Divisors of 72240: All 80 Factors

Quick Answer

72240 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 43, 48, 56, 60, 70, 80, 84, 86, 105, 112, 120, 129, 140, 168, 172, 210, 215, 240, 258, 280, 301, 336, 344, 420, 430, 516, 560, 602, 645, 688, 840, 860, 903, 1032, 1204, 1290, 1505, 1680, 1720, 1806, 2064, 2408, 2580, 3010, 3440, 3612, 4515, 4816, 5160, 6020, 7224, 9030, 10320, 12040, 14448, 18060, 24080, 36120, 72240.

Sum: 261888.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
80 divisors
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 43, 48, 56, 60, 70, 80, 84, 86, 105, 112, 120, 129, 140, 168, 172, 210, 215, 240, 258, 280, 301, 336, 344, 420, 430, 516, 560, 602, 645, 688, 840, 860, 903, 1032, 1204, 1290, 1505, 1680, 1720, 1806, 2064, 2408, 2580, 3010, 3440, 3612, 4515, 4816, 5160, 6020, 7224, 9030, 10320, 12040, 14448, 18060, 24080, 36120, 72240

Found an error? Contact us.

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 72240

The number 72240 has 80 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  12,  14,  15,  16,  20,  21,  24,  28,  30,  35,  40,  42,  43,  48,  56,  60,  70,  80,  84,  86,  105,  112,  120,  129,  140,  168,  172,  210,  215,  240,  258,  280,  301,  336,  344,  420,  430,  516,  560,  602,  645,  688,  840,  860,  903,  1032,  1204,  1290,  1505,  1680,  1720,  1806,  2064,  2408,  2580,  3010,  3440,  3612,  4515,  4816,  5160,  6020,  7224,  9030,  10320,  12040,  14448,  18060,  24080,  36120,  72240

Divisor Pairs of 72240

Each pair multiplies to 72240:

Factor 1×Factor 2=Product
1×72240=72240
2×36120=72240
3×24080=72240
4×18060=72240
5×14448=72240
6×12040=72240
7×10320=72240
8×9030=72240
10×7224=72240
12×6020=72240
14×5160=72240
15×4816=72240
16×4515=72240
20×3612=72240
21×3440=72240
24×3010=72240
28×2580=72240
30×2408=72240
35×2064=72240
40×1806=72240
42×1720=72240
43×1680=72240
48×1505=72240
56×1290=72240
60×1204=72240
70×1032=72240
80×903=72240
84×860=72240
86×840=72240
105×688=72240
112×645=72240
120×602=72240
129×560=72240
140×516=72240
168×430=72240
172×420=72240
210×344=72240
215×336=72240
240×301=72240
258×280=72240

Number of Divisors

The number 72240 has 80 divisors, written as τ(72240) = 80 in number theory.

Sum of Divisors

σ(72240) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 35 + 40 + 42 + 43 + 48 + 56 + 60 + 70 + 80 + 84 + 86 + 105 + 112 + 120 + 129 + 140 + 168 + 172 + 210 + 215 + 240 + 258 + 280 + 301 + 336 + 344 + 420 + 430 + 516 + 560 + 602 + 645 + 688 + 840 + 860 + 903 + 1032 + 1204 + 1290 + 1505 + 1680 + 1720 + 1806 + 2064 + 2408 + 2580 + 3010 + 3440 + 3612 + 4515 + 4816 + 5160 + 6020 + 7224 + 9030 + 10320 + 12040 + 14448 + 18060 + 24080 + 36120 + 72240 = 261888

Prime Factorization of 72240

See the full prime factorization calculator →

Properties of 72240

  • 72240 is composite.
  • 72240 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 261888.

Common Divisors with Another Number?

Looking for the divisors that 72240 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 72240

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √72240 ≈ 268.77. If i divides 72240, then both i and 72240/i are divisors.

  1. 1 divides 72240 (72240 ÷ 1 = 72240) → pair (1, 72240)
  2. 2 divides 72240 (72240 ÷ 2 = 36120) → pair (2, 36120)
  3. 3 divides 72240 (72240 ÷ 3 = 24080) → pair (3, 24080)
  4. 4 divides 72240 (72240 ÷ 4 = 18060) → pair (4, 18060)
  5. 5 divides 72240 (72240 ÷ 5 = 14448) → pair (5, 14448)
  6. 6 divides 72240 (72240 ÷ 6 = 12040) → pair (6, 12040)
  7. 7 divides 72240 (72240 ÷ 7 = 10320) → pair (7, 10320)
  8. 8 divides 72240 (72240 ÷ 8 = 9030) → pair (8, 9030)
  9. 10 divides 72240 (72240 ÷ 10 = 7224) → pair (10, 7224)
  10. 12 divides 72240 (72240 ÷ 12 = 6020) → pair (12, 6020)
  11. 14 divides 72240 (72240 ÷ 14 = 5160) → pair (14, 5160)
  12. 15 divides 72240 (72240 ÷ 15 = 4816) → pair (15, 4816)
  13. 16 divides 72240 (72240 ÷ 16 = 4515) → pair (16, 4515)
  14. 20 divides 72240 (72240 ÷ 20 = 3612) → pair (20, 3612)
  15. 21 divides 72240 (72240 ÷ 21 = 3440) → pair (21, 3440)
  16. 24 divides 72240 (72240 ÷ 24 = 3010) → pair (24, 3010)
  17. 28 divides 72240 (72240 ÷ 28 = 2580) → pair (28, 2580)
  18. 30 divides 72240 (72240 ÷ 30 = 2408) → pair (30, 2408)
  19. 35 divides 72240 (72240 ÷ 35 = 2064) → pair (35, 2064)
  20. 40 divides 72240 (72240 ÷ 40 = 1806) → pair (40, 1806)
  21. 42 divides 72240 (72240 ÷ 42 = 1720) → pair (42, 1720)
  22. 43 divides 72240 (72240 ÷ 43 = 1680) → pair (43, 1680)
  23. 48 divides 72240 (72240 ÷ 48 = 1505) → pair (48, 1505)
  24. 56 divides 72240 (72240 ÷ 56 = 1290) → pair (56, 1290)
  25. 60 divides 72240 (72240 ÷ 60 = 1204) → pair (60, 1204)
  26. 70 divides 72240 (72240 ÷ 70 = 1032) → pair (70, 1032)
  27. 80 divides 72240 (72240 ÷ 80 = 903) → pair (80, 903)
  28. 84 divides 72240 (72240 ÷ 84 = 860) → pair (84, 860)
  29. 86 divides 72240 (72240 ÷ 86 = 840) → pair (86, 840)
  30. 105 divides 72240 (72240 ÷ 105 = 688) → pair (105, 688)
  31. 112 divides 72240 (72240 ÷ 112 = 645) → pair (112, 645)
  32. 120 divides 72240 (72240 ÷ 120 = 602) → pair (120, 602)
  33. 129 divides 72240 (72240 ÷ 129 = 560) → pair (129, 560)
  34. 140 divides 72240 (72240 ÷ 140 = 516) → pair (140, 516)
  35. 168 divides 72240 (72240 ÷ 168 = 430) → pair (168, 430)
  36. 172 divides 72240 (72240 ÷ 172 = 420) → pair (172, 420)
  37. 210 divides 72240 (72240 ÷ 210 = 344) → pair (210, 344)
  38. 215 divides 72240 (72240 ÷ 215 = 336) → pair (215, 336)
  39. 240 divides 72240 (72240 ÷ 240 = 301) → pair (240, 301)
  40. 258 divides 72240 (72240 ÷ 258 = 280) → pair (258, 280)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 43, 48, 56, 60, 70, 80, 84, 86, 105, 112, 120, 129, 140, 168, 172, 210, 215, 240, 258, 280, 301, 336, 344, 420, 430, 516, 560, 602, 645, 688, 840, 860, 903, 1032, 1204, 1290, 1505, 1680, 1720, 1806, 2064, 2408, 2580, 3010, 3440, 3612, 4515, 4816, 5160, 6020, 7224, 9030, 10320, 12040, 14448, 18060, 24080, 36120, 72240} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 35 + 40 + 42 + 43 + 48 + 56 + 60 + 70 + 80 + 84 + 86 + 105 + 112 + 120 + 129 + 140 + 168 + 172 + 210 + 215 + 240 + 258 + 280 + 301 + 336 + 344 + 420 + 430 + 516 + 560 + 602 + 645 + 688 + 840 + 860 + 903 + 1032 + 1204 + 1290 + 1505 + 1680 + 1720 + 1806 + 2064 + 2408 + 2580 + 3010 + 3440 + 3612 + 4515 + 4816 + 5160 + 6020 + 7224 + 9030 + 10320 + 12040 + 14448 + 18060 + 24080 + 36120 + 72240 = 261888.

Nearby Examples

ndivisors countsum σ(n)
360241170
24020744
18018546
14415403
12016360
1009217
9012234
8412224

Related Operations for 72240

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

Divisors Calculation Examples

Find all divisors of these numbers:

1,9708 div2,0236 div1009 div1,0308 div1,2074 div1,2698 div1,4532 div1,75216 div1,86212 div1,9664 div26012 div74812 div

Related Calculators