Divisors of 38080: All 56 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 38080

The number 38080 has 56 divisors:

1,  2,  4,  5,  7,  8,  10,  14,  16,  17,  20,  28,  32,  34,  35,  40,  56,  64,  68,  70,  80,  85,  112,  119,  136,  140,  160,  170,  224,  238,  272,  280,  320,  340,  448,  476,  544,  560,  595,  680,  952,  1088,  1120,  1190,  1360,  1904,  2240,  2380,  2720,  3808,  4760,  5440,  7616,  9520,  19040,  38080

Divisor Pairs of 38080

Each pair multiplies to 38080:

Number of Divisors

The number 38080 has 56 divisors, written as τ(38080) = 56 in number theory.

Sum of Divisors

σ(38080) = 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 17 + 20 + 28 + 32 + 34 + 35 + 40 + 56 + 64 + 68 + 70 + 80 + 85 + 112 + 119 + 136 + 140 + 160 + 170 + 224 + 238 + 272 + 280 + 320 + 340 + 448 + 476 + 544 + 560 + 595 + 680 + 952 + 1088 + 1120 + 1190 + 1360 + 1904 + 2240 + 2380 + 2720 + 3808 + 4760 + 5440 + 7616 + 9520 + 19040 + 38080 = 109728

Prime Factorization of 38080

See the full prime factorization calculator →

Properties of 38080

• 38080 is composite.
• 38080 is not a perfect square.
• Number of divisors: 56.
• Sum of divisors: 109728.

Common Divisors with Another Number?

Looking for the divisors that 38080 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 38080

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √38080 ≈ 195.14. If i divides 38080, then both i and 38080/i are divisors.

1. 1 divides 38080 (38080 ÷ 1 = 38080) → pair (1, 38080)
2. 2 divides 38080 (38080 ÷ 2 = 19040) → pair (2, 19040)
3. 4 divides 38080 (38080 ÷ 4 = 9520) → pair (4, 9520)
4. 5 divides 38080 (38080 ÷ 5 = 7616) → pair (5, 7616)
5. 7 divides 38080 (38080 ÷ 7 = 5440) → pair (7, 5440)
6. 8 divides 38080 (38080 ÷ 8 = 4760) → pair (8, 4760)
7. 10 divides 38080 (38080 ÷ 10 = 3808) → pair (10, 3808)
8. 14 divides 38080 (38080 ÷ 14 = 2720) → pair (14, 2720)
9. 16 divides 38080 (38080 ÷ 16 = 2380) → pair (16, 2380)
10. 17 divides 38080 (38080 ÷ 17 = 2240) → pair (17, 2240)
11. 20 divides 38080 (38080 ÷ 20 = 1904) → pair (20, 1904)
12. 28 divides 38080 (38080 ÷ 28 = 1360) → pair (28, 1360)
13. 32 divides 38080 (38080 ÷ 32 = 1190) → pair (32, 1190)
14. 34 divides 38080 (38080 ÷ 34 = 1120) → pair (34, 1120)
15. 35 divides 38080 (38080 ÷ 35 = 1088) → pair (35, 1088)
16. 40 divides 38080 (38080 ÷ 40 = 952) → pair (40, 952)
17. 56 divides 38080 (38080 ÷ 56 = 680) → pair (56, 680)
18. 64 divides 38080 (38080 ÷ 64 = 595) → pair (64, 595)
19. 68 divides 38080 (38080 ÷ 68 = 560) → pair (68, 560)
20. 70 divides 38080 (38080 ÷ 70 = 544) → pair (70, 544)
21. 80 divides 38080 (38080 ÷ 80 = 476) → pair (80, 476)
22. 85 divides 38080 (38080 ÷ 85 = 448) → pair (85, 448)
23. 112 divides 38080 (38080 ÷ 112 = 340) → pair (112, 340)
24. 119 divides 38080 (38080 ÷ 119 = 320) → pair (119, 320)
25. 136 divides 38080 (38080 ÷ 136 = 280) → pair (136, 280)
26. 140 divides 38080 (38080 ÷ 140 = 272) → pair (140, 272)
27. 160 divides 38080 (38080 ÷ 160 = 238) → pair (160, 238)
28. 170 divides 38080 (38080 ÷ 170 = 224) → pair (170, 224)
29. Collect all unique values: {1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 32, 34, 35, 40, 56, 64, 68, 70, 80, 85, 112, 119, 136, 140, 160, 170, 224, 238, 272, 280, 320, 340, 448, 476, 544, 560, 595, 680, 952, 1088, 1120, 1190, 1360, 1904, 2240, 2380, 2720, 3808, 4760, 5440, 7616, 9520, 19040, 38080} — total 56 divisors.
30. Sum: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 17 + 20 + 28 + 32 + 34 + 35 + 40 + 56 + 64 + 68 + 70 + 80 + 85 + 112 + 119 + 136 + 140 + 160 + 170 + 224 + 238 + 272 + 280 + 320 + 340 + 448 + 476 + 544 + 560 + 595 + 680 + 952 + 1088 + 1120 + 1190 + 1360 + 1904 + 2240 + 2380 + 2720 + 3808 + 4760 + 5440 + 7616 + 9520 + 19040 + 38080 = 109728.

Nearby Examples

Related Operations for 38080

• Multiples of a Number — "outward" complement of divisors
• 38080 Prime Factorization — decompose into prime building blocks
• Find GCF of 38080 and another number
• Find LCM of 38080 and another number
• Is 38080 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

Find all divisors of these numbers: