Divisors of 12180: All 48 Factors

Quick Answer

12180 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 29, 30, 35, 42, 58, 60, 70, 84, 87, 105, 116, 140, 145, 174, 203, 210, 290, 348, 406, 420, 435, 580, 609, 812, 870, 1015, 1218, 1740, 2030, 2436, 3045, 4060, 6090, 12180.

Sum: 40320.

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, 20, 21, 28, 29, 30, 35, 42, 58, 60, 70, 84, 87, 105, 116, 140, 145, 174, 203, 210, 290, 348, 406, 420, 435, 580, 609, 812, 870, 1015, 1218, 1740, 2030, 2436, 3045, 4060, 6090, 12180

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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 12180

The number 12180 has 48 divisors:

1,  2,  3,  4,  5,  6,  7,  10,  12,  14,  15,  20,  21,  28,  29,  30,  35,  42,  58,  60,  70,  84,  87,  105,  116,  140,  145,  174,  203,  210,  290,  348,  406,  420,  435,  580,  609,  812,  870,  1015,  1218,  1740,  2030,  2436,  3045,  4060,  6090,  12180

Divisor Pairs of 12180

Each pair multiplies to 12180:

Factor 1×Factor 2=Product
1×12180=12180
2×6090=12180
3×4060=12180
4×3045=12180
5×2436=12180
6×2030=12180
7×1740=12180
10×1218=12180
12×1015=12180
14×870=12180
15×812=12180
20×609=12180
21×580=12180
28×435=12180
29×420=12180
30×406=12180
35×348=12180
42×290=12180
58×210=12180
60×203=12180
70×174=12180
84×145=12180
87×140=12180
105×116=12180

Number of Divisors

The number 12180 has 48 divisors, written as τ(12180) = 48 in number theory.

Sum of Divisors

σ(12180) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 28 + 29 + 30 + 35 + 42 + 58 + 60 + 70 + 84 + 87 + 105 + 116 + 140 + 145 + 174 + 203 + 210 + 290 + 348 + 406 + 420 + 435 + 580 + 609 + 812 + 870 + 1015 + 1218 + 1740 + 2030 + 2436 + 3045 + 4060 + 6090 + 12180 = 40320

Prime Factorization of 12180

See the full prime factorization calculator →

Properties of 12180

  • 12180 is composite.
  • 12180 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 40320.

Common Divisors with Another Number?

Looking for the divisors that 12180 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 12180

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √12180 ≈ 110.36. If i divides 12180, then both i and 12180/i are divisors.

  1. 1 divides 12180 (12180 ÷ 1 = 12180) → pair (1, 12180)
  2. 2 divides 12180 (12180 ÷ 2 = 6090) → pair (2, 6090)
  3. 3 divides 12180 (12180 ÷ 3 = 4060) → pair (3, 4060)
  4. 4 divides 12180 (12180 ÷ 4 = 3045) → pair (4, 3045)
  5. 5 divides 12180 (12180 ÷ 5 = 2436) → pair (5, 2436)
  6. 6 divides 12180 (12180 ÷ 6 = 2030) → pair (6, 2030)
  7. 7 divides 12180 (12180 ÷ 7 = 1740) → pair (7, 1740)
  8. 10 divides 12180 (12180 ÷ 10 = 1218) → pair (10, 1218)
  9. 12 divides 12180 (12180 ÷ 12 = 1015) → pair (12, 1015)
  10. 14 divides 12180 (12180 ÷ 14 = 870) → pair (14, 870)
  11. 15 divides 12180 (12180 ÷ 15 = 812) → pair (15, 812)
  12. 20 divides 12180 (12180 ÷ 20 = 609) → pair (20, 609)
  13. 21 divides 12180 (12180 ÷ 21 = 580) → pair (21, 580)
  14. 28 divides 12180 (12180 ÷ 28 = 435) → pair (28, 435)
  15. 29 divides 12180 (12180 ÷ 29 = 420) → pair (29, 420)
  16. 30 divides 12180 (12180 ÷ 30 = 406) → pair (30, 406)
  17. 35 divides 12180 (12180 ÷ 35 = 348) → pair (35, 348)
  18. 42 divides 12180 (12180 ÷ 42 = 290) → pair (42, 290)
  19. 58 divides 12180 (12180 ÷ 58 = 210) → pair (58, 210)
  20. 60 divides 12180 (12180 ÷ 60 = 203) → pair (60, 203)
  21. 70 divides 12180 (12180 ÷ 70 = 174) → pair (70, 174)
  22. 84 divides 12180 (12180 ÷ 84 = 145) → pair (84, 145)
  23. 87 divides 12180 (12180 ÷ 87 = 140) → pair (87, 140)
  24. 105 divides 12180 (12180 ÷ 105 = 116) → pair (105, 116)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 29, 30, 35, 42, 58, 60, 70, 84, 87, 105, 116, 140, 145, 174, 203, 210, 290, 348, 406, 420, 435, 580, 609, 812, 870, 1015, 1218, 1740, 2030, 2436, 3045, 4060, 6090, 12180} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 28 + 29 + 30 + 35 + 42 + 58 + 60 + 70 + 84 + 87 + 105 + 116 + 140 + 145 + 174 + 203 + 210 + 290 + 348 + 406 + 420 + 435 + 580 + 609 + 812 + 870 + 1015 + 1218 + 1740 + 2030 + 2436 + 3045 + 4060 + 6090 + 12180 = 40320.

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Related Operations for 12180

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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