Divisors of 15120: All 80 Factors

Quick Answer

15120 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 84, 90, 105, 108, 112, 120, 126, 135, 140, 144, 168, 180, 189, 210, 216, 240, 252, 270, 280, 315, 336, 360, 378, 420, 432, 504, 540, 560, 630, 720, 756, 840, 945, 1008, 1080, 1260, 1512, 1680, 1890, 2160, 2520, 3024, 3780, 5040, 7560, 15120.

Sum: 59520.

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, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 84, 90, 105, 108, 112, 120, 126, 135, 140, 144, 168, 180, 189, 210, 216, 240, 252, 270, 280, 315, 336, 360, 378, 420, 432, 504, 540, 560, 630, 720, 756, 840, 945, 1008, 1080, 1260, 1512, 1680, 1890, 2160, 2520, 3024, 3780, 5040, 7560, 15120

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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 15120

The number 15120 has 80 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  12,  14,  15,  16,  18,  20,  21,  24,  27,  28,  30,  35,  36,  40,  42,  45,  48,  54,  56,  60,  63,  70,  72,  80,  84,  90,  105,  108,  112,  120,  126,  135,  140,  144,  168,  180,  189,  210,  216,  240,  252,  270,  280,  315,  336,  360,  378,  420,  432,  504,  540,  560,  630,  720,  756,  840,  945,  1008,  1080,  1260,  1512,  1680,  1890,  2160,  2520,  3024,  3780,  5040,  7560,  15120

Divisor Pairs of 15120

Each pair multiplies to 15120:

Factor 1×Factor 2=Product
1×15120=15120
2×7560=15120
3×5040=15120
4×3780=15120
5×3024=15120
6×2520=15120
7×2160=15120
8×1890=15120
9×1680=15120
10×1512=15120
12×1260=15120
14×1080=15120
15×1008=15120
16×945=15120
18×840=15120
20×756=15120
21×720=15120
24×630=15120
27×560=15120
28×540=15120
30×504=15120
35×432=15120
36×420=15120
40×378=15120
42×360=15120
45×336=15120
48×315=15120
54×280=15120
56×270=15120
60×252=15120
63×240=15120
70×216=15120
72×210=15120
80×189=15120
84×180=15120
90×168=15120
105×144=15120
108×140=15120
112×135=15120
120×126=15120

Number of Divisors

The number 15120 has 80 divisors, written as τ(15120) = 80 in number theory.

Sum of Divisors

σ(15120) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 24 + 27 + 28 + 30 + 35 + 36 + 40 + 42 + 45 + 48 + 54 + 56 + 60 + 63 + 70 + 72 + 80 + 84 + 90 + 105 + 108 + 112 + 120 + 126 + 135 + 140 + 144 + 168 + 180 + 189 + 210 + 216 + 240 + 252 + 270 + 280 + 315 + 336 + 360 + 378 + 420 + 432 + 504 + 540 + 560 + 630 + 720 + 756 + 840 + 945 + 1008 + 1080 + 1260 + 1512 + 1680 + 1890 + 2160 + 2520 + 3024 + 3780 + 5040 + 7560 + 15120 = 59520

Prime Factorization of 15120

See the full prime factorization calculator →

Properties of 15120

  • 15120 is composite.
  • 15120 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 59520.

Common Divisors with Another Number?

Looking for the divisors that 15120 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 15120

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √15120 ≈ 122.96. If i divides 15120, then both i and 15120/i are divisors.

