Divisors of 2520: All 48 Factors

Quick Answer

2520 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.

Sum: 9360.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520

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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 2520

The number 2520 has 48 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  12,  14,  15,  18,  20,  21,  24,  28,  30,  35,  36,  40,  42,  45,  56,  60,  63,  70,  72,  84,  90,  105,  120,  126,  140,  168,  180,  210,  252,  280,  315,  360,  420,  504,  630,  840,  1260,  2520

Divisor Pairs of 2520

Each pair multiplies to 2520:

Factor 1×Factor 2=Product
1×2520=2520
2×1260=2520
3×840=2520
4×630=2520
5×504=2520
6×420=2520
7×360=2520
8×315=2520
9×280=2520
10×252=2520
12×210=2520
14×180=2520
15×168=2520
18×140=2520
20×126=2520
21×120=2520
24×105=2520
28×90=2520
30×84=2520
35×72=2520
36×70=2520
40×63=2520
42×60=2520
45×56=2520

Number of Divisors

The number 2520 has 48 divisors, written as τ(2520) = 48 in number theory.

Sum of Divisors

σ(2520) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 24 + 28 + 30 + 35 + 36 + 40 + 42 + 45 + 56 + 60 + 63 + 70 + 72 + 84 + 90 + 105 + 120 + 126 + 140 + 168 + 180 + 210 + 252 + 280 + 315 + 360 + 420 + 504 + 630 + 840 + 1260 + 2520 = 9360

Prime Factorization of 2520

See the full prime factorization calculator →

Properties of 2520

  • 2520 is composite.
  • 2520 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 9360.

Common Divisors with Another Number?

Looking for the divisors that 2520 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 2520

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √2520 ≈ 50.20. If i divides 2520, then both i and 2520/i are divisors.

  1. 1 divides 2520 (2520 ÷ 1 = 2520) → pair (1, 2520)
  2. 2 divides 2520 (2520 ÷ 2 = 1260) → pair (2, 1260)
  3. 3 divides 2520 (2520 ÷ 3 = 840) → pair (3, 840)
  4. 4 divides 2520 (2520 ÷ 4 = 630) → pair (4, 630)
  5. 5 divides 2520 (2520 ÷ 5 = 504) → pair (5, 504)
  6. 6 divides 2520 (2520 ÷ 6 = 420) → pair (6, 420)
  7. 7 divides 2520 (2520 ÷ 7 = 360) → pair (7, 360)
  8. 8 divides 2520 (2520 ÷ 8 = 315) → pair (8, 315)
  9. 9 divides 2520 (2520 ÷ 9 = 280) → pair (9, 280)
  10. 10 divides 2520 (2520 ÷ 10 = 252) → pair (10, 252)
  11. 12 divides 2520 (2520 ÷ 12 = 210) → pair (12, 210)
  12. 14 divides 2520 (2520 ÷ 14 = 180) → pair (14, 180)
  13. 15 divides 2520 (2520 ÷ 15 = 168) → pair (15, 168)
  14. 18 divides 2520 (2520 ÷ 18 = 140) → pair (18, 140)
  15. 20 divides 2520 (2520 ÷ 20 = 126) → pair (20, 126)
  16. 21 divides 2520 (2520 ÷ 21 = 120) → pair (21, 120)
  17. 24 divides 2520 (2520 ÷ 24 = 105) → pair (24, 105)
  18. 28 divides 2520 (2520 ÷ 28 = 90) → pair (28, 90)
  19. 30 divides 2520 (2520 ÷ 30 = 84) → pair (30, 84)
  20. 35 divides 2520 (2520 ÷ 35 = 72) → pair (35, 72)
  21. 36 divides 2520 (2520 ÷ 36 = 70) → pair (36, 70)
  22. 40 divides 2520 (2520 ÷ 40 = 63) → pair (40, 63)
  23. 42 divides 2520 (2520 ÷ 42 = 60) → pair (42, 60)
  24. 45 divides 2520 (2520 ÷ 45 = 56) → pair (45, 56)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 24 + 28 + 30 + 35 + 36 + 40 + 42 + 45 + 56 + 60 + 63 + 70 + 72 + 84 + 90 + 105 + 120 + 126 + 140 + 168 + 180 + 210 + 252 + 280 + 315 + 360 + 420 + 504 + 630 + 840 + 1260 + 2520 = 9360.

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Related Operations for 2520

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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