Divisors of 60984: All 72 Factors

Divisors (Factors) Calculator

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 60984

The number 60984 has 72 divisors:

1,  2,  3,  4,  6,  7,  8,  9,  11,  12,  14,  18,  21,  22,  24,  28,  33,  36,  42,  44,  56,  63,  66,  72,  77,  84,  88,  99,  121,  126,  132,  154,  168,  198,  231,  242,  252,  264,  308,  363,  396,  462,  484,  504,  616,  693,  726,  792,  847,  924,  968,  1089,  1386,  1452,  1694,  1848,  2178,  2541,  2772,  2904,  3388,  4356,  5082,  5544,  6776,  7623,  8712,  10164,  15246,  20328,  30492,  60984

Divisor Pairs of 60984

Each pair multiplies to 60984:

Number of Divisors

The number 60984 has 72 divisors, written as τ(60984) = 72 in number theory.

Sum of Divisors

σ(60984) = 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 11 + 12 + 14 + 18 + 21 + 22 + 24 + 28 + 33 + 36 + 42 + 44 + 56 + 63 + 66 + 72 + 77 + 84 + 88 + 99 + 121 + 126 + 132 + 154 + 168 + 198 + 231 + 242 + 252 + 264 + 308 + 363 + 396 + 462 + 484 + 504 + 616 + 693 + 726 + 792 + 847 + 924 + 968 + 1089 + 1386 + 1452 + 1694 + 1848 + 2178 + 2541 + 2772 + 2904 + 3388 + 4356 + 5082 + 5544 + 6776 + 7623 + 8712 + 10164 + 15246 + 20328 + 30492 + 60984 = 207480

Prime Factorization of 60984

See the full prime factorization calculator →

Properties of 60984

• 60984 is composite.
• 60984 is not a perfect square.
• Number of divisors: 72.
• Sum of divisors: 207480.

Common Divisors with Another Number?

Looking for the divisors that 60984 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 60984

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √60984 ≈ 246.95. If i divides 60984, then both i and 60984/i are divisors.

1. 1 divides 60984 (60984 ÷ 1 = 60984) → pair (1, 60984)
2. 2 divides 60984 (60984 ÷ 2 = 30492) → pair (2, 30492)
3. 3 divides 60984 (60984 ÷ 3 = 20328) → pair (3, 20328)
4. 4 divides 60984 (60984 ÷ 4 = 15246) → pair (4, 15246)
5. 6 divides 60984 (60984 ÷ 6 = 10164) → pair (6, 10164)
6. 7 divides 60984 (60984 ÷ 7 = 8712) → pair (7, 8712)
7. 8 divides 60984 (60984 ÷ 8 = 7623) → pair (8, 7623)
8. 9 divides 60984 (60984 ÷ 9 = 6776) → pair (9, 6776)
9. 11 divides 60984 (60984 ÷ 11 = 5544) → pair (11, 5544)
10. 12 divides 60984 (60984 ÷ 12 = 5082) → pair (12, 5082)
11. 14 divides 60984 (60984 ÷ 14 = 4356) → pair (14, 4356)
12. 18 divides 60984 (60984 ÷ 18 = 3388) → pair (18, 3388)
13. 21 divides 60984 (60984 ÷ 21 = 2904) → pair (21, 2904)
14. 22 divides 60984 (60984 ÷ 22 = 2772) → pair (22, 2772)
15. 24 divides 60984 (60984 ÷ 24 = 2541) → pair (24, 2541)
16. 28 divides 60984 (60984 ÷ 28 = 2178) → pair (28, 2178)
17. 33 divides 60984 (60984 ÷ 33 = 1848) → pair (33, 1848)
18. 36 divides 60984 (60984 ÷ 36 = 1694) → pair (36, 1694)
19. 42 divides 60984 (60984 ÷ 42 = 1452) → pair (42, 1452)
20. 44 divides 60984 (60984 ÷ 44 = 1386) → pair (44, 1386)
21. 56 divides 60984 (60984 ÷ 56 = 1089) → pair (56, 1089)
22. 63 divides 60984 (60984 ÷ 63 = 968) → pair (63, 968)
23. 66 divides 60984 (60984 ÷ 66 = 924) → pair (66, 924)
24. 72 divides 60984 (60984 ÷ 72 = 847) → pair (72, 847)
25. 77 divides 60984 (60984 ÷ 77 = 792) → pair (77, 792)
26. 84 divides 60984 (60984 ÷ 84 = 726) → pair (84, 726)
27. 88 divides 60984 (60984 ÷ 88 = 693) → pair (88, 693)
28. 99 divides 60984 (60984 ÷ 99 = 616) → pair (99, 616)
29. 121 divides 60984 (60984 ÷ 121 = 504) → pair (121, 504)
30. 126 divides 60984 (60984 ÷ 126 = 484) → pair (126, 484)
31. 132 divides 60984 (60984 ÷ 132 = 462) → pair (132, 462)
32. 154 divides 60984 (60984 ÷ 154 = 396) → pair (154, 396)
33. 168 divides 60984 (60984 ÷ 168 = 363) → pair (168, 363)
34. 198 divides 60984 (60984 ÷ 198 = 308) → pair (198, 308)
35. 231 divides 60984 (60984 ÷ 231 = 264) → pair (231, 264)
36. 242 divides 60984 (60984 ÷ 242 = 252) → pair (242, 252)
37. Collect all unique values: {1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 121, 126, 132, 154, 168, 198, 231, 242, 252, 264, 308, 363, 396, 462, 484, 504, 616, 693, 726, 792, 847, 924, 968, 1089, 1386, 1452, 1694, 1848, 2178, 2541, 2772, 2904, 3388, 4356, 5082, 5544, 6776, 7623, 8712, 10164, 15246, 20328, 30492, 60984} — total 72 divisors.
38. Sum: 1 + 2 + 3 + 4 + 6 + 7 + 8 + 9 + 11 + 12 + 14 + 18 + 21 + 22 + 24 + 28 + 33 + 36 + 42 + 44 + 56 + 63 + 66 + 72 + 77 + 84 + 88 + 99 + 121 + 126 + 132 + 154 + 168 + 198 + 231 + 242 + 252 + 264 + 308 + 363 + 396 + 462 + 484 + 504 + 616 + 693 + 726 + 792 + 847 + 924 + 968 + 1089 + 1386 + 1452 + 1694 + 1848 + 2178 + 2541 + 2772 + 2904 + 3388 + 4356 + 5082 + 5544 + 6776 + 7623 + 8712 + 10164 + 15246 + 20328 + 30492 + 60984 = 207480.

Nearby Examples

Related Operations for 60984

• Multiples of a Number — "outward" complement of divisors
• 60984 Prime Factorization — decompose into prime building blocks
• Find GCF of 60984 and another number
• Find LCM of 60984 and another number
• Is 60984 a perfect square? (odd divisor count ⇔ yes)

See also our tables of divisors:

• Table of all divisors from 1 to 100
• Table of all divisors from 1 to 500
• Table of all divisors from 1 to 1,000
• Table of all divisors from 1 to 10,000

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

• [1] Divisor (Wikipedia)
• [2] Divisor function (Wikipedia)
• [3] Divisor (Wolfram MathWorld)

Divisors Calculation Examples

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