Divisors of 28080: All 80 Factors

Quick Answer

28080 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 48, 52, 54, 60, 65, 72, 78, 80, 90, 104, 108, 117, 120, 130, 135, 144, 156, 180, 195, 208, 216, 234, 240, 260, 270, 312, 351, 360, 390, 432, 468, 520, 540, 585, 624, 702, 720, 780, 936, 1040, 1080, 1170, 1404, 1560, 1755, 1872, 2160, 2340, 2808, 3120, 3510, 4680, 5616, 7020, 9360, 14040, 28080.

Sum: 104160.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
80 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 48, 52, 54, 60, 65, 72, 78, 80, 90, 104, 108, 117, 120, 130, 135, 144, 156, 180, 195, 208, 216, 234, 240, 260, 270, 312, 351, 360, 390, 432, 468, 520, 540, 585, 624, 702, 720, 780, 936, 1040, 1080, 1170, 1404, 1560, 1755, 1872, 2160, 2340, 2808, 3120, 3510, 4680, 5616, 7020, 9360, 14040, 28080

Found an error? Contact us.

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 28080

The number 28080 has 80 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  13,  15,  16,  18,  20,  24,  26,  27,  30,  36,  39,  40,  45,  48,  52,  54,  60,  65,  72,  78,  80,  90,  104,  108,  117,  120,  130,  135,  144,  156,  180,  195,  208,  216,  234,  240,  260,  270,  312,  351,  360,  390,  432,  468,  520,  540,  585,  624,  702,  720,  780,  936,  1040,  1080,  1170,  1404,  1560,  1755,  1872,  2160,  2340,  2808,  3120,  3510,  4680,  5616,  7020,  9360,  14040,  28080

Divisor Pairs of 28080

Each pair multiplies to 28080:

Factor 1×Factor 2=Product
1×28080=28080
2×14040=28080
3×9360=28080
4×7020=28080
5×5616=28080
6×4680=28080
8×3510=28080
9×3120=28080
10×2808=28080
12×2340=28080
13×2160=28080
15×1872=28080
16×1755=28080
18×1560=28080
20×1404=28080
24×1170=28080
26×1080=28080
27×1040=28080
30×936=28080
36×780=28080
39×720=28080
40×702=28080
45×624=28080
48×585=28080
52×540=28080
54×520=28080
60×468=28080
65×432=28080
72×390=28080
78×360=28080
80×351=28080
90×312=28080
104×270=28080
108×260=28080
117×240=28080
120×234=28080
130×216=28080
135×208=28080
144×195=28080
156×180=28080

Number of Divisors

The number 28080 has 80 divisors, written as τ(28080) = 80 in number theory.

Sum of Divisors

σ(28080) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 13 + 15 + 16 + 18 + 20 + 24 + 26 + 27 + 30 + 36 + 39 + 40 + 45 + 48 + 52 + 54 + 60 + 65 + 72 + 78 + 80 + 90 + 104 + 108 + 117 + 120 + 130 + 135 + 144 + 156 + 180 + 195 + 208 + 216 + 234 + 240 + 260 + 270 + 312 + 351 + 360 + 390 + 432 + 468 + 520 + 540 + 585 + 624 + 702 + 720 + 780 + 936 + 1040 + 1080 + 1170 + 1404 + 1560 + 1755 + 1872 + 2160 + 2340 + 2808 + 3120 + 3510 + 4680 + 5616 + 7020 + 9360 + 14040 + 28080 = 104160

Prime Factorization of 28080

See the full prime factorization calculator →

Properties of 28080

  • 28080 is composite.
  • 28080 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 104160.

Common Divisors with Another Number?

Looking for the divisors that 28080 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 28080

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √28080 ≈ 167.57. If i divides 28080, then both i and 28080/i are divisors.

