Divisors of 32480: All 48 Factors

Quick Answer

32480 has 48 divisors (factors): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 32, 35, 40, 56, 58, 70, 80, 112, 116, 140, 145, 160, 203, 224, 232, 280, 290, 406, 464, 560, 580, 812, 928, 1015, 1120, 1160, 1624, 2030, 2320, 3248, 4060, 4640, 6496, 8120, 16240, 32480.

Sum: 90720.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 32, 35, 40, 56, 58, 70, 80, 112, 116, 140, 145, 160, 203, 224, 232, 280, 290, 406, 464, 560, 580, 812, 928, 1015, 1120, 1160, 1624, 2030, 2320, 3248, 4060, 4640, 6496, 8120, 16240, 32480

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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 32480

The number 32480 has 48 divisors:

1,  2,  4,  5,  7,  8,  10,  14,  16,  20,  28,  29,  32,  35,  40,  56,  58,  70,  80,  112,  116,  140,  145,  160,  203,  224,  232,  280,  290,  406,  464,  560,  580,  812,  928,  1015,  1120,  1160,  1624,  2030,  2320,  3248,  4060,  4640,  6496,  8120,  16240,  32480

Divisor Pairs of 32480

Each pair multiplies to 32480:

Factor 1×Factor 2=Product
1×32480=32480
2×16240=32480
4×8120=32480
5×6496=32480
7×4640=32480
8×4060=32480
10×3248=32480
14×2320=32480
16×2030=32480
20×1624=32480
28×1160=32480
29×1120=32480
32×1015=32480
35×928=32480
40×812=32480
56×580=32480
58×560=32480
70×464=32480
80×406=32480
112×290=32480
116×280=32480
140×232=32480
145×224=32480
160×203=32480

Number of Divisors

The number 32480 has 48 divisors, written as τ(32480) = 48 in number theory.

Sum of Divisors

σ(32480) = 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 28 + 29 + 32 + 35 + 40 + 56 + 58 + 70 + 80 + 112 + 116 + 140 + 145 + 160 + 203 + 224 + 232 + 280 + 290 + 406 + 464 + 560 + 580 + 812 + 928 + 1015 + 1120 + 1160 + 1624 + 2030 + 2320 + 3248 + 4060 + 4640 + 6496 + 8120 + 16240 + 32480 = 90720

Prime Factorization of 32480

See the full prime factorization calculator →

Properties of 32480

  • 32480 is composite.
  • 32480 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 90720.

Common Divisors with Another Number?

Looking for the divisors that 32480 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 32480

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √32480 ≈ 180.22. If i divides 32480, then both i and 32480/i are divisors.

  1. 1 divides 32480 (32480 ÷ 1 = 32480) → pair (1, 32480)
  2. 2 divides 32480 (32480 ÷ 2 = 16240) → pair (2, 16240)
  3. 4 divides 32480 (32480 ÷ 4 = 8120) → pair (4, 8120)
  4. 5 divides 32480 (32480 ÷ 5 = 6496) → pair (5, 6496)
  5. 7 divides 32480 (32480 ÷ 7 = 4640) → pair (7, 4640)
  6. 8 divides 32480 (32480 ÷ 8 = 4060) → pair (8, 4060)
  7. 10 divides 32480 (32480 ÷ 10 = 3248) → pair (10, 3248)
  8. 14 divides 32480 (32480 ÷ 14 = 2320) → pair (14, 2320)
  9. 16 divides 32480 (32480 ÷ 16 = 2030) → pair (16, 2030)
  10. 20 divides 32480 (32480 ÷ 20 = 1624) → pair (20, 1624)
  11. 28 divides 32480 (32480 ÷ 28 = 1160) → pair (28, 1160)
  12. 29 divides 32480 (32480 ÷ 29 = 1120) → pair (29, 1120)
  13. 32 divides 32480 (32480 ÷ 32 = 1015) → pair (32, 1015)
  14. 35 divides 32480 (32480 ÷ 35 = 928) → pair (35, 928)
  15. 40 divides 32480 (32480 ÷ 40 = 812) → pair (40, 812)
  16. 56 divides 32480 (32480 ÷ 56 = 580) → pair (56, 580)
  17. 58 divides 32480 (32480 ÷ 58 = 560) → pair (58, 560)
  18. 70 divides 32480 (32480 ÷ 70 = 464) → pair (70, 464)
  19. 80 divides 32480 (32480 ÷ 80 = 406) → pair (80, 406)
  20. 112 divides 32480 (32480 ÷ 112 = 290) → pair (112, 290)
  21. 116 divides 32480 (32480 ÷ 116 = 280) → pair (116, 280)
  22. 140 divides 32480 (32480 ÷ 140 = 232) → pair (140, 232)
  23. 145 divides 32480 (32480 ÷ 145 = 224) → pair (145, 224)
  24. 160 divides 32480 (32480 ÷ 160 = 203) → pair (160, 203)
  25. Collect all unique values: {1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 32, 35, 40, 56, 58, 70, 80, 112, 116, 140, 145, 160, 203, 224, 232, 280, 290, 406, 464, 560, 580, 812, 928, 1015, 1120, 1160, 1624, 2030, 2320, 3248, 4060, 4640, 6496, 8120, 16240, 32480} — total 48 divisors.
  26. Sum: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 28 + 29 + 32 + 35 + 40 + 56 + 58 + 70 + 80 + 112 + 116 + 140 + 145 + 160 + 203 + 224 + 232 + 280 + 290 + 406 + 464 + 560 + 580 + 812 + 928 + 1015 + 1120 + 1160 + 1624 + 2030 + 2320 + 3248 + 4060 + 4640 + 6496 + 8120 + 16240 + 32480 = 90720.

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Related Operations for 32480

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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