Divisors of 42240: All 72 Factors

Quick Answer

42240 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 64, 66, 80, 88, 96, 110, 120, 128, 132, 160, 165, 176, 192, 220, 240, 256, 264, 320, 330, 352, 384, 440, 480, 528, 640, 660, 704, 768, 880, 960, 1056, 1280, 1320, 1408, 1760, 1920, 2112, 2640, 2816, 3520, 3840, 4224, 5280, 7040, 8448, 10560, 14080, 21120, 42240.

Sum: 147168.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

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72 divisors
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 64, 66, 80, 88, 96, 110, 120, 128, 132, 160, 165, 176, 192, 220, 240, 256, 264, 320, 330, 352, 384, 440, 480, 528, 640, 660, 704, 768, 880, 960, 1056, 1280, 1320, 1408, 1760, 1920, 2112, 2640, 2816, 3520, 3840, 4224, 5280, 7040, 8448, 10560, 14080, 21120, 42240

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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 42240

The number 42240 has 72 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  11,  12,  15,  16,  20,  22,  24,  30,  32,  33,  40,  44,  48,  55,  60,  64,  66,  80,  88,  96,  110,  120,  128,  132,  160,  165,  176,  192,  220,  240,  256,  264,  320,  330,  352,  384,  440,  480,  528,  640,  660,  704,  768,  880,  960,  1056,  1280,  1320,  1408,  1760,  1920,  2112,  2640,  2816,  3520,  3840,  4224,  5280,  7040,  8448,  10560,  14080,  21120,  42240

Divisor Pairs of 42240

Each pair multiplies to 42240:

Factor 1×Factor 2=Product
1×42240=42240
2×21120=42240
3×14080=42240
4×10560=42240
5×8448=42240
6×7040=42240
8×5280=42240
10×4224=42240
11×3840=42240
12×3520=42240
15×2816=42240
16×2640=42240
20×2112=42240
22×1920=42240
24×1760=42240
30×1408=42240
32×1320=42240
33×1280=42240
40×1056=42240
44×960=42240
48×880=42240
55×768=42240
60×704=42240
64×660=42240
66×640=42240
80×528=42240
88×480=42240
96×440=42240
110×384=42240
120×352=42240
128×330=42240
132×320=42240
160×264=42240
165×256=42240
176×240=42240
192×220=42240

Number of Divisors

The number 42240 has 72 divisors, written as τ(42240) = 72 in number theory.

Sum of Divisors

σ(42240) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 11 + 12 + 15 + 16 + 20 + 22 + 24 + 30 + 32 + 33 + 40 + 44 + 48 + 55 + 60 + 64 + 66 + 80 + 88 + 96 + 110 + 120 + 128 + 132 + 160 + 165 + 176 + 192 + 220 + 240 + 256 + 264 + 320 + 330 + 352 + 384 + 440 + 480 + 528 + 640 + 660 + 704 + 768 + 880 + 960 + 1056 + 1280 + 1320 + 1408 + 1760 + 1920 + 2112 + 2640 + 2816 + 3520 + 3840 + 4224 + 5280 + 7040 + 8448 + 10560 + 14080 + 21120 + 42240 = 147168

Prime Factorization of 42240

See the full prime factorization calculator →

Properties of 42240

  • 42240 is composite.
  • 42240 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 147168.

Common Divisors with Another Number?

Looking for the divisors that 42240 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 42240

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √42240 ≈ 205.52. If i divides 42240, then both i and 42240/i are divisors.

