Divisors of 37380: All 48 Factors

Quick Answer

37380 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 89, 105, 140, 178, 210, 267, 356, 420, 445, 534, 623, 890, 1068, 1246, 1335, 1780, 1869, 2492, 2670, 3115, 3738, 5340, 6230, 7476, 9345, 12460, 18690, 37380.

Sum: 120960.

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, 30, 35, 42, 60, 70, 84, 89, 105, 140, 178, 210, 267, 356, 420, 445, 534, 623, 890, 1068, 1246, 1335, 1780, 1869, 2492, 2670, 3115, 3738, 5340, 6230, 7476, 9345, 12460, 18690, 37380

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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 37380

The number 37380 has 48 divisors:

1,  2,  3,  4,  5,  6,  7,  10,  12,  14,  15,  20,  21,  28,  30,  35,  42,  60,  70,  84,  89,  105,  140,  178,  210,  267,  356,  420,  445,  534,  623,  890,  1068,  1246,  1335,  1780,  1869,  2492,  2670,  3115,  3738,  5340,  6230,  7476,  9345,  12460,  18690,  37380

Divisor Pairs of 37380

Each pair multiplies to 37380:

Factor 1×Factor 2=Product
1×37380=37380
2×18690=37380
3×12460=37380
4×9345=37380
5×7476=37380
6×6230=37380
7×5340=37380
10×3738=37380
12×3115=37380
14×2670=37380
15×2492=37380
20×1869=37380
21×1780=37380
28×1335=37380
30×1246=37380
35×1068=37380
42×890=37380
60×623=37380
70×534=37380
84×445=37380
89×420=37380
105×356=37380
140×267=37380
178×210=37380

Number of Divisors

The number 37380 has 48 divisors, written as τ(37380) = 48 in number theory.

Sum of Divisors

σ(37380) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 28 + 30 + 35 + 42 + 60 + 70 + 84 + 89 + 105 + 140 + 178 + 210 + 267 + 356 + 420 + 445 + 534 + 623 + 890 + 1068 + 1246 + 1335 + 1780 + 1869 + 2492 + 2670 + 3115 + 3738 + 5340 + 6230 + 7476 + 9345 + 12460 + 18690 + 37380 = 120960

Prime Factorization of 37380

See the full prime factorization calculator →

Properties of 37380

  • 37380 is composite.
  • 37380 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 120960.

Common Divisors with Another Number?

Looking for the divisors that 37380 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 37380

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √37380 ≈ 193.34. If i divides 37380, then both i and 37380/i are divisors.

  1. 1 divides 37380 (37380 ÷ 1 = 37380) → pair (1, 37380)
  2. 2 divides 37380 (37380 ÷ 2 = 18690) → pair (2, 18690)
  3. 3 divides 37380 (37380 ÷ 3 = 12460) → pair (3, 12460)
  4. 4 divides 37380 (37380 ÷ 4 = 9345) → pair (4, 9345)
  5. 5 divides 37380 (37380 ÷ 5 = 7476) → pair (5, 7476)
  6. 6 divides 37380 (37380 ÷ 6 = 6230) → pair (6, 6230)
  7. 7 divides 37380 (37380 ÷ 7 = 5340) → pair (7, 5340)
  8. 10 divides 37380 (37380 ÷ 10 = 3738) → pair (10, 3738)
  9. 12 divides 37380 (37380 ÷ 12 = 3115) → pair (12, 3115)
  10. 14 divides 37380 (37380 ÷ 14 = 2670) → pair (14, 2670)
  11. 15 divides 37380 (37380 ÷ 15 = 2492) → pair (15, 2492)
  12. 20 divides 37380 (37380 ÷ 20 = 1869) → pair (20, 1869)
  13. 21 divides 37380 (37380 ÷ 21 = 1780) → pair (21, 1780)
  14. 28 divides 37380 (37380 ÷ 28 = 1335) → pair (28, 1335)
  15. 30 divides 37380 (37380 ÷ 30 = 1246) → pair (30, 1246)
  16. 35 divides 37380 (37380 ÷ 35 = 1068) → pair (35, 1068)
  17. 42 divides 37380 (37380 ÷ 42 = 890) → pair (42, 890)
  18. 60 divides 37380 (37380 ÷ 60 = 623) → pair (60, 623)
  19. 70 divides 37380 (37380 ÷ 70 = 534) → pair (70, 534)
  20. 84 divides 37380 (37380 ÷ 84 = 445) → pair (84, 445)
  21. 89 divides 37380 (37380 ÷ 89 = 420) → pair (89, 420)
  22. 105 divides 37380 (37380 ÷ 105 = 356) → pair (105, 356)
  23. 140 divides 37380 (37380 ÷ 140 = 267) → pair (140, 267)
  24. 178 divides 37380 (37380 ÷ 178 = 210) → pair (178, 210)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 89, 105, 140, 178, 210, 267, 356, 420, 445, 534, 623, 890, 1068, 1246, 1335, 1780, 1869, 2492, 2670, 3115, 3738, 5340, 6230, 7476, 9345, 12460, 18690, 37380} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 28 + 30 + 35 + 42 + 60 + 70 + 84 + 89 + 105 + 140 + 178 + 210 + 267 + 356 + 420 + 445 + 534 + 623 + 890 + 1068 + 1246 + 1335 + 1780 + 1869 + 2492 + 2670 + 3115 + 3738 + 5340 + 6230 + 7476 + 9345 + 12460 + 18690 + 37380 = 120960.

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Related Operations for 37380

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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