Divisors of 3780: All 48 Factors

Quick Answer

3780 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780.

Sum: 13440.

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, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780

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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 3780

The number 3780 has 48 divisors:

1,  2,  3,  4,  5,  6,  7,  9,  10,  12,  14,  15,  18,  20,  21,  27,  28,  30,  35,  36,  42,  45,  54,  60,  63,  70,  84,  90,  105,  108,  126,  135,  140,  180,  189,  210,  252,  270,  315,  378,  420,  540,  630,  756,  945,  1260,  1890,  3780

Divisor Pairs of 3780

Each pair multiplies to 3780:

Factor 1×Factor 2=Product
1×3780=3780
2×1890=3780
3×1260=3780
4×945=3780
5×756=3780
6×630=3780
7×540=3780
9×420=3780
10×378=3780
12×315=3780
14×270=3780
15×252=3780
18×210=3780
20×189=3780
21×180=3780
27×140=3780
28×135=3780
30×126=3780
35×108=3780
36×105=3780
42×90=3780
45×84=3780
54×70=3780
60×63=3780

Number of Divisors

The number 3780 has 48 divisors, written as τ(3780) = 48 in number theory.

Sum of Divisors

σ(3780) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 27 + 28 + 30 + 35 + 36 + 42 + 45 + 54 + 60 + 63 + 70 + 84 + 90 + 105 + 108 + 126 + 135 + 140 + 180 + 189 + 210 + 252 + 270 + 315 + 378 + 420 + 540 + 630 + 756 + 945 + 1260 + 1890 + 3780 = 13440

Prime Factorization of 3780

See the full prime factorization calculator →

Properties of 3780

  • 3780 is composite.
  • 3780 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 13440.

Common Divisors with Another Number?

Looking for the divisors that 3780 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 3780

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √3780 ≈ 61.48. If i divides 3780, then both i and 3780/i are divisors.

  1. 1 divides 3780 (3780 ÷ 1 = 3780) → pair (1, 3780)
  2. 2 divides 3780 (3780 ÷ 2 = 1890) → pair (2, 1890)
  3. 3 divides 3780 (3780 ÷ 3 = 1260) → pair (3, 1260)
  4. 4 divides 3780 (3780 ÷ 4 = 945) → pair (4, 945)
  5. 5 divides 3780 (3780 ÷ 5 = 756) → pair (5, 756)
  6. 6 divides 3780 (3780 ÷ 6 = 630) → pair (6, 630)
  7. 7 divides 3780 (3780 ÷ 7 = 540) → pair (7, 540)
  8. 9 divides 3780 (3780 ÷ 9 = 420) → pair (9, 420)
  9. 10 divides 3780 (3780 ÷ 10 = 378) → pair (10, 378)
  10. 12 divides 3780 (3780 ÷ 12 = 315) → pair (12, 315)
  11. 14 divides 3780 (3780 ÷ 14 = 270) → pair (14, 270)
  12. 15 divides 3780 (3780 ÷ 15 = 252) → pair (15, 252)
  13. 18 divides 3780 (3780 ÷ 18 = 210) → pair (18, 210)
  14. 20 divides 3780 (3780 ÷ 20 = 189) → pair (20, 189)
  15. 21 divides 3780 (3780 ÷ 21 = 180) → pair (21, 180)
  16. 27 divides 3780 (3780 ÷ 27 = 140) → pair (27, 140)
  17. 28 divides 3780 (3780 ÷ 28 = 135) → pair (28, 135)
  18. 30 divides 3780 (3780 ÷ 30 = 126) → pair (30, 126)
  19. 35 divides 3780 (3780 ÷ 35 = 108) → pair (35, 108)
  20. 36 divides 3780 (3780 ÷ 36 = 105) → pair (36, 105)
  21. 42 divides 3780 (3780 ÷ 42 = 90) → pair (42, 90)
  22. 45 divides 3780 (3780 ÷ 45 = 84) → pair (45, 84)
  23. 54 divides 3780 (3780 ÷ 54 = 70) → pair (54, 70)
  24. 60 divides 3780 (3780 ÷ 60 = 63) → pair (60, 63)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 27 + 28 + 30 + 35 + 36 + 42 + 45 + 54 + 60 + 63 + 70 + 84 + 90 + 105 + 108 + 126 + 135 + 140 + 180 + 189 + 210 + 252 + 270 + 315 + 378 + 420 + 540 + 630 + 756 + 945 + 1260 + 1890 + 3780 = 13440.

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Related Operations for 3780

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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