Divisors of 48720: All 80 Factors

Quick Answer

48720 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 29, 30, 35, 40, 42, 48, 56, 58, 60, 70, 80, 84, 87, 105, 112, 116, 120, 140, 145, 168, 174, 203, 210, 232, 240, 280, 290, 336, 348, 406, 420, 435, 464, 560, 580, 609, 696, 812, 840, 870, 1015, 1160, 1218, 1392, 1624, 1680, 1740, 2030, 2320, 2436, 3045, 3248, 3480, 4060, 4872, 6090, 6960, 8120, 9744, 12180, 16240, 24360, 48720.

Sum: 178560.

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, 29, 30, 35, 40, 42, 48, 56, 58, 60, 70, 80, 84, 87, 105, 112, 116, 120, 140, 145, 168, 174, 203, 210, 232, 240, 280, 290, 336, 348, 406, 420, 435, 464, 560, 580, 609, 696, 812, 840, 870, 1015, 1160, 1218, 1392, 1624, 1680, 1740, 2030, 2320, 2436, 3045, 3248, 3480, 4060, 4872, 6090, 6960, 8120, 9744, 12180, 16240, 24360, 48720

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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 48720

The number 48720 has 80 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  12,  14,  15,  16,  20,  21,  24,  28,  29,  30,  35,  40,  42,  48,  56,  58,  60,  70,  80,  84,  87,  105,  112,  116,  120,  140,  145,  168,  174,  203,  210,  232,  240,  280,  290,  336,  348,  406,  420,  435,  464,  560,  580,  609,  696,  812,  840,  870,  1015,  1160,  1218,  1392,  1624,  1680,  1740,  2030,  2320,  2436,  3045,  3248,  3480,  4060,  4872,  6090,  6960,  8120,  9744,  12180,  16240,  24360,  48720

Divisor Pairs of 48720

Each pair multiplies to 48720:

Factor 1×Factor 2=Product
1×48720=48720
2×24360=48720
3×16240=48720
4×12180=48720
5×9744=48720
6×8120=48720
7×6960=48720
8×6090=48720
10×4872=48720
12×4060=48720
14×3480=48720
15×3248=48720
16×3045=48720
20×2436=48720
21×2320=48720
24×2030=48720
28×1740=48720
29×1680=48720
30×1624=48720
35×1392=48720
40×1218=48720
42×1160=48720
48×1015=48720
56×870=48720
58×840=48720
60×812=48720
70×696=48720
80×609=48720
84×580=48720
87×560=48720
105×464=48720
112×435=48720
116×420=48720
120×406=48720
140×348=48720
145×336=48720
168×290=48720
174×280=48720
203×240=48720
210×232=48720

Number of Divisors

The number 48720 has 80 divisors, written as τ(48720) = 80 in number theory.

Sum of Divisors

σ(48720) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 29 + 30 + 35 + 40 + 42 + 48 + 56 + 58 + 60 + 70 + 80 + 84 + 87 + 105 + 112 + 116 + 120 + 140 + 145 + 168 + 174 + 203 + 210 + 232 + 240 + 280 + 290 + 336 + 348 + 406 + 420 + 435 + 464 + 560 + 580 + 609 + 696 + 812 + 840 + 870 + 1015 + 1160 + 1218 + 1392 + 1624 + 1680 + 1740 + 2030 + 2320 + 2436 + 3045 + 3248 + 3480 + 4060 + 4872 + 6090 + 6960 + 8120 + 9744 + 12180 + 16240 + 24360 + 48720 = 178560

Prime Factorization of 48720

See the full prime factorization calculator →

Properties of 48720

  • 48720 is composite.
  • 48720 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 178560.

Common Divisors with Another Number?

Looking for the divisors that 48720 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 48720

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √48720 ≈ 220.73. If i divides 48720, then both i and 48720/i are divisors.