  1. 1 divides 42240 (42240 ÷ 1 = 42240) → pair (1, 42240)
  2. 2 divides 42240 (42240 ÷ 2 = 21120) → pair (2, 21120)
  3. 3 divides 42240 (42240 ÷ 3 = 14080) → pair (3, 14080)
  4. 4 divides 42240 (42240 ÷ 4 = 10560) → pair (4, 10560)
  5. 5 divides 42240 (42240 ÷ 5 = 8448) → pair (5, 8448)
  6. 6 divides 42240 (42240 ÷ 6 = 7040) → pair (6, 7040)
  7. 8 divides 42240 (42240 ÷ 8 = 5280) → pair (8, 5280)
  8. 10 divides 42240 (42240 ÷ 10 = 4224) → pair (10, 4224)
  9. 11 divides 42240 (42240 ÷ 11 = 3840) → pair (11, 3840)
  10. 12 divides 42240 (42240 ÷ 12 = 3520) → pair (12, 3520)
  11. 15 divides 42240 (42240 ÷ 15 = 2816) → pair (15, 2816)
  12. 16 divides 42240 (42240 ÷ 16 = 2640) → pair (16, 2640)
  13. 20 divides 42240 (42240 ÷ 20 = 2112) → pair (20, 2112)
  14. 22 divides 42240 (42240 ÷ 22 = 1920) → pair (22, 1920)
  15. 24 divides 42240 (42240 ÷ 24 = 1760) → pair (24, 1760)
  16. 30 divides 42240 (42240 ÷ 30 = 1408) → pair (30, 1408)
  17. 32 divides 42240 (42240 ÷ 32 = 1320) → pair (32, 1320)
  18. 33 divides 42240 (42240 ÷ 33 = 1280) → pair (33, 1280)
  19. 40 divides 42240 (42240 ÷ 40 = 1056) → pair (40, 1056)
  20. 44 divides 42240 (42240 ÷ 44 = 960) → pair (44, 960)
  21. 48 divides 42240 (42240 ÷ 48 = 880) → pair (48, 880)
  22. 55 divides 42240 (42240 ÷ 55 = 768) → pair (55, 768)
  23. 60 divides 42240 (42240 ÷ 60 = 704) → pair (60, 704)
  24. 64 divides 42240 (42240 ÷ 64 = 660) → pair (64, 660)
  25. 66 divides 42240 (42240 ÷ 66 = 640) → pair (66, 640)
  26. 80 divides 42240 (42240 ÷ 80 = 528) → pair (80, 528)
  27. 88 divides 42240 (42240 ÷ 88 = 480) → pair (88, 480)
  28. 96 divides 42240 (42240 ÷ 96 = 440) → pair (96, 440)
  29. 110 divides 42240 (42240 ÷ 110 = 384) → pair (110, 384)
  30. 120 divides 42240 (42240 ÷ 120 = 352) → pair (120, 352)
  31. 128 divides 42240 (42240 ÷ 128 = 330) → pair (128, 330)
  32. 132 divides 42240 (42240 ÷ 132 = 320) → pair (132, 320)
  33. 160 divides 42240 (42240 ÷ 160 = 264) → pair (160, 264)
  34. 165 divides 42240 (42240 ÷ 165 = 256) → pair (165, 256)
  35. 176 divides 42240 (42240 ÷ 176 = 240) → pair (176, 240)
  36. 192 divides 42240 (42240 ÷ 192 = 220) → pair (192, 220)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 64, 66, 80, 88, 96, 110, 120, 128, 132, 160, 165, 176, 192, 220, 240, 256, 264, 320, 330, 352, 384, 440, 480, 528, 640, 660, 704, 768, 880, 960, 1056, 1280, 1320, 1408, 1760, 1920, 2112, 2640, 2816, 3520, 3840, 4224, 5280, 7040, 8448, 10560, 14080, 21120, 42240} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 11 + 12 + 15 + 16 + 20 + 22 + 24 + 30 + 32 + 33 + 40 + 44 + 48 + 55 + 60 + 64 + 66 + 80 + 88 + 96 + 110 + 120 + 128 + 132 + 160 + 165 + 176 + 192 + 220 + 240 + 256 + 264 + 320 + 330 + 352 + 384 + 440 + 480 + 528 + 640 + 660 + 704 + 768 + 880 + 960 + 1056 + 1280 + 1320 + 1408 + 1760 + 1920 + 2112 + 2640 + 2816 + 3520 + 3840 + 4224 + 5280 + 7040 + 8448 + 10560 + 14080 + 21120 + 42240 = 147168.

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Related Operations for 42240

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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