.64. If i divides 28440, then both i and 28440/i are divisors.

  1. 1 divides 28440 (28440 ÷ 1 = 28440) → pair (1, 28440)
  2. 2 divides 28440 (28440 ÷ 2 = 14220) → pair (2, 14220)
  3. 3 divides 28440 (28440 ÷ 3 = 9480) → pair (3, 9480)
  4. 4 divides 28440 (28440 ÷ 4 = 7110) → pair (4, 7110)
  5. 5 divides 28440 (28440 ÷ 5 = 5688) → pair (5, 5688)
  6. 6 divides 28440 (28440 ÷ 6 = 4740) → pair (6, 4740)
  7. 8 divides 28440 (28440 ÷ 8 = 3555) → pair (8, 3555)
  8. 9 divides 28440 (28440 ÷ 9 = 3160) → pair (9, 3160)
  9. 10 divides 28440 (28440 ÷ 10 = 2844) → pair (10, 2844)
  10. 12 divides 28440 (28440 ÷ 12 = 2370) → pair (12, 2370)
  11. 15 divides 28440 (28440 ÷ 15 = 1896) → pair (15, 1896)
  12. 18 divides 28440 (28440 ÷ 18 = 1580) → pair (18, 1580)
  13. 20 divides 28440 (28440 ÷ 20 = 1422) → pair (20, 1422)
  14. 24 divides 28440 (28440 ÷ 24 = 1185) → pair (24, 1185)
  15. 30 divides 28440 (28440 ÷ 30 = 948) → pair (30, 948)
  16. 36 divides 28440 (28440 ÷ 36 = 790) → pair (36, 790)
  17. 40 divides 28440 (28440 ÷ 40 = 711) → pair (40, 711)
  18. 45 divides 28440 (28440 ÷ 45 = 632) → pair (45, 632)
  19. 60 divides 28440 (28440 ÷ 60 = 474) → pair (60, 474)
  20. 72 divides 28440 (28440 ÷ 72 = 395) → pair (72, 395)
  21. 79 divides 28440 (28440 ÷ 79 = 360) → pair (79, 360)
  22. 90 divides 28440 (28440 ÷ 90 = 316) → pair (90, 316)
  23. 120 divides 28440 (28440 ÷ 120 = 237) → pair (120, 237)
  24. 158 divides 28440 (28440 ÷ 158 = 180) → pair (158, 180)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 79, 90, 120, 158, 180, 237, 316, 360, 395, 474, 632, 711, 790, 948, 1185, 1422, 1580, 1896, 2370, 2844, 3160, 3555, 4740, 5688, 7110, 9480, 14220, 28440} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 60 + 72 + 79 + 90 + 120 + 158 + 180 + 237 + 316 + 360 + 395 + 474 + 632 + 711 + 790 + 948 + 1185 + 1422 + 1580 + 1896 + 2370 + 2844 + 3160 + 3555 + 4740 + 5688 + 7110 + 9480 + 14220 + 28440 = 93600.

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Related Operations for 28440

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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