  1. 1 divides 48720 (48720 ÷ 1 = 48720) → pair (1, 48720)
  2. 2 divides 48720 (48720 ÷ 2 = 24360) → pair (2, 24360)
  3. 3 divides 48720 (48720 ÷ 3 = 16240) → pair (3, 16240)
  4. 4 divides 48720 (48720 ÷ 4 = 12180) → pair (4, 12180)
  5. 5 divides 48720 (48720 ÷ 5 = 9744) → pair (5, 9744)
  6. 6 divides 48720 (48720 ÷ 6 = 8120) → pair (6, 8120)
  7. 7 divides 48720 (48720 ÷ 7 = 6960) → pair (7, 6960)
  8. 8 divides 48720 (48720 ÷ 8 = 6090) → pair (8, 6090)
  9. 10 divides 48720 (48720 ÷ 10 = 4872) → pair (10, 4872)
  10. 12 divides 48720 (48720 ÷ 12 = 4060) → pair (12, 4060)
  11. 14 divides 48720 (48720 ÷ 14 = 3480) → pair (14, 3480)
  12. 15 divides 48720 (48720 ÷ 15 = 3248) → pair (15, 3248)
  13. 16 divides 48720 (48720 ÷ 16 = 3045) → pair (16, 3045)
  14. 20 divides 48720 (48720 ÷ 20 = 2436) → pair (20, 2436)
  15. 21 divides 48720 (48720 ÷ 21 = 2320) → pair (21, 2320)
  16. 24 divides 48720 (48720 ÷ 24 = 2030) → pair (24, 2030)
  17. 28 divides 48720 (48720 ÷ 28 = 1740) → pair (28, 1740)
  18. 29 divides 48720 (48720 ÷ 29 = 1680) → pair (29, 1680)
  19. 30 divides 48720 (48720 ÷ 30 = 1624) → pair (30, 1624)
  20. 35 divides 48720 (48720 ÷ 35 = 1392) → pair (35, 1392)
  21. 40 divides 48720 (48720 ÷ 40 = 1218) → pair (40, 1218)
  22. 42 divides 48720 (48720 ÷ 42 = 1160) → pair (42, 1160)
  23. 48 divides 48720 (48720 ÷ 48 = 1015) → pair (48, 1015)
  24. 56 divides 48720 (48720 ÷ 56 = 870) → pair (56, 870)
  25. 58 divides 48720 (48720 ÷ 58 = 840) → pair (58, 840)
  26. 60 divides 48720 (48720 ÷ 60 = 812) → pair (60, 812)
  27. 70 divides 48720 (48720 ÷ 70 = 696) → pair (70, 696)
  28. 80 divides 48720 (48720 ÷ 80 = 609) → pair (80, 609)
  29. 84 divides 48720 (48720 ÷ 84 = 580) → pair (84, 580)
  30. 87 divides 48720 (48720 ÷ 87 = 560) → pair (87, 560)
  31. 105 divides 48720 (48720 ÷ 105 = 464) → pair (105, 464)
  32. 112 divides 48720 (48720 ÷ 112 = 435) → pair (112, 435)
  33. 116 divides 48720 (48720 ÷ 116 = 420) → pair (116, 420)
  34. 120 divides 48720 (48720 ÷ 120 = 406) → pair (120, 406)
  35. 140 divides 48720 (48720 ÷ 140 = 348) → pair (140, 348)
  36. 145 divides 48720 (48720 ÷ 145 = 336) → pair (145, 336)
  37. 168 divides 48720 (48720 ÷ 168 = 290) → pair (168, 290)
  38. 174 divides 48720 (48720 ÷ 174 = 280) → pair (174, 280)
  39. 203 divides 48720 (48720 ÷ 203 = 240) → pair (203, 240)
  40. 210 divides 48720 (48720 ÷ 210 = 232) → pair (210, 232)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 29, 30, 35, 40, 42, 48, 56, 58, 60, 70, 80, 84, 87, 105, 112, 116, 120, 140, 145, 168, 174, 203, 210, 232, 240, 280, 290, 336, 348, 406, 420, 435, 464, 560, 580, 609, 696, 812, 840, 870, 1015, 1160, 1218, 1392, 1624, 1680, 1740, 2030, 2320, 2436, 3045, 3248, 3480, 4060, 4872, 6090, 6960, 8120, 9744, 12180, 16240, 24360, 48720} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 29 + 30 + 35 + 40 + 42 + 48 + 56 + 58 + 60 + 70 + 80 + 84 + 87 + 105 + 112 + 116 + 120 + 140 + 145 + 168 + 174 + 203 + 210 + 232 + 240 + 280 + 290 + 336 + 348 + 406 + 420 + 435 + 464 + 560 + 580 + 609 + 696 + 812 + 840 + 870 + 1015 + 1160 + 1218 + 1392 + 1624 + 1680 + 1740 + 2030 + 2320 + 2436 + 3045 + 3248 + 3480 + 4060 + 4872 + 6090 + 6960 + 8120 + 9744 + 12180 + 16240 + 24360 + 48720 = 178560.

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Related Operations for 48720

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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