Divisors of 24480: All 72 Factors

Quick Answer

24480 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 32, 34, 36, 40, 45, 48, 51, 60, 68, 72, 80, 85, 90, 96, 102, 120, 136, 144, 153, 160, 170, 180, 204, 240, 255, 272, 288, 306, 340, 360, 408, 480, 510, 544, 612, 680, 720, 765, 816, 1020, 1224, 1360, 1440, 1530, 1632, 2040, 2448, 2720, 3060, 4080, 4896, 6120, 8160, 12240, 24480.

Sum: 88452.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

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72 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 32, 34, 36, 40, 45, 48, 51, 60, 68, 72, 80, 85, 90, 96, 102, 120, 136, 144, 153, 160, 170, 180, 204, 240, 255, 272, 288, 306, 340, 360, 408, 480, 510, 544, 612, 680, 720, 765, 816, 1020, 1224, 1360, 1440, 1530, 1632, 2040, 2448, 2720, 3060, 4080, 4896, 6120, 8160, 12240, 24480

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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 24480

The number 24480 has 72 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  17,  18,  20,  24,  30,  32,  34,  36,  40,  45,  48,  51,  60,  68,  72,  80,  85,  90,  96,  102,  120,  136,  144,  153,  160,  170,  180,  204,  240,  255,  272,  288,  306,  340,  360,  408,  480,  510,  544,  612,  680,  720,  765,  816,  1020,  1224,  1360,  1440,  1530,  1632,  2040,  2448,  2720,  3060,  4080,  4896,  6120,  8160,  12240,  24480

Divisor Pairs of 24480

Each pair multiplies to 24480:

Factor 1×Factor 2=Product
1×24480=24480
2×12240=24480
3×8160=24480
4×6120=24480
5×4896=24480
6×4080=24480
8×3060=24480
9×2720=24480
10×2448=24480
12×2040=24480
15×1632=24480
16×1530=24480
17×1440=24480
18×1360=24480
20×1224=24480
24×1020=24480
30×816=24480
32×765=24480
34×720=24480
36×680=24480
40×612=24480
45×544=24480
48×510=24480
51×480=24480
60×408=24480
68×360=24480
72×340=24480
80×306=24480
85×288=24480
90×272=24480
96×255=24480
102×240=24480
120×204=24480
136×180=24480
144×170=24480
153×160=24480

Number of Divisors

The number 24480 has 72 divisors, written as τ(24480) = 72 in number theory.

Sum of Divisors

σ(24480) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 17 + 18 + 20 + 24 + 30 + 32 + 34 + 36 + 40 + 45 + 48 + 51 + 60 + 68 + 72 + 80 + 85 + 90 + 96 + 102 + 120 + 136 + 144 + 153 + 160 + 170 + 180 + 204 + 240 + 255 + 272 + 288 + 306 + 340 + 360 + 408 + 480 + 510 + 544 + 612 + 680 + 720 + 765 + 816 + 1020 + 1224 + 1360 + 1440 + 1530 + 1632 + 2040 + 2448 + 2720 + 3060 + 4080 + 4896 + 6120 + 8160 + 12240 + 24480 = 88452

Prime Factorization of 24480

See the full prime factorization calculator →

Properties of 24480

  • 24480 is composite.
  • 24480 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 88452.

Common Divisors with Another Number?

Looking for the divisors that 24480 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 24480

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √24480 ≈ 156.46. If i divides 24480, then both i and 24480/i are divisors.