  1. 1 divides 28080 (28080 ÷ 1 = 28080) → pair (1, 28080)
  2. 2 divides 28080 (28080 ÷ 2 = 14040) → pair (2, 14040)
  3. 3 divides 28080 (28080 ÷ 3 = 9360) → pair (3, 9360)
  4. 4 divides 28080 (28080 ÷ 4 = 7020) → pair (4, 7020)
  5. 5 divides 28080 (28080 ÷ 5 = 5616) → pair (5, 5616)
  6. 6 divides 28080 (28080 ÷ 6 = 4680) → pair (6, 4680)
  7. 8 divides 28080 (28080 ÷ 8 = 3510) → pair (8, 3510)
  8. 9 divides 28080 (28080 ÷ 9 = 3120) → pair (9, 3120)
  9. 10 divides 28080 (28080 ÷ 10 = 2808) → pair (10, 2808)
  10. 12 divides 28080 (28080 ÷ 12 = 2340) → pair (12, 2340)
  11. 13 divides 28080 (28080 ÷ 13 = 2160) → pair (13, 2160)
  12. 15 divides 28080 (28080 ÷ 15 = 1872) → pair (15, 1872)
  13. 16 divides 28080 (28080 ÷ 16 = 1755) → pair (16, 1755)
  14. 18 divides 28080 (28080 ÷ 18 = 1560) → pair (18, 1560)
  15. 20 divides 28080 (28080 ÷ 20 = 1404) → pair (20, 1404)
  16. 24 divides 28080 (28080 ÷ 24 = 1170) → pair (24, 1170)
  17. 26 divides 28080 (28080 ÷ 26 = 1080) → pair (26, 1080)
  18. 27 divides 28080 (28080 ÷ 27 = 1040) → pair (27, 1040)
  19. 30 divides 28080 (28080 ÷ 30 = 936) → pair (30, 936)
  20. 36 divides 28080 (28080 ÷ 36 = 780) → pair (36, 780)
  21. 39 divides 28080 (28080 ÷ 39 = 720) → pair (39, 720)
  22. 40 divides 28080 (28080 ÷ 40 = 702) → pair (40, 702)
  23. 45 divides 28080 (28080 ÷ 45 = 624) → pair (45, 624)
  24. 48 divides 28080 (28080 ÷ 48 = 585) → pair (48, 585)
  25. 52 divides 28080 (28080 ÷ 52 = 540) → pair (52, 540)
  26. 54 divides 28080 (28080 ÷ 54 = 520) → pair (54, 520)
  27. 60 divides 28080 (28080 ÷ 60 = 468) → pair (60, 468)
  28. 65 divides 28080 (28080 ÷ 65 = 432) → pair (65, 432)
  29. 72 divides 28080 (28080 ÷ 72 = 390) → pair (72, 390)
  30. 78 divides 28080 (28080 ÷ 78 = 360) → pair (78, 360)
  31. 80 divides 28080 (28080 ÷ 80 = 351) → pair (80, 351)
  32. 90 divides 28080 (28080 ÷ 90 = 312) → pair (90, 312)
  33. 104 divides 28080 (28080 ÷ 104 = 270) → pair (104, 270)
  34. 108 divides 28080 (28080 ÷ 108 = 260) → pair (108, 260)
  35. 117 divides 28080 (28080 ÷ 117 = 240) → pair (117, 240)
  36. 120 divides 28080 (28080 ÷ 120 = 234) → pair (120, 234)
  37. 130 divides 28080 (28080 ÷ 130 = 216) → pair (130, 216)
  38. 135 divides 28080 (28080 ÷ 135 = 208) → pair (135, 208)
  39. 144 divides 28080 (28080 ÷ 144 = 195) → pair (144, 195)
  40. 156 divides 28080 (28080 ÷ 156 = 180) → pair (156, 180)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 48, 52, 54, 60, 65, 72, 78, 80, 90, 104, 108, 117, 120, 130, 135, 144, 156, 180, 195, 208, 216, 234, 240, 260, 270, 312, 351, 360, 390, 432, 468, 520, 540, 585, 624, 702, 720, 780, 936, 1040, 1080, 1170, 1404, 1560, 1755, 1872, 2160, 2340, 2808, 3120, 3510, 4680, 5616, 7020, 9360, 14040, 28080} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 13 + 15 + 16 + 18 + 20 + 24 + 26 + 27 + 30 + 36 + 39 + 40 + 45 + 48 + 52 + 54 + 60 + 65 + 72 + 78 + 80 + 90 + 104 + 108 + 117 + 120 + 130 + 135 + 144 + 156 + 180 + 195 + 208 + 216 + 234 + 240 + 260 + 270 + 312 + 351 + 360 + 390 + 432 + 468 + 520 + 540 + 585 + 624 + 702 + 720 + 780 + 936 + 1040 + 1080 + 1170 + 1404 + 1560 + 1755 + 1872 + 2160 + 2340 + 2808 + 3120 + 3510 + 4680 + 5616 + 7020 + 9360 + 14040 + 28080 = 104160.

Nearby Examples

ndivisors countsum σ(n)
360241170
24020744
18018546
14415403
12016360
1009217
9012234
8412224

Related Operations for 28080

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

Divisors Calculation Examples

Find all divisors of these numbers:

3584 div1,9708 div2,0236 div1009 div1,0308 div1,2074 div1,2698 div1,4532 div1,75216 div1,86212 div1,9664 div26012 div

Related Calculators