Divisors of 67392: All 70 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 67392

The number 67392 has 70 divisors:

1,  2,  3,  4,  6,  8,  9,  12,  13,  16,  18,  24,  26,  27,  32,  36,  39,  48,  52,  54,  64,  72,  78,  81,  96,  104,  108,  117,  144,  156,  162,  192,  208,  216,  234,  288,  312,  324,  351,  416,  432,  468,  576,  624,  648,  702,  832,  864,  936,  1053,  1248,  1296,  1404,  1728,  1872,  2106,  2496,  2592,  2808,  3744,  4212,  5184,  5616,  7488,  8424,  11232,  16848,  22464,  33696,  67392

Divisor Pairs of 67392

Each pair multiplies to 67392:

Number of Divisors

The number 67392 has 70 divisors, written as τ(67392) = 70 in number theory.

Sum of Divisors

σ(67392) = 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 16 + 18 + 24 + 26 + 27 + 32 + 36 + 39 + 48 + 52 + 54 + 64 + 72 + 78 + 81 + 96 + 104 + 108 + 117 + 144 + 156 + 162 + 192 + 208 + 216 + 234 + 288 + 312 + 324 + 351 + 416 + 432 + 468 + 576 + 624 + 648 + 702 + 832 + 864 + 936 + 1053 + 1248 + 1296 + 1404 + 1728 + 1872 + 2106 + 2496 + 2592 + 2808 + 3744 + 4212 + 5184 + 5616 + 7488 + 8424 + 11232 + 16848 + 22464 + 33696 + 67392 = 215138

Prime Factorization of 67392

See the full prime factorization calculator →

Properties of 67392

• 67392 is composite.
• 67392 is not a perfect square.
• Number of divisors: 70.
• Sum of divisors: 215138.

Common Divisors with Another Number?

Looking for the divisors that 67392 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 67392

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √67392 ≈ 259.60. If i divides 67392, then both i and 67392/i are divisors.

1. 1 divides 67392 (67392 ÷ 1 = 67392) → pair (1, 67392)
2. 2 divides 67392 (67392 ÷ 2 = 33696) → pair (2, 33696)
3. 3 divides 67392 (67392 ÷ 3 = 22464) → pair (3, 22464)
4. 4 divides 67392 (67392 ÷ 4 = 16848) → pair (4, 16848)
5. 6 divides 67392 (67392 ÷ 6 = 11232) → pair (6, 11232)
6. 8 divides 67392 (67392 ÷ 8 = 8424) → pair (8, 8424)
7. 9 divides 67392 (67392 ÷ 9 = 7488) → pair (9, 7488)
8. 12 divides 67392 (67392 ÷ 12 = 5616) → pair (12, 5616)
9. 13 divides 67392 (67392 ÷ 13 = 5184) → pair (13, 5184)
10. 16 divides 67392 (67392 ÷ 16 = 4212) → pair (16, 4212)
11. 18 divides 67392 (67392 ÷ 18 = 3744) → pair (18, 3744)
12. 24 divides 67392 (67392 ÷ 24 = 2808) → pair (24, 2808)
13. 26 divides 67392 (67392 ÷ 26 = 2592) → pair (26, 2592)
14. 27 divides 67392 (67392 ÷ 27 = 2496) → pair (27, 2496)
15. 32 divides 67392 (67392 ÷ 32 = 2106) → pair (32, 2106)
16. 36 divides 67392 (67392 ÷ 36 = 1872) → pair (36, 1872)
17. 39 divides 67392 (67392 ÷ 39 = 1728) → pair (39, 1728)
18. 48 divides 67392 (67392 ÷ 48 = 1404) → pair (48, 1404)
19. 52 divides 67392 (67392 ÷ 52 = 1296) → pair (52, 1296)
20. 54 divides 67392 (67392 ÷ 54 = 1248) → pair (54, 1248)
21. 64 divides 67392 (67392 ÷ 64 = 1053) → pair (64, 1053)
22. 72 divides 67392 (67392 ÷ 72 = 936) → pair (72, 936)
23. 78 divides 67392 (67392 ÷ 78 = 864) → pair (78, 864)
24. 81 divides 67392 (67392 ÷ 81 = 832) → pair (81, 832)
25. 96 divides 67392 (67392 ÷ 96 = 702) → pair (96, 702)
26. 104 divides 67392 (67392 ÷ 104 = 648) → pair (104, 648)
27. 108 divides 67392 (67392 ÷ 108 = 624) → pair (108, 624)
28. 117 divides 67392 (67392 ÷ 117 = 576) → pair (117, 576)
29. 144 divides 67392 (67392 ÷ 144 = 468) → pair (144, 468)
30. 156 divides 67392 (67392 ÷ 156 = 432) → pair (156, 432)
31. 162 divides 67392 (67392 ÷ 162 = 416) → pair (162, 416)
32. 192 divides 67392 (67392 ÷ 192 = 351) → pair (192, 351)
33. 208 divides 67392 (67392 ÷ 208 = 324) → pair (208, 324)
34. 216 divides 67392 (67392 ÷ 216 = 312) → pair (216, 312)
35. 234 divides 67392 (67392 ÷ 234 = 288) → pair (234, 288)
36. Collect all unique values: {1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36, 39, 48, 52, 54, 64, 72, 78, 81, 96, 104, 108, 117, 144, 156, 162, 192, 208, 216, 234, 288, 312, 324, 351, 416, 432, 468, 576, 624, 648, 702, 832, 864, 936, 1053, 1248, 1296, 1404, 1728, 1872, 2106, 2496, 2592, 2808, 3744, 4212, 5184, 5616, 7488, 8424, 11232, 16848, 22464, 33696, 67392} — total 70 divisors.
37. Sum: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 16 + 18 + 24 + 26 + 27 + 32 + 36 + 39 + 48 + 52 + 54 + 64 + 72 + 78 + 81 + 96 + 104 + 108 + 117 + 144 + 156 + 162 + 192 + 208 + 216 + 234 + 288 + 312 + 324 + 351 + 416 + 432 + 468 + 576 + 624 + 648 + 702 + 832 + 864 + 936 + 1053 + 1248 + 1296 + 1404 + 1728 + 1872 + 2106 + 2496 + 2592 + 2808 + 3744 + 4212 + 5184 + 5616 + 7488 + 8424 + 11232 + 16848 + 22464 + 33696 + 67392 = 215138.

Nearby Examples

Related Operations for 67392

• Multiples of a Number — "outward" complement of divisors
• 67392 Prime Factorization — decompose into prime building blocks
• Find GCF of 67392 and another number
• Find LCM of 67392 and another number
• Is 67392 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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