Divisors of 24336: All 45 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 24336

The number 24336 has 45 divisors:

1,  2,  3,  4,  6,  8,  9,  12,  13,  16,  18,  24,  26,  36,  39,  48,  52,  72,  78,  104,  117,  144,  156,  169,  208,  234,  312,  338,  468,  507,  624,  676,  936,  1014,  1352,  1521,  1872,  2028,  2704,  3042,  4056,  6084,  8112,  12168,  24336

Divisor Pairs of 24336

Each pair multiplies to 24336:

Note: the last pair has identical factors (156 × 156) because 24336 is a perfect square.

Number of Divisors

The number 24336 has 45 divisors, written as τ(24336) = 45 in number theory.

⚡ Notice: 24336 has an odd number of divisors — this means 24336 is a perfect square (√24336 = 156).

Sum of Divisors

σ(24336) = 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 16 + 18 + 24 + 26 + 36 + 39 + 48 + 52 + 72 + 78 + 104 + 117 + 144 + 156 + 169 + 208 + 234 + 312 + 338 + 468 + 507 + 624 + 676 + 936 + 1014 + 1352 + 1521 + 1872 + 2028 + 2704 + 3042 + 4056 + 6084 + 8112 + 12168 + 24336 = 73749

Prime Factorization of 24336

See the full prime factorization calculator →

Properties of 24336

• 24336 is composite.
• 24336 is a perfect square (√24336 = 156).
• Number of divisors: 45.
• Sum of divisors: 73749.

Common Divisors with Another Number?

Looking for the divisors that 24336 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 24336

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √24336 ≈ 156.00. If i divides 24336, then both i and 24336/i are divisors.

1. 1 divides 24336 (24336 ÷ 1 = 24336) → pair (1, 24336)
2. 2 divides 24336 (24336 ÷ 2 = 12168) → pair (2, 12168)
3. 3 divides 24336 (24336 ÷ 3 = 8112) → pair (3, 8112)
4. 4 divides 24336 (24336 ÷ 4 = 6084) → pair (4, 6084)
5. 6 divides 24336 (24336 ÷ 6 = 4056) → pair (6, 4056)
6. 8 divides 24336 (24336 ÷ 8 = 3042) → pair (8, 3042)
7. 9 divides 24336 (24336 ÷ 9 = 2704) → pair (9, 2704)
8. 12 divides 24336 (24336 ÷ 12 = 2028) → pair (12, 2028)
9. 13 divides 24336 (24336 ÷ 13 = 1872) → pair (13, 1872)
10. 16 divides 24336 (24336 ÷ 16 = 1521) → pair (16, 1521)
11. 18 divides 24336 (24336 ÷ 18 = 1352) → pair (18, 1352)
12. 24 divides 24336 (24336 ÷ 24 = 1014) → pair (24, 1014)
13. 26 divides 24336 (24336 ÷ 26 = 936) → pair (26, 936)
14. 36 divides 24336 (24336 ÷ 36 = 676) → pair (36, 676)
15. 39 divides 24336 (24336 ÷ 39 = 624) → pair (39, 624)
16. 48 divides 24336 (24336 ÷ 48 = 507) → pair (48, 507)
17. 52 divides 24336 (24336 ÷ 52 = 468) → pair (52, 468)
18. 72 divides 24336 (24336 ÷ 72 = 338) → pair (72, 338)
19. 78 divides 24336 (24336 ÷ 78 = 312) → pair (78, 312)
20. 104 divides 24336 (24336 ÷ 104 = 234) → pair (104, 234)
21. 117 divides 24336 (24336 ÷ 117 = 208) → pair (117, 208)
22. 144 divides 24336 (24336 ÷ 144 = 169) → pair (144, 169)
23. 156 divides 24336 (24336 ÷ 156 = 156) → pair (156, 156)
24. Collect all unique values: {1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 169, 208, 234, 312, 338, 468, 507, 624, 676, 936, 1014, 1352, 1521, 1872, 2028, 2704, 3042, 4056, 6084, 8112, 12168, 24336} — total 45 divisors.
25. Sum: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 16 + 18 + 24 + 26 + 36 + 39 + 48 + 52 + 72 + 78 + 104 + 117 + 144 + 156 + 169 + 208 + 234 + 312 + 338 + 468 + 507 + 624 + 676 + 936 + 1014 + 1352 + 1521 + 1872 + 2028 + 2704 + 3042 + 4056 + 6084 + 8112 + 12168 + 24336 = 73749.

Nearby Examples

Related Operations for 24336

• Multiples of a Number — "outward" complement of divisors
• 24336 Prime Factorization — decompose into prime building blocks
• Find GCF of 24336 and another number
• Find LCM of 24336 and another number
• Is 24336 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)

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