  1. 1 divides 24480 (24480 ÷ 1 = 24480) → pair (1, 24480)
  2. 2 divides 24480 (24480 ÷ 2 = 12240) → pair (2, 12240)
  3. 3 divides 24480 (24480 ÷ 3 = 8160) → pair (3, 8160)
  4. 4 divides 24480 (24480 ÷ 4 = 6120) → pair (4, 6120)
  5. 5 divides 24480 (24480 ÷ 5 = 4896) → pair (5, 4896)
  6. 6 divides 24480 (24480 ÷ 6 = 4080) → pair (6, 4080)
  7. 8 divides 24480 (24480 ÷ 8 = 3060) → pair (8, 3060)
  8. 9 divides 24480 (24480 ÷ 9 = 2720) → pair (9, 2720)
  9. 10 divides 24480 (24480 ÷ 10 = 2448) → pair (10, 2448)
  10. 12 divides 24480 (24480 ÷ 12 = 2040) → pair (12, 2040)
  11. 15 divides 24480 (24480 ÷ 15 = 1632) → pair (15, 1632)
  12. 16 divides 24480 (24480 ÷ 16 = 1530) → pair (16, 1530)
  13. 17 divides 24480 (24480 ÷ 17 = 1440) → pair (17, 1440)
  14. 18 divides 24480 (24480 ÷ 18 = 1360) → pair (18, 1360)
  15. 20 divides 24480 (24480 ÷ 20 = 1224) → pair (20, 1224)
  16. 24 divides 24480 (24480 ÷ 24 = 1020) → pair (24, 1020)
  17. 30 divides 24480 (24480 ÷ 30 = 816) → pair (30, 816)
  18. 32 divides 24480 (24480 ÷ 32 = 765) → pair (32, 765)
  19. 34 divides 24480 (24480 ÷ 34 = 720) → pair (34, 720)
  20. 36 divides 24480 (24480 ÷ 36 = 680) → pair (36, 680)
  21. 40 divides 24480 (24480 ÷ 40 = 612) → pair (40, 612)
  22. 45 divides 24480 (24480 ÷ 45 = 544) → pair (45, 544)
  23. 48 divides 24480 (24480 ÷ 48 = 510) → pair (48, 510)
  24. 51 divides 24480 (24480 ÷ 51 = 480) → pair (51, 480)
  25. 60 divides 24480 (24480 ÷ 60 = 408) → pair (60, 408)
  26. 68 divides 24480 (24480 ÷ 68 = 360) → pair (68, 360)
  27. 72 divides 24480 (24480 ÷ 72 = 340) → pair (72, 340)
  28. 80 divides 24480 (24480 ÷ 80 = 306) → pair (80, 306)
  29. 85 divides 24480 (24480 ÷ 85 = 288) → pair (85, 288)
  30. 90 divides 24480 (24480 ÷ 90 = 272) → pair (90, 272)
  31. 96 divides 24480 (24480 ÷ 96 = 255) → pair (96, 255)
  32. 102 divides 24480 (24480 ÷ 102 = 240) → pair (102, 240)
  33. 120 divides 24480 (24480 ÷ 120 = 204) → pair (120, 204)
  34. 136 divides 24480 (24480 ÷ 136 = 180) → pair (136, 180)
  35. 144 divides 24480 (24480 ÷ 144 = 170) → pair (144, 170)
  36. 153 divides 24480 (24480 ÷ 153 = 160) → pair (153, 160)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 32, 34, 36, 40, 45, 48, 51, 60, 68, 72, 80, 85, 90, 96, 102, 120, 136, 144, 153, 160, 170, 180, 204, 240, 255, 272, 288, 306, 340, 360, 408, 480, 510, 544, 612, 680, 720, 765, 816, 1020, 1224, 1360, 1440, 1530, 1632, 2040, 2448, 2720, 3060, 4080, 4896, 6120, 8160, 12240, 24480} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 17 + 18 + 20 + 24 + 30 + 32 + 34 + 36 + 40 + 45 + 48 + 51 + 60 + 68 + 72 + 80 + 85 + 90 + 96 + 102 + 120 + 136 + 144 + 153 + 160 + 170 + 180 + 204 + 240 + 255 + 272 + 288 + 306 + 340 + 360 + 408 + 480 + 510 + 544 + 612 + 680 + 720 + 765 + 816 + 1020 + 1224 + 1360 + 1440 + 1530 + 1632 + 2040 + 2448 + 2720 + 3060 + 4080 + 4896 + 6120 + 8160 + 12240 + 24480 = 88452.

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Related Operations for 24480

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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