Divisors of 10080: All 72 Factors

Quick Answer

10080 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080.

Sum: 39312.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
72 divisors
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080

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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 10080

The number 10080 has 72 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  12,  14,  15,  16,  18,  20,  21,  24,  28,  30,  32,  35,  36,  40,  42,  45,  48,  56,  60,  63,  70,  72,  80,  84,  90,  96,  105,  112,  120,  126,  140,  144,  160,  168,  180,  210,  224,  240,  252,  280,  288,  315,  336,  360,  420,  480,  504,  560,  630,  672,  720,  840,  1008,  1120,  1260,  1440,  1680,  2016,  2520,  3360,  5040,  10080

Divisor Pairs of 10080

Each pair multiplies to 10080:

Factor 1×Factor 2=Product
1×10080=10080
2×5040=10080
3×3360=10080
4×2520=10080
5×2016=10080
6×1680=10080
7×1440=10080
8×1260=10080
9×1120=10080
10×1008=10080
12×840=10080
14×720=10080
15×672=10080
16×630=10080
18×560=10080
20×504=10080
21×480=10080
24×420=10080
28×360=10080
30×336=10080
32×315=10080
35×288=10080
36×280=10080
40×252=10080
42×240=10080
45×224=10080
48×210=10080
56×180=10080
60×168=10080
63×160=10080
70×144=10080
72×140=10080
80×126=10080
84×120=10080
90×112=10080
96×105=10080

Number of Divisors

The number 10080 has 72 divisors, written as τ(10080) = 72 in number theory.

Sum of Divisors

σ(10080) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 24 + 28 + 30 + 32 + 35 + 36 + 40 + 42 + 45 + 48 + 56 + 60 + 63 + 70 + 72 + 80 + 84 + 90 + 96 + 105 + 112 + 120 + 126 + 140 + 144 + 160 + 168 + 180 + 210 + 224 + 240 + 252 + 280 + 288 + 315 + 336 + 360 + 420 + 480 + 504 + 560 + 630 + 672 + 720 + 840 + 1008 + 1120 + 1260 + 1440 + 1680 + 2016 + 2520 + 3360 + 5040 + 10080 = 39312

Prime Factorization of 10080

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Properties of 10080

  • 10080 is composite.
  • 10080 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 39312.

Common Divisors with Another Number?

Looking for the divisors that 10080 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 10080

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √10080 ≈ 100.40. If i divides 10080, then both i and 10080/i are divisors.

  1. 1 divides 10080 (10080 ÷ 1 = 10080) → pair (1, 10080)
  2. 2 divides 10080 (10080 ÷ 2 = 5040) → pair (2, 5040)
  3. 3 divides 10080 (10080 ÷ 3 = 3360) → pair (3, 3360)
  4. 4 divides 10080 (10080 ÷ 4 = 2520) → pair (4, 2520)
  5. 5 divides 10080 (10080 ÷ 5 = 2016) → pair (5, 2016)
  6. 6 divides 10080 (10080 ÷ 6 = 1680) → pair (6, 1680)
  7. 7 divides 10080 (10080 ÷ 7 = 1440) → pair (7, 1440)
  8. 8 divides 10080 (10080 ÷ 8 = 1260) → pair (8, 1260)
  9. 9 divides 10080 (10080 ÷ 9 = 1120) → pair (9, 1120)
  10. 10 divides 10080 (10080 ÷ 10 = 1008) → pair (10, 1008)
  11. 12 divides 10080 (10080 ÷ 12 = 840) → pair (12, 840)
  12. 14 divides 10080 (10080 ÷ 14 = 720) → pair (14, 720)
  13. 15 divides 10080 (10080 ÷ 15 = 672) → pair (15, 672)
  14. 16 divides 10080 (10080 ÷ 16 = 630) → pair (16, 630)
  15. 18 divides 10080 (10080 ÷ 18 = 560) → pair (18, 560)
  16. 20 divides 10080 (10080 ÷ 20 = 504) → pair (20, 504)
  17. 21 divides 10080 (10080 ÷ 21 = 480) → pair (21, 480)
  18. 24 divides 10080 (10080 ÷ 24 = 420) → pair (24, 420)
  19. 28 divides 10080 (10080 ÷ 28 = 360) → pair (28, 360)
  20. 30 divides 10080 (10080 ÷ 30 = 336) → pair (30, 336)
  21. 32 divides 10080 (10080 ÷ 32 = 315) → pair (32, 315)
  22. 35 divides 10080 (10080 ÷ 35 = 288) → pair (35, 288)
  23. 36 divides 10080 (10080 ÷ 36 = 280) → pair (36, 280)
  24. 40 divides 10080 (10080 ÷ 40 = 252) → pair (40, 252)
  25. 42 divides 10080 (10080 ÷ 42 = 240) → pair (42, 240)
  26. 45 divides 10080 (10080 ÷ 45 = 224) → pair (45, 224)
  27. 48 divides 10080 (10080 ÷ 48 = 210) → pair (48, 210)
  28. 56 divides 10080 (10080 ÷ 56 = 180) → pair (56, 180)
  29. 60 divides 10080 (10080 ÷ 60 = 168) → pair (60, 168)
  30. 63 divides 10080 (10080 ÷ 63 = 160) → pair (63, 160)
  31. 70 divides 10080 (10080 ÷ 70 = 144) → pair (70, 144)
  32. 72 divides 10080 (10080 ÷ 72 = 140) → pair (72, 140)
  33. 80 divides 10080 (10080 ÷ 80 = 126) → pair (80, 126)
  34. 84 divides 10080 (10080 ÷ 84 = 120) → pair (84, 120)
  35. 90 divides 10080 (10080 ÷ 90 = 112) → pair (90, 112)
  36. 96 divides 10080 (10080 ÷ 96 = 105) → pair (96, 105)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 24 + 28 + 30 + 32 + 35 + 36 + 40 + 42 + 45 + 48 + 56 + 60 + 63 + 70 + 72 + 80 + 84 + 90 + 96 + 105 + 112 + 120 + 126 + 140 + 144 + 160 + 168 + 180 + 210 + 224 + 240 + 252 + 280 + 288 + 315 + 336 + 360 + 420 + 480 + 504 + 560 + 630 + 672 + 720 + 840 + 1008 + 1120 + 1260 + 1440 + 1680 + 2016 + 2520 + 3360 + 5040 + 10080 = 39312.

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Related Operations for 10080

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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