Divisors of 60840: All 72 Factors

Quick Answer

60840 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 169, 180, 195, 234, 260, 312, 338, 360, 390, 468, 507, 520, 585, 676, 780, 845, 936, 1014, 1170, 1352, 1521, 1560, 1690, 2028, 2340, 2535, 3042, 3380, 4056, 4680, 5070, 6084, 6760, 7605, 10140, 12168, 15210, 20280, 30420, 60840.

Sum: 214110.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
72 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 169, 180, 195, 234, 260, 312, 338, 360, 390, 468, 507, 520, 585, 676, 780, 845, 936, 1014, 1170, 1352, 1521, 1560, 1690, 2028, 2340, 2535, 3042, 3380, 4056, 4680, 5070, 6084, 6760, 7605, 10140, 12168, 15210, 20280, 30420, 60840

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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 60840

The number 60840 has 72 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  13,  15,  18,  20,  24,  26,  30,  36,  39,  40,  45,  52,  60,  65,  72,  78,  90,  104,  117,  120,  130,  156,  169,  180,  195,  234,  260,  312,  338,  360,  390,  468,  507,  520,  585,  676,  780,  845,  936,  1014,  1170,  1352,  1521,  1560,  1690,  2028,  2340,  2535,  3042,  3380,  4056,  4680,  5070,  6084,  6760,  7605,  10140,  12168,  15210,  20280,  30420,  60840

Divisor Pairs of 60840

Each pair multiplies to 60840:

Factor 1×Factor 2=Product
1×60840=60840
2×30420=60840
3×20280=60840
4×15210=60840
5×12168=60840
6×10140=60840
8×7605=60840
9×6760=60840
10×6084=60840
12×5070=60840
13×4680=60840
15×4056=60840
18×3380=60840
20×3042=60840
24×2535=60840
26×2340=60840
30×2028=60840
36×1690=60840
39×1560=60840
40×1521=60840
45×1352=60840
52×1170=60840
60×1014=60840
65×936=60840
72×845=60840
78×780=60840
90×676=60840
104×585=60840
117×520=60840
120×507=60840
130×468=60840
156×390=60840
169×360=60840
180×338=60840
195×312=60840
234×260=60840

Number of Divisors

The number 60840 has 72 divisors, written as τ(60840) = 72 in number theory.

Sum of Divisors

σ(60840) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 13 + 15 + 18 + 20 + 24 + 26 + 30 + 36 + 39 + 40 + 45 + 52 + 60 + 65 + 72 + 78 + 90 + 104 + 117 + 120 + 130 + 156 + 169 + 180 + 195 + 234 + 260 + 312 + 338 + 360 + 390 + 468 + 507 + 520 + 585 + 676 + 780 + 845 + 936 + 1014 + 1170 + 1352 + 1521 + 1560 + 1690 + 2028 + 2340 + 2535 + 3042 + 3380 + 4056 + 4680 + 5070 + 6084 + 6760 + 7605 + 10140 + 12168 + 15210 + 20280 + 30420 + 60840 = 214110

Prime Factorization of 60840

See the full prime factorization calculator →

Properties of 60840

  • 60840 is composite.
  • 60840 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 214110.

Common Divisors with Another Number?

Looking for the divisors that 60840 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 60840

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √60840 ≈ 246.66. If i divides 60840, then both i and 60840/i are divisors.

