Divisors of 52080: All 80 Factors

Quick Answer

52080 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 31, 35, 40, 42, 48, 56, 60, 62, 70, 80, 84, 93, 105, 112, 120, 124, 140, 155, 168, 186, 210, 217, 240, 248, 280, 310, 336, 372, 420, 434, 465, 496, 560, 620, 651, 744, 840, 868, 930, 1085, 1240, 1302, 1488, 1680, 1736, 1860, 2170, 2480, 2604, 3255, 3472, 3720, 4340, 5208, 6510, 7440, 8680, 10416, 13020, 17360, 26040, 52080.

Sum: 190464.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
80 divisors
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 31, 35, 40, 42, 48, 56, 60, 62, 70, 80, 84, 93, 105, 112, 120, 124, 140, 155, 168, 186, 210, 217, 240, 248, 280, 310, 336, 372, 420, 434, 465, 496, 560, 620, 651, 744, 840, 868, 930, 1085, 1240, 1302, 1488, 1680, 1736, 1860, 2170, 2480, 2604, 3255, 3472, 3720, 4340, 5208, 6510, 7440, 8680, 10416, 13020, 17360, 26040, 52080

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 52080

The number 52080 has 80 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  12,  14,  15,  16,  20,  21,  24,  28,  30,  31,  35,  40,  42,  48,  56,  60,  62,  70,  80,  84,  93,  105,  112,  120,  124,  140,  155,  168,  186,  210,  217,  240,  248,  280,  310,  336,  372,  420,  434,  465,  496,  560,  620,  651,  744,  840,  868,  930,  1085,  1240,  1302,  1488,  1680,  1736,  1860,  2170,  2480,  2604,  3255,  3472,  3720,  4340,  5208,  6510,  7440,  8680,  10416,  13020,  17360,  26040,  52080

Divisor Pairs of 52080

Each pair multiplies to 52080:

Factor 1×Factor 2=Product
1×52080=52080
2×26040=52080
3×17360=52080
4×13020=52080
5×10416=52080
6×8680=52080
7×7440=52080
8×6510=52080
10×5208=52080
12×4340=52080
14×3720=52080
15×3472=52080
16×3255=52080
20×2604=52080
21×2480=52080
24×2170=52080
28×1860=52080
30×1736=52080
31×1680=52080
35×1488=52080
40×1302=52080
42×1240=52080
48×1085=52080
56×930=52080
60×868=52080
62×840=52080
70×744=52080
80×651=52080
84×620=52080
93×560=52080
105×496=52080
112×465=52080
120×434=52080
124×420=52080
140×372=52080
155×336=52080
168×310=52080
186×280=52080
210×248=52080
217×240=52080

Number of Divisors

The number 52080 has 80 divisors, written as τ(52080) = 80 in number theory.

Sum of Divisors

σ(52080) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 31 + 35 + 40 + 42 + 48 + 56 + 60 + 62 + 70 + 80 + 84 + 93 + 105 + 112 + 120 + 124 + 140 + 155 + 168 + 186 + 210 + 217 + 240 + 248 + 280 + 310 + 336 + 372 + 420 + 434 + 465 + 496 + 560 + 620 + 651 + 744 + 840 + 868 + 930 + 1085 + 1240 + 1302 + 1488 + 1680 + 1736 + 1860 + 2170 + 2480 + 2604 + 3255 + 3472 + 3720 + 4340 + 5208 + 6510 + 7440 + 8680 + 10416 + 13020 + 17360 + 26040 + 52080 = 190464

Prime Factorization of 52080

See the full prime factorization calculator →

Properties of 52080

  • 52080 is composite.
  • 52080 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 190464.

Common Divisors with Another Number?

Looking for the divisors that 52080 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 52080

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √52080 ≈ 228.21. If i divides 52080, then both i and 52080/i are divisors.

