Divisors of 7980: All 48 Factors

Quick Answer

7980 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980.

Sum: 26880.

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, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980

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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 7980

The number 7980 has 48 divisors:

1,  2,  3,  4,  5,  6,  7,  10,  12,  14,  15,  19,  20,  21,  28,  30,  35,  38,  42,  57,  60,  70,  76,  84,  95,  105,  114,  133,  140,  190,  210,  228,  266,  285,  380,  399,  420,  532,  570,  665,  798,  1140,  1330,  1596,  1995,  2660,  3990,  7980

Divisor Pairs of 7980

Each pair multiplies to 7980:

Factor 1×Factor 2=Product
1×7980=7980
2×3990=7980
3×2660=7980
4×1995=7980
5×1596=7980
6×1330=7980
7×1140=7980
10×798=7980
12×665=7980
14×570=7980
15×532=7980
19×420=7980
20×399=7980
21×380=7980
28×285=7980
30×266=7980
35×228=7980
38×210=7980
42×190=7980
57×140=7980
60×133=7980
70×114=7980
76×105=7980
84×95=7980

Number of Divisors

The number 7980 has 48 divisors, written as τ(7980) = 48 in number theory.

Sum of Divisors

σ(7980) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 19 + 20 + 21 + 28 + 30 + 35 + 38 + 42 + 57 + 60 + 70 + 76 + 84 + 95 + 105 + 114 + 133 + 140 + 190 + 210 + 228 + 266 + 285 + 380 + 399 + 420 + 532 + 570 + 665 + 798 + 1140 + 1330 + 1596 + 1995 + 2660 + 3990 + 7980 = 26880

Prime Factorization of 7980

See the full prime factorization calculator →

Properties of 7980

  • 7980 is composite.
  • 7980 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 26880.

Common Divisors with Another Number?

Looking for the divisors that 7980 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 7980

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √7980 ≈ 89.33. If i divides 7980, then both i and 7980/i are divisors.

  1. 1 divides 7980 (7980 ÷ 1 = 7980) → pair (1, 7980)
  2. 2 divides 7980 (7980 ÷ 2 = 3990) → pair (2, 3990)
  3. 3 divides 7980 (7980 ÷ 3 = 2660) → pair (3, 2660)
  4. 4 divides 7980 (7980 ÷ 4 = 1995) → pair (4, 1995)
  5. 5 divides 7980 (7980 ÷ 5 = 1596) → pair (5, 1596)
  6. 6 divides 7980 (7980 ÷ 6 = 1330) → pair (6, 1330)
  7. 7 divides 7980 (7980 ÷ 7 = 1140) → pair (7, 1140)
  8. 10 divides 7980 (7980 ÷ 10 = 798) → pair (10, 798)
  9. 12 divides 7980 (7980 ÷ 12 = 665) → pair (12, 665)
  10. 14 divides 7980 (7980 ÷ 14 = 570) → pair (14, 570)
  11. 15 divides 7980 (7980 ÷ 15 = 532) → pair (15, 532)
  12. 19 divides 7980 (7980 ÷ 19 = 420) → pair (19, 420)
  13. 20 divides 7980 (7980 ÷ 20 = 399) → pair (20, 399)
  14. 21 divides 7980 (7980 ÷ 21 = 380) → pair (21, 380)
  15. 28 divides 7980 (7980 ÷ 28 = 285) → pair (28, 285)
  16. 30 divides 7980 (7980 ÷ 30 = 266) → pair (30, 266)
  17. 35 divides 7980 (7980 ÷ 35 = 228) → pair (35, 228)
  18. 38 divides 7980 (7980 ÷ 38 = 210) → pair (38, 210)
  19. 42 divides 7980 (7980 ÷ 42 = 190) → pair (42, 190)
  20. 57 divides 7980 (7980 ÷ 57 = 140) → pair (57, 140)
  21. 60 divides 7980 (7980 ÷ 60 = 133) → pair (60, 133)
  22. 70 divides 7980 (7980 ÷ 70 = 114) → pair (70, 114)
  23. 76 divides 7980 (7980 ÷ 76 = 105) → pair (76, 105)
  24. 84 divides 7980 (7980 ÷ 84 = 95) → pair (84, 95)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 19 + 20 + 21 + 28 + 30 + 35 + 38 + 42 + 57 + 60 + 70 + 76 + 84 + 95 + 105 + 114 + 133 + 140 + 190 + 210 + 228 + 266 + 285 + 380 + 399 + 420 + 532 + 570 + 665 + 798 + 1140 + 1330 + 1596 + 1995 + 2660 + 3990 + 7980 = 26880.

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Related Operations for 7980

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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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