  1. 1 divides 60840 (60840 ÷ 1 = 60840) → pair (1, 60840)
  2. 2 divides 60840 (60840 ÷ 2 = 30420) → pair (2, 30420)
  3. 3 divides 60840 (60840 ÷ 3 = 20280) → pair (3, 20280)
  4. 4 divides 60840 (60840 ÷ 4 = 15210) → pair (4, 15210)
  5. 5 divides 60840 (60840 ÷ 5 = 12168) → pair (5, 12168)
  6. 6 divides 60840 (60840 ÷ 6 = 10140) → pair (6, 10140)
  7. 8 divides 60840 (60840 ÷ 8 = 7605) → pair (8, 7605)
  8. 9 divides 60840 (60840 ÷ 9 = 6760) → pair (9, 6760)
  9. 10 divides 60840 (60840 ÷ 10 = 6084) → pair (10, 6084)
  10. 12 divides 60840 (60840 ÷ 12 = 5070) → pair (12, 5070)
  11. 13 divides 60840 (60840 ÷ 13 = 4680) → pair (13, 4680)
  12. 15 divides 60840 (60840 ÷ 15 = 4056) → pair (15, 4056)
  13. 18 divides 60840 (60840 ÷ 18 = 3380) → pair (18, 3380)
  14. 20 divides 60840 (60840 ÷ 20 = 3042) → pair (20, 3042)
  15. 24 divides 60840 (60840 ÷ 24 = 2535) → pair (24, 2535)
  16. 26 divides 60840 (60840 ÷ 26 = 2340) → pair (26, 2340)
  17. 30 divides 60840 (60840 ÷ 30 = 2028) → pair (30, 2028)
  18. 36 divides 60840 (60840 ÷ 36 = 1690) → pair (36, 1690)
  19. 39 divides 60840 (60840 ÷ 39 = 1560) → pair (39, 1560)
  20. 40 divides 60840 (60840 ÷ 40 = 1521) → pair (40, 1521)
  21. 45 divides 60840 (60840 ÷ 45 = 1352) → pair (45, 1352)
  22. 52 divides 60840 (60840 ÷ 52 = 1170) → pair (52, 1170)
  23. 60 divides 60840 (60840 ÷ 60 = 1014) → pair (60, 1014)
  24. 65 divides 60840 (60840 ÷ 65 = 936) → pair (65, 936)
  25. 72 divides 60840 (60840 ÷ 72 = 845) → pair (72, 845)
  26. 78 divides 60840 (60840 ÷ 78 = 780) → pair (78, 780)
  27. 90 divides 60840 (60840 ÷ 90 = 676) → pair (90, 676)
  28. 104 divides 60840 (60840 ÷ 104 = 585) → pair (104, 585)
  29. 117 divides 60840 (60840 ÷ 117 = 520) → pair (117, 520)
  30. 120 divides 60840 (60840 ÷ 120 = 507) → pair (120, 507)
  31. 130 divides 60840 (60840 ÷ 130 = 468) → pair (130, 468)
  32. 156 divides 60840 (60840 ÷ 156 = 390) → pair (156, 390)
  33. 169 divides 60840 (60840 ÷ 169 = 360) → pair (169, 360)
  34. 180 divides 60840 (60840 ÷ 180 = 338) → pair (180, 338)
  35. 195 divides 60840 (60840 ÷ 195 = 312) → pair (195, 312)
  36. 234 divides 60840 (60840 ÷ 234 = 260) → pair (234, 260)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 169, 180, 195, 234, 260, 312, 338, 360, 390, 468, 507, 520, 585, 676, 780, 845, 936, 1014, 1170, 1352, 1521, 1560, 1690, 2028, 2340, 2535, 3042, 3380, 4056, 4680, 5070, 6084, 6760, 7605, 10140, 12168, 15210, 20280, 30420, 60840} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 13 + 15 + 18 + 20 + 24 + 26 + 30 + 36 + 39 + 40 + 45 + 52 + 60 + 65 + 72 + 78 + 90 + 104 + 117 + 120 + 130 + 156 + 169 + 180 + 195 + 234 + 260 + 312 + 338 + 360 + 390 + 468 + 507 + 520 + 585 + 676 + 780 + 845 + 936 + 1014 + 1170 + 1352 + 1521 + 1560 + 1690 + 2028 + 2340 + 2535 + 3042 + 3380 + 4056 + 4680 + 5070 + 6084 + 6760 + 7605 + 10140 + 12168 + 15210 + 20280 + 30420 + 60840 = 214110.

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Related Operations for 60840

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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