  1. 1 divides 15120 (15120 ÷ 1 = 15120) → pair (1, 15120)
  2. 2 divides 15120 (15120 ÷ 2 = 7560) → pair (2, 7560)
  3. 3 divides 15120 (15120 ÷ 3 = 5040) → pair (3, 5040)
  4. 4 divides 15120 (15120 ÷ 4 = 3780) → pair (4, 3780)
  5. 5 divides 15120 (15120 ÷ 5 = 3024) → pair (5, 3024)
  6. 6 divides 15120 (15120 ÷ 6 = 2520) → pair (6, 2520)
  7. 7 divides 15120 (15120 ÷ 7 = 2160) → pair (7, 2160)
  8. 8 divides 15120 (15120 ÷ 8 = 1890) → pair (8, 1890)
  9. 9 divides 15120 (15120 ÷ 9 = 1680) → pair (9, 1680)
  10. 10 divides 15120 (15120 ÷ 10 = 1512) → pair (10, 1512)
  11. 12 divides 15120 (15120 ÷ 12 = 1260) → pair (12, 1260)
  12. 14 divides 15120 (15120 ÷ 14 = 1080) → pair (14, 1080)
  13. 15 divides 15120 (15120 ÷ 15 = 1008) → pair (15, 1008)
  14. 16 divides 15120 (15120 ÷ 16 = 945) → pair (16, 945)
  15. 18 divides 15120 (15120 ÷ 18 = 840) → pair (18, 840)
  16. 20 divides 15120 (15120 ÷ 20 = 756) → pair (20, 756)
  17. 21 divides 15120 (15120 ÷ 21 = 720) → pair (21, 720)
  18. 24 divides 15120 (15120 ÷ 24 = 630) → pair (24, 630)
  19. 27 divides 15120 (15120 ÷ 27 = 560) → pair (27, 560)
  20. 28 divides 15120 (15120 ÷ 28 = 540) → pair (28, 540)
  21. 30 divides 15120 (15120 ÷ 30 = 504) → pair (30, 504)
  22. 35 divides 15120 (15120 ÷ 35 = 432) → pair (35, 432)
  23. 36 divides 15120 (15120 ÷ 36 = 420) → pair (36, 420)
  24. 40 divides 15120 (15120 ÷ 40 = 378) → pair (40, 378)
  25. 42 divides 15120 (15120 ÷ 42 = 360) → pair (42, 360)
  26. 45 divides 15120 (15120 ÷ 45 = 336) → pair (45, 336)
  27. 48 divides 15120 (15120 ÷ 48 = 315) → pair (48, 315)
  28. 54 divides 15120 (15120 ÷ 54 = 280) → pair (54, 280)
  29. 56 divides 15120 (15120 ÷ 56 = 270) → pair (56, 270)
  30. 60 divides 15120 (15120 ÷ 60 = 252) → pair (60, 252)
  31. 63 divides 15120 (15120 ÷ 63 = 240) → pair (63, 240)
  32. 70 divides 15120 (15120 ÷ 70 = 216) → pair (70, 216)
  33. 72 divides 15120 (15120 ÷ 72 = 210) → pair (72, 210)
  34. 80 divides 15120 (15120 ÷ 80 = 189) → pair (80, 189)
  35. 84 divides 15120 (15120 ÷ 84 = 180) → pair (84, 180)
  36. 90 divides 15120 (15120 ÷ 90 = 168) → pair (90, 168)
  37. 105 divides 15120 (15120 ÷ 105 = 144) → pair (105, 144)
  38. 108 divides 15120 (15120 ÷ 108 = 140) → pair (108, 140)
  39. 112 divides 15120 (15120 ÷ 112 = 135) → pair (112, 135)
  40. 120 divides 15120 (15120 ÷ 120 = 126) → pair (120, 126)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 84, 90, 105, 108, 112, 120, 126, 135, 140, 144, 168, 180, 189, 210, 216, 240, 252, 270, 280, 315, 336, 360, 378, 420, 432, 504, 540, 560, 630, 720, 756, 840, 945, 1008, 1080, 1260, 1512, 1680, 1890, 2160, 2520, 3024, 3780, 5040, 7560, 15120} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 24 + 27 + 28 + 30 + 35 + 36 + 40 + 42 + 45 + 48 + 54 + 56 + 60 + 63 + 70 + 72 + 80 + 84 + 90 + 105 + 108 + 112 + 120 + 126 + 135 + 140 + 144 + 168 + 180 + 189 + 210 + 216 + 240 + 252 + 270 + 280 + 315 + 336 + 360 + 378 + 420 + 432 + 504 + 540 + 560 + 630 + 720 + 756 + 840 + 945 + 1008 + 1080 + 1260 + 1512 + 1680 + 1890 + 2160 + 2520 + 3024 + 3780 + 5040 + 7560 + 15120 = 59520.

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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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