Divisors of 36504: All 48 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 36504

The number 36504 has 48 divisors:

1,  2,  3,  4,  6,  8,  9,  12,  13,  18,  24,  26,  27,  36,  39,  52,  54,  72,  78,  104,  108,  117,  156,  169,  216,  234,  312,  338,  351,  468,  507,  676,  702,  936,  1014,  1352,  1404,  1521,  2028,  2808,  3042,  4056,  4563,  6084,  9126,  12168,  18252,  36504

Divisor Pairs of 36504

Each pair multiplies to 36504:

Number of Divisors

The number 36504 has 48 divisors, written as τ(36504) = 48 in number theory.

Sum of Divisors

σ(36504) = 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 18 + 24 + 26 + 27 + 36 + 39 + 52 + 54 + 72 + 78 + 104 + 108 + 117 + 156 + 169 + 216 + 234 + 312 + 338 + 351 + 468 + 507 + 676 + 702 + 936 + 1014 + 1352 + 1404 + 1521 + 2028 + 2808 + 3042 + 4056 + 4563 + 6084 + 9126 + 12168 + 18252 + 36504 = 109800

Prime Factorization of 36504

See the full prime factorization calculator →

Properties of 36504

• 36504 is composite.
• 36504 is not a perfect square.
• Number of divisors: 48.
• Sum of divisors: 109800.

Common Divisors with Another Number?

Looking for the divisors that 36504 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 36504

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √36504 ≈ 191.06. If i divides 36504, then both i and 36504/i are divisors.

1. 1 divides 36504 (36504 ÷ 1 = 36504) → pair (1, 36504)
2. 2 divides 36504 (36504 ÷ 2 = 18252) → pair (2, 18252)
3. 3 divides 36504 (36504 ÷ 3 = 12168) → pair (3, 12168)
4. 4 divides 36504 (36504 ÷ 4 = 9126) → pair (4, 9126)
5. 6 divides 36504 (36504 ÷ 6 = 6084) → pair (6, 6084)
6. 8 divides 36504 (36504 ÷ 8 = 4563) → pair (8, 4563)
7. 9 divides 36504 (36504 ÷ 9 = 4056) → pair (9, 4056)
8. 12 divides 36504 (36504 ÷ 12 = 3042) → pair (12, 3042)
9. 13 divides 36504 (36504 ÷ 13 = 2808) → pair (13, 2808)
10. 18 divides 36504 (36504 ÷ 18 = 2028) → pair (18, 2028)
11. 24 divides 36504 (36504 ÷ 24 = 1521) → pair (24, 1521)
12. 26 divides 36504 (36504 ÷ 26 = 1404) → pair (26, 1404)
13. 27 divides 36504 (36504 ÷ 27 = 1352) → pair (27, 1352)
14. 36 divides 36504 (36504 ÷ 36 = 1014) → pair (36, 1014)
15. 39 divides 36504 (36504 ÷ 39 = 936) → pair (39, 936)
16. 52 divides 36504 (36504 ÷ 52 = 702) → pair (52, 702)
17. 54 divides 36504 (36504 ÷ 54 = 676) → pair (54, 676)
18. 72 divides 36504 (36504 ÷ 72 = 507) → pair (72, 507)
19. 78 divides 36504 (36504 ÷ 78 = 468) → pair (78, 468)
20. 104 divides 36504 (36504 ÷ 104 = 351) → pair (104, 351)
21. 108 divides 36504 (36504 ÷ 108 = 338) → pair (108, 338)
22. 117 divides 36504 (36504 ÷ 117 = 312) → pair (117, 312)
23. 156 divides 36504 (36504 ÷ 156 = 234) → pair (156, 234)
24. 169 divides 36504 (36504 ÷ 169 = 216) → pair (169, 216)
25. Collect all unique values: {1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 169, 216, 234, 312, 338, 351, 468, 507, 676, 702, 936, 1014, 1352, 1404, 1521, 2028, 2808, 3042, 4056, 4563, 6084, 9126, 12168, 18252, 36504} — total 48 divisors.
26. Sum: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 18 + 24 + 26 + 27 + 36 + 39 + 52 + 54 + 72 + 78 + 104 + 108 + 117 + 156 + 169 + 216 + 234 + 312 + 338 + 351 + 468 + 507 + 676 + 702 + 936 + 1014 + 1352 + 1404 + 1521 + 2028 + 2808 + 3042 + 4056 + 4563 + 6084 + 9126 + 12168 + 18252 + 36504 = 109800.

Nearby Examples

Related Operations for 36504

• Multiples of a Number — "outward" complement of divisors
• 36504 Prime Factorization — decompose into prime building blocks
• Find GCF of 36504 and another number
• Find LCM of 36504 and another number
• Is 36504 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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