Divisors of 49536: 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 49536

The number 49536 has 48 divisors:

1,  2,  3,  4,  6,  8,  9,  12,  16,  18,  24,  32,  36,  43,  48,  64,  72,  86,  96,  128,  129,  144,  172,  192,  258,  288,  344,  384,  387,  516,  576,  688,  774,  1032,  1152,  1376,  1548,  2064,  2752,  3096,  4128,  5504,  6192,  8256,  12384,  16512,  24768,  49536

Divisor Pairs of 49536

Each pair multiplies to 49536:

Number of Divisors

The number 49536 has 48 divisors, written as τ(49536) = 48 in number theory.

Sum of Divisors

σ(49536) = 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 32 + 36 + 43 + 48 + 64 + 72 + 86 + 96 + 128 + 129 + 144 + 172 + 192 + 258 + 288 + 344 + 384 + 387 + 516 + 576 + 688 + 774 + 1032 + 1152 + 1376 + 1548 + 2064 + 2752 + 3096 + 4128 + 5504 + 6192 + 8256 + 12384 + 16512 + 24768 + 49536 = 145860

Prime Factorization of 49536

See the full prime factorization calculator →

Properties of 49536

• 49536 is composite.
• 49536 is not a perfect square.
• Number of divisors: 48.
• Sum of divisors: 145860.

Common Divisors with Another Number?

Looking for the divisors that 49536 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 49536

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √49536 ≈ 222.57. If i divides 49536, then both i and 49536/i are divisors.

1. 1 divides 49536 (49536 ÷ 1 = 49536) → pair (1, 49536)
2. 2 divides 49536 (49536 ÷ 2 = 24768) → pair (2, 24768)
3. 3 divides 49536 (49536 ÷ 3 = 16512) → pair (3, 16512)
4. 4 divides 49536 (49536 ÷ 4 = 12384) → pair (4, 12384)
5. 6 divides 49536 (49536 ÷ 6 = 8256) → pair (6, 8256)
6. 8 divides 49536 (49536 ÷ 8 = 6192) → pair (8, 6192)
7. 9 divides 49536 (49536 ÷ 9 = 5504) → pair (9, 5504)
8. 12 divides 49536 (49536 ÷ 12 = 4128) → pair (12, 4128)
9. 16 divides 49536 (49536 ÷ 16 = 3096) → pair (16, 3096)
10. 18 divides 49536 (49536 ÷ 18 = 2752) → pair (18, 2752)
11. 24 divides 49536 (49536 ÷ 24 = 2064) → pair (24, 2064)
12. 32 divides 49536 (49536 ÷ 32 = 1548) → pair (32, 1548)
13. 36 divides 49536 (49536 ÷ 36 = 1376) → pair (36, 1376)
14. 43 divides 49536 (49536 ÷ 43 = 1152) → pair (43, 1152)
15. 48 divides 49536 (49536 ÷ 48 = 1032) → pair (48, 1032)
16. 64 divides 49536 (49536 ÷ 64 = 774) → pair (64, 774)
17. 72 divides 49536 (49536 ÷ 72 = 688) → pair (72, 688)
18. 86 divides 49536 (49536 ÷ 86 = 576) → pair (86, 576)
19. 96 divides 49536 (49536 ÷ 96 = 516) → pair (96, 516)
20. 128 divides 49536 (49536 ÷ 128 = 387) → pair (128, 387)
21. 129 divides 49536 (49536 ÷ 129 = 384) → pair (129, 384)
22. 144 divides 49536 (49536 ÷ 144 = 344) → pair (144, 344)
23. 172 divides 49536 (49536 ÷ 172 = 288) → pair (172, 288)
24. 192 divides 49536 (49536 ÷ 192 = 258) → pair (192, 258)
25. Collect all unique values: {1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 43, 48, 64, 72, 86, 96, 128, 129, 144, 172, 192, 258, 288, 344, 384, 387, 516, 576, 688, 774, 1032, 1152, 1376, 1548, 2064, 2752, 3096, 4128, 5504, 6192, 8256, 12384, 16512, 24768, 49536} — total 48 divisors.
26. Sum: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 32 + 36 + 43 + 48 + 64 + 72 + 86 + 96 + 128 + 129 + 144 + 172 + 192 + 258 + 288 + 344 + 384 + 387 + 516 + 576 + 688 + 774 + 1032 + 1152 + 1376 + 1548 + 2064 + 2752 + 3096 + 4128 + 5504 + 6192 + 8256 + 12384 + 16512 + 24768 + 49536 = 145860.

Nearby Examples

Related Operations for 49536

• Multiples of a Number — "outward" complement of divisors
• 49536 Prime Factorization — decompose into prime building blocks
• Find GCF of 49536 and another number
• Find LCM of 49536 and another number
• Is 49536 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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