Divisors of 32040: All 48 Factors

Quick Answer

32040 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 89, 90, 120, 178, 180, 267, 356, 360, 445, 534, 712, 801, 890, 1068, 1335, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 5340, 6408, 8010, 10680, 16020, 32040.

Sum: 105300.

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, 89, 90, 120, 178, 180, 267, 356, 360, 445, 534, 712, 801, 890, 1068, 1335, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 5340, 6408, 8010, 10680, 16020, 32040

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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 32040

The number 32040 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  18,  20,  24,  30,  36,  40,  45,  60,  72,  89,  90,  120,  178,  180,  267,  356,  360,  445,  534,  712,  801,  890,  1068,  1335,  1602,  1780,  2136,  2670,  3204,  3560,  4005,  5340,  6408,  8010,  10680,  16020,  32040

Divisor Pairs of 32040

Each pair multiplies to 32040:

Factor 1×Factor 2=Product
1×32040=32040
2×16020=32040
3×10680=32040
4×8010=32040
5×6408=32040
6×5340=32040
8×4005=32040
9×3560=32040
10×3204=32040
12×2670=32040
15×2136=32040
18×1780=32040
20×1602=32040
24×1335=32040
30×1068=32040
36×890=32040
40×801=32040
45×712=32040
60×534=32040
72×445=32040
89×360=32040
90×356=32040
120×267=32040
178×180=32040

Number of Divisors

The number 32040 has 48 divisors, written as τ(32040) = 48 in number theory.

Sum of Divisors

σ(32040) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 60 + 72 + 89 + 90 + 120 + 178 + 180 + 267 + 356 + 360 + 445 + 534 + 712 + 801 + 890 + 1068 + 1335 + 1602 + 1780 + 2136 + 2670 + 3204 + 3560 + 4005 + 5340 + 6408 + 8010 + 10680 + 16020 + 32040 = 105300

Prime Factorization of 32040

See the full prime factorization calculator →

Properties of 32040

  • 32040 is composite.
  • 32040 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 105300.

Common Divisors with Another Number?

Looking for the divisors that 32040 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 32040

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √32040 ≈ 179.00. If i divides 32040, then both i and 32040/i are divisors.

  1. 1 divides 32040 (32040 ÷ 1 = 32040) → pair (1, 32040)
  2. 2 divides 32040 (32040 ÷ 2 = 16020) → pair (2, 16020)
  3. 3 divides 32040 (32040 ÷ 3 = 10680) → pair (3, 10680)
  4. 4 divides 32040 (32040 ÷ 4 = 8010) → pair (4, 8010)
  5. 5 divides 32040 (32040 ÷ 5 = 6408) → pair (5, 6408)
  6. 6 divides 32040 (32040 ÷ 6 = 5340) → pair (6, 5340)
  7. 8 divides 32040 (32040 ÷ 8 = 4005) → pair (8, 4005)
  8. 9 divides 32040 (32040 ÷ 9 = 3560) → pair (9, 3560)
  9. 10 divides 32040 (32040 ÷ 10 = 3204) → pair (10, 3204)
  10. 12 divides 32040 (32040 ÷ 12 = 2670) → pair (12, 2670)
  11. 15 divides 32040 (32040 ÷ 15 = 2136) → pair (15, 2136)
  12. 18 divides 32040 (32040 ÷ 18 = 1780) → pair (18, 1780)
  13. 20 divides 32040 (32040 ÷ 20 = 1602) → pair (20, 1602)
  14. 24 divides 32040 (32040 ÷ 24 = 1335) → pair (24, 1335)
  15. 30 divides 32040 (32040 ÷ 30 = 1068) → pair (30, 1068)
  16. 36 divides 32040 (32040 ÷ 36 = 890) → pair (36, 890)
  17. 40 divides 32040 (32040 ÷ 40 = 801) → pair (40, 801)
  18. 45 divides 32040 (32040 ÷ 45 = 712) → pair (45, 712)
  19. 60 divides 32040 (32040 ÷ 60 = 534) → pair (60, 534)
  20. 72 divides 32040 (32040 ÷ 72 = 445) → pair (72, 445)
  21. 89 divides 32040 (32040 ÷ 89 = 360) → pair (89, 360)
  22. 90 divides 32040 (32040 ÷ 90 = 356) → pair (90, 356)
  23. 120 divides 32040 (32040 ÷ 120 = 267) → pair (120, 267)
  24. 178 divides 32040 (32040 ÷ 178 = 180) → pair (178, 180)
  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, 89, 90, 120, 178, 180, 267, 356, 360, 445, 534, 712, 801, 890, 1068, 1335, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 5340, 6408, 8010, 10680, 16020, 32040} — 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 + 89 + 90 + 120 + 178 + 180 + 267 + 356 + 360 + 445 + 534 + 712 + 801 + 890 + 1068 + 1335 + 1602 + 1780 + 2136 + 2670 + 3204 + 3560 + 4005 + 5340 + 6408 + 8010 + 10680 + 16020 + 32040 = 105300.

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Related Operations for 32040

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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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