  1. 1 divides 52080 (52080 ÷ 1 = 52080) → pair (1, 52080)
  2. 2 divides 52080 (52080 ÷ 2 = 26040) → pair (2, 26040)
  3. 3 divides 52080 (52080 ÷ 3 = 17360) → pair (3, 17360)
  4. 4 divides 52080 (52080 ÷ 4 = 13020) → pair (4, 13020)
  5. 5 divides 52080 (52080 ÷ 5 = 10416) → pair (5, 10416)
  6. 6 divides 52080 (52080 ÷ 6 = 8680) → pair (6, 8680)
  7. 7 divides 52080 (52080 ÷ 7 = 7440) → pair (7, 7440)
  8. 8 divides 52080 (52080 ÷ 8 = 6510) → pair (8, 6510)
  9. 10 divides 52080 (52080 ÷ 10 = 5208) → pair (10, 5208)
  10. 12 divides 52080 (52080 ÷ 12 = 4340) → pair (12, 4340)
  11. 14 divides 52080 (52080 ÷ 14 = 3720) → pair (14, 3720)
  12. 15 divides 52080 (52080 ÷ 15 = 3472) → pair (15, 3472)
  13. 16 divides 52080 (52080 ÷ 16 = 3255) → pair (16, 3255)
  14. 20 divides 52080 (52080 ÷ 20 = 2604) → pair (20, 2604)
  15. 21 divides 52080 (52080 ÷ 21 = 2480) → pair (21, 2480)
  16. 24 divides 52080 (52080 ÷ 24 = 2170) → pair (24, 2170)
  17. 28 divides 52080 (52080 ÷ 28 = 1860) → pair (28, 1860)
  18. 30 divides 52080 (52080 ÷ 30 = 1736) → pair (30, 1736)
  19. 31 divides 52080 (52080 ÷ 31 = 1680) → pair (31, 1680)
  20. 35 divides 52080 (52080 ÷ 35 = 1488) → pair (35, 1488)
  21. 40 divides 52080 (52080 ÷ 40 = 1302) → pair (40, 1302)
  22. 42 divides 52080 (52080 ÷ 42 = 1240) → pair (42, 1240)
  23. 48 divides 52080 (52080 ÷ 48 = 1085) → pair (48, 1085)
  24. 56 divides 52080 (52080 ÷ 56 = 930) → pair (56, 930)
  25. 60 divides 52080 (52080 ÷ 60 = 868) → pair (60, 868)
  26. 62 divides 52080 (52080 ÷ 62 = 840) → pair (62, 840)
  27. 70 divides 52080 (52080 ÷ 70 = 744) → pair (70, 744)
  28. 80 divides 52080 (52080 ÷ 80 = 651) → pair (80, 651)
  29. 84 divides 52080 (52080 ÷ 84 = 620) → pair (84, 620)
  30. 93 divides 52080 (52080 ÷ 93 = 560) → pair (93, 560)
  31. 105 divides 52080 (52080 ÷ 105 = 496) → pair (105, 496)
  32. 112 divides 52080 (52080 ÷ 112 = 465) → pair (112, 465)
  33. 120 divides 52080 (52080 ÷ 120 = 434) → pair (120, 434)
  34. 124 divides 52080 (52080 ÷ 124 = 420) → pair (124, 420)
  35. 140 divides 52080 (52080 ÷ 140 = 372) → pair (140, 372)
  36. 155 divides 52080 (52080 ÷ 155 = 336) → pair (155, 336)
  37. 168 divides 52080 (52080 ÷ 168 = 310) → pair (168, 310)
  38. 186 divides 52080 (52080 ÷ 186 = 280) → pair (186, 280)
  39. 210 divides 52080 (52080 ÷ 210 = 248) → pair (210, 248)
  40. 217 divides 52080 (52080 ÷ 217 = 240) → pair (217, 240)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 31, 35, 40, 42, 48, 56, 60, 62, 70, 80, 84, 93, 105, 112, 120, 124, 140, 155, 168, 186, 210, 217, 240, 248, 280, 310, 336, 372, 420, 434, 465, 496, 560, 620, 651, 744, 840, 868, 930, 1085, 1240, 1302, 1488, 1680, 1736, 1860, 2170, 2480, 2604, 3255, 3472, 3720, 4340, 5208, 6510, 7440, 8680, 10416, 13020, 17360, 26040, 52080} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 31 + 35 + 40 + 42 + 48 + 56 + 60 + 62 + 70 + 80 + 84 + 93 + 105 + 112 + 120 + 124 + 140 + 155 + 168 + 186 + 210 + 217 + 240 + 248 + 280 + 310 + 336 + 372 + 420 + 434 + 465 + 496 + 560 + 620 + 651 + 744 + 840 + 868 + 930 + 1085 + 1240 + 1302 + 1488 + 1680 + 1736 + 1860 + 2170 + 2480 + 2604 + 3255 + 3472 + 3720 + 4340 + 5208 + 6510 + 7440 + 8680 + 10416 + 13020 + 17360 + 26040 + 52080 = 190464.

Nearby Examples

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

Related Operations for 52080

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:

1,75216 div1,86212 div1,9664 div26012 div74812 div1,1858 div1,30216 div3584 div1,9708 div2,0236 div1009 div1,0308 div

Related Calculators