Divisors of 3600: All 45 Factors

Quick Answer

3600 has 45 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600.

Sum: 12493.  3600 is a perfect square (√3600 = 60).

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
45 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600

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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 3600

The number 3600 has 45 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  18,  20,  24,  25,  30,  36,  40,  45,  48,  50,  60,  72,  75,  80,  90,  100,  120,  144,  150,  180,  200,  225,  240,  300,  360,  400,  450,  600,  720,  900,  1200,  1800,  3600

Divisor Pairs of 3600

Each pair multiplies to 3600:

Factor 1×Factor 2=Product
1×3600=3600
2×1800=3600
3×1200=3600
4×900=3600
5×720=3600
6×600=3600
8×450=3600
9×400=3600
10×360=3600
12×300=3600
15×240=3600
16×225=3600
18×200=3600
20×180=3600
24×150=3600
25×144=3600
30×120=3600
36×100=3600
40×90=3600
45×80=3600
48×75=3600
50×72=3600
60×60=3600

Note: the last pair has identical factors (60 × 60) because 3600 is a perfect square.

Number of Divisors

The number 3600 has 45 divisors, written as τ(3600) = 45 in number theory.

⚡ Notice: 3600 has an odd number of divisors — this means 3600 is a perfect square (√3600 = 60).

Sum of Divisors

σ(3600) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 48 + 50 + 60 + 72 + 75 + 80 + 90 + 100 + 120 + 144 + 150 + 180 + 200 + 225 + 240 + 300 + 360 + 400 + 450 + 600 + 720 + 900 + 1200 + 1800 + 3600 = 12493

Prime Factorization of 3600

See the full prime factorization calculator →

Properties of 3600

  • 3600 is composite.
  • 3600 is a perfect square (√3600 = 60).
  • Number of divisors: 45.
  • Sum of divisors: 12493.

Common Divisors with Another Number?

Looking for the divisors that 3600 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 3600

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √3600 ≈ 60.00. If i divides 3600, then both i and 3600/i are divisors.

  1. 1 divides 3600 (3600 ÷ 1 = 3600) → pair (1, 3600)
  2. 2 divides 3600 (3600 ÷ 2 = 1800) → pair (2, 1800)
  3. 3 divides 3600 (3600 ÷ 3 = 1200) → pair (3, 1200)
  4. 4 divides 3600 (3600 ÷ 4 = 900) → pair (4, 900)
  5. 5 divides 3600 (3600 ÷ 5 = 720) → pair (5, 720)
  6. 6 divides 3600 (3600 ÷ 6 = 600) → pair (6, 600)
  7. 8 divides 3600 (3600 ÷ 8 = 450) → pair (8, 450)
  8. 9 divides 3600 (3600 ÷ 9 = 400) → pair (9, 400)
  9. 10 divides 3600 (3600 ÷ 10 = 360) → pair (10, 360)
  10. 12 divides 3600 (3600 ÷ 12 = 300) → pair (12, 300)
  11. 15 divides 3600 (3600 ÷ 15 = 240) → pair (15, 240)
  12. 16 divides 3600 (3600 ÷ 16 = 225) → pair (16, 225)
  13. 18 divides 3600 (3600 ÷ 18 = 200) → pair (18, 200)
  14. 20 divides 3600 (3600 ÷ 20 = 180) → pair (20, 180)
  15. 24 divides 3600 (3600 ÷ 24 = 150) → pair (24, 150)
  16. 25 divides 3600 (3600 ÷ 25 = 144) → pair (25, 144)
  17. 30 divides 3600 (3600 ÷ 30 = 120) → pair (30, 120)
  18. 36 divides 3600 (3600 ÷ 36 = 100) → pair (36, 100)
  19. 40 divides 3600 (3600 ÷ 40 = 90) → pair (40, 90)
  20. 45 divides 3600 (3600 ÷ 45 = 80) → pair (45, 80)
  21. 48 divides 3600 (3600 ÷ 48 = 75) → pair (48, 75)
  22. 50 divides 3600 (3600 ÷ 50 = 72) → pair (50, 72)
  23. 60 divides 3600 (3600 ÷ 60 = 60) → pair (60, 60)
  24. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600} — total 45 divisors.
  25. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 48 + 50 + 60 + 72 + 75 + 80 + 90 + 100 + 120 + 144 + 150 + 180 + 200 + 225 + 240 + 300 + 360 + 400 + 450 + 600 + 720 + 900 + 1200 + 1800 + 3600 = 12493.

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Related Operations for 3600

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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