Divisors of 37080: All 48 Factors

Quick Answer

37080 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 103, 120, 180, 206, 309, 360, 412, 515, 618, 824, 927, 1030, 1236, 1545, 1854, 2060, 2472, 3090, 3708, 4120, 4635, 6180, 7416, 9270, 12360, 18540, 37080.

Sum: 121680.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 103, 120, 180, 206, 309, 360, 412, 515, 618, 824, 927, 1030, 1236, 1545, 1854, 2060, 2472, 3090, 3708, 4120, 4635, 6180, 7416, 9270, 12360, 18540, 37080

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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 37080

The number 37080 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  18,  20,  24,  30,  36,  40,  45,  60,  72,  90,  103,  120,  180,  206,  309,  360,  412,  515,  618,  824,  927,  1030,  1236,  1545,  1854,  2060,  2472,  3090,  3708,  4120,  4635,  6180,  7416,  9270,  12360,  18540,  37080

Divisor Pairs of 37080

Each pair multiplies to 37080:

Factor 1×Factor 2=Product
1×37080=37080
2×18540=37080
3×12360=37080
4×9270=37080
5×7416=37080
6×6180=37080
8×4635=37080
9×4120=37080
10×3708=37080
12×3090=37080
15×2472=37080
18×2060=37080
20×1854=37080
24×1545=37080
30×1236=37080
36×1030=37080
40×927=37080
45×824=37080
60×618=37080
72×515=37080
90×412=37080
103×360=37080
120×309=37080
180×206=37080

Number of Divisors

The number 37080 has 48 divisors, written as τ(37080) = 48 in number theory.

Sum of Divisors

σ(37080) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 60 + 72 + 90 + 103 + 120 + 180 + 206 + 309 + 360 + 412 + 515 + 618 + 824 + 927 + 1030 + 1236 + 1545 + 1854 + 2060 + 2472 + 3090 + 3708 + 4120 + 4635 + 6180 + 7416 + 9270 + 12360 + 18540 + 37080 = 121680

Prime Factorization of 37080

See the full prime factorization calculator →

Properties of 37080

  • 37080 is composite.
  • 37080 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 121680.

Common Divisors with Another Number?

Looking for the divisors that 37080 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 37080

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √37080 ≈ 192.56. If i divides 37080, then both i and 37080/i are divisors.

  1. 1 divides 37080 (37080 ÷ 1 = 37080) → pair (1, 37080)
  2. 2 divides 37080 (37080 ÷ 2 = 18540) → pair (2, 18540)
  3. 3 divides 37080 (37080 ÷ 3 = 12360) → pair (3, 12360)
  4. 4 divides 37080 (37080 ÷ 4 = 9270) → pair (4, 9270)
  5. 5 divides 37080 (37080 ÷ 5 = 7416) → pair (5, 7416)
  6. 6 divides 37080 (37080 ÷ 6 = 6180) → pair (6, 6180)
  7. 8 divides 37080 (37080 ÷ 8 = 4635) → pair (8, 4635)
  8. 9 divides 37080 (37080 ÷ 9 = 4120) → pair (9, 4120)
  9. 10 divides 37080 (37080 ÷ 10 = 3708) → pair (10, 3708)
  10. 12 divides 37080 (37080 ÷ 12 = 3090) → pair (12, 3090)
  11. 15 divides 37080 (37080 ÷ 15 = 2472) → pair (15, 2472)
  12. 18 divides 37080 (37080 ÷ 18 = 2060) → pair (18, 2060)
  13. 20 divides 37080 (37080 ÷ 20 = 1854) → pair (20, 1854)
  14. 24 divides 37080 (37080 ÷ 24 = 1545) → pair (24, 1545)
  15. 30 divides 37080 (37080 ÷ 30 = 1236) → pair (30, 1236)
  16. 36 divides 37080 (37080 ÷ 36 = 1030) → pair (36, 1030)
  17. 40 divides 37080 (37080 ÷ 40 = 927) → pair (40, 927)
  18. 45 divides 37080 (37080 ÷ 45 = 824) → pair (45, 824)
  19. 60 divides 37080 (37080 ÷ 60 = 618) → pair (60, 618)
  20. 72 divides 37080 (37080 ÷ 72 = 515) → pair (72, 515)
  21. 90 divides 37080 (37080 ÷ 90 = 412) → pair (90, 412)
  22. 103 divides 37080 (37080 ÷ 103 = 360) → pair (103, 360)
  23. 120 divides 37080 (37080 ÷ 120 = 309) → pair (120, 309)
  24. 180 divides 37080 (37080 ÷ 180 = 206) → pair (180, 206)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 103, 120, 180, 206, 309, 360, 412, 515, 618, 824, 927, 1030, 1236, 1545, 1854, 2060, 2472, 3090, 3708, 4120, 4635, 6180, 7416, 9270, 12360, 18540, 37080} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 60 + 72 + 90 + 103 + 120 + 180 + 206 + 309 + 360 + 412 + 515 + 618 + 824 + 927 + 1030 + 1236 + 1545 + 1854 + 2060 + 2472 + 3090 + 3708 + 4120 + 4635 + 6180 + 7416 + 9270 + 12360 + 18540 + 37080 = 121680.

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Related Operations for 37080

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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