Divisors of 49440: All 48 Factors

Quick Answer

49440 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 103, 120, 160, 206, 240, 309, 412, 480, 515, 618, 824, 1030, 1236, 1545, 1648, 2060, 2472, 3090, 3296, 4120, 4944, 6180, 8240, 9888, 12360, 16480, 24720, 49440.

Sum: 157248.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 103, 120, 160, 206, 240, 309, 412, 480, 515, 618, 824, 1030, 1236, 1545, 1648, 2060, 2472, 3090, 3296, 4120, 4944, 6180, 8240, 9888, 12360, 16480, 24720, 49440

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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 49440

The number 49440 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  16,  20,  24,  30,  32,  40,  48,  60,  80,  96,  103,  120,  160,  206,  240,  309,  412,  480,  515,  618,  824,  1030,  1236,  1545,  1648,  2060,  2472,  3090,  3296,  4120,  4944,  6180,  8240,  9888,  12360,  16480,  24720,  49440

Divisor Pairs of 49440

Each pair multiplies to 49440:

Factor 1×Factor 2=Product
1×49440=49440
2×24720=49440
3×16480=49440
4×12360=49440
5×9888=49440
6×8240=49440
8×6180=49440
10×4944=49440
12×4120=49440
15×3296=49440
16×3090=49440
20×2472=49440
24×2060=49440
30×1648=49440
32×1545=49440
40×1236=49440
48×1030=49440
60×824=49440
80×618=49440
96×515=49440
103×480=49440
120×412=49440
160×309=49440
206×240=49440

Number of Divisors

The number 49440 has 48 divisors, written as τ(49440) = 48 in number theory.

Sum of Divisors

σ(49440) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 60 + 80 + 96 + 103 + 120 + 160 + 206 + 240 + 309 + 412 + 480 + 515 + 618 + 824 + 1030 + 1236 + 1545 + 1648 + 2060 + 2472 + 3090 + 3296 + 4120 + 4944 + 6180 + 8240 + 9888 + 12360 + 16480 + 24720 + 49440 = 157248

Prime Factorization of 49440

See the full prime factorization calculator →

Properties of 49440

  • 49440 is composite.
  • 49440 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 157248.

Common Divisors with Another Number?

Looking for the divisors that 49440 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 49440

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √49440 ≈ 222.35. If i divides 49440, then both i and 49440/i are divisors.

  1. 1 divides 49440 (49440 ÷ 1 = 49440) → pair (1, 49440)
  2. 2 divides 49440 (49440 ÷ 2 = 24720) → pair (2, 24720)
  3. 3 divides 49440 (49440 ÷ 3 = 16480) → pair (3, 16480)
  4. 4 divides 49440 (49440 ÷ 4 = 12360) → pair (4, 12360)
  5. 5 divides 49440 (49440 ÷ 5 = 9888) → pair (5, 9888)
  6. 6 divides 49440 (49440 ÷ 6 = 8240) → pair (6, 8240)
  7. 8 divides 49440 (49440 ÷ 8 = 6180) → pair (8, 6180)
  8. 10 divides 49440 (49440 ÷ 10 = 4944) → pair (10, 4944)
  9. 12 divides 49440 (49440 ÷ 12 = 4120) → pair (12, 4120)
  10. 15 divides 49440 (49440 ÷ 15 = 3296) → pair (15, 3296)
  11. 16 divides 49440 (49440 ÷ 16 = 3090) → pair (16, 3090)
  12. 20 divides 49440 (49440 ÷ 20 = 2472) → pair (20, 2472)
  13. 24 divides 49440 (49440 ÷ 24 = 2060) → pair (24, 2060)
  14. 30 divides 49440 (49440 ÷ 30 = 1648) → pair (30, 1648)
  15. 32 divides 49440 (49440 ÷ 32 = 1545) → pair (32, 1545)
  16. 40 divides 49440 (49440 ÷ 40 = 1236) → pair (40, 1236)
  17. 48 divides 49440 (49440 ÷ 48 = 1030) → pair (48, 1030)
  18. 60 divides 49440 (49440 ÷ 60 = 824) → pair (60, 824)
  19. 80 divides 49440 (49440 ÷ 80 = 618) → pair (80, 618)
  20. 96 divides 49440 (49440 ÷ 96 = 515) → pair (96, 515)
  21. 103 divides 49440 (49440 ÷ 103 = 480) → pair (103, 480)
  22. 120 divides 49440 (49440 ÷ 120 = 412) → pair (120, 412)
  23. 160 divides 49440 (49440 ÷ 160 = 309) → pair (160, 309)
  24. 206 divides 49440 (49440 ÷ 206 = 240) → pair (206, 240)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 103, 120, 160, 206, 240, 309, 412, 480, 515, 618, 824, 1030, 1236, 1545, 1648, 2060, 2472, 3090, 3296, 4120, 4944, 6180, 8240, 9888, 12360, 16480, 24720, 49440} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 60 + 80 + 96 + 103 + 120 + 160 + 206 + 240 + 309 + 412 + 480 + 515 + 618 + 824 + 1030 + 1236 + 1545 + 1648 + 2060 + 2472 + 3090 + 3296 + 4120 + 4944 + 6180 + 8240 + 9888 + 12360 + 16480 + 24720 + 49440 = 157248.

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Related Operations for 49440

See also our tables of divisors:

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

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