Divisors of 32940: All 48 Factors

Quick Answer

32940 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 61, 90, 108, 122, 135, 180, 183, 244, 270, 305, 366, 540, 549, 610, 732, 915, 1098, 1220, 1647, 1830, 2196, 2745, 3294, 3660, 5490, 6588, 8235, 10980, 16470, 32940.

Sum: 104160.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 61, 90, 108, 122, 135, 180, 183, 244, 270, 305, 366, 540, 549, 610, 732, 915, 1098, 1220, 1647, 1830, 2196, 2745, 3294, 3660, 5490, 6588, 8235, 10980, 16470, 32940

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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 32940

The number 32940 has 48 divisors:

1,  2,  3,  4,  5,  6,  9,  10,  12,  15,  18,  20,  27,  30,  36,  45,  54,  60,  61,  90,  108,  122,  135,  180,  183,  244,  270,  305,  366,  540,  549,  610,  732,  915,  1098,  1220,  1647,  1830,  2196,  2745,  3294,  3660,  5490,  6588,  8235,  10980,  16470,  32940

Divisor Pairs of 32940

Each pair multiplies to 32940:

Factor 1×Factor 2=Product
1×32940=32940
2×16470=32940
3×10980=32940
4×8235=32940
5×6588=32940
6×5490=32940
9×3660=32940
10×3294=32940
12×2745=32940
15×2196=32940
18×1830=32940
20×1647=32940
27×1220=32940
30×1098=32940
36×915=32940
45×732=32940
54×610=32940
60×549=32940
61×540=32940
90×366=32940
108×305=32940
122×270=32940
135×244=32940
180×183=32940

Number of Divisors

The number 32940 has 48 divisors, written as τ(32940) = 48 in number theory.

Sum of Divisors

σ(32940) = 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 27 + 30 + 36 + 45 + 54 + 60 + 61 + 90 + 108 + 122 + 135 + 180 + 183 + 244 + 270 + 305 + 366 + 540 + 549 + 610 + 732 + 915 + 1098 + 1220 + 1647 + 1830 + 2196 + 2745 + 3294 + 3660 + 5490 + 6588 + 8235 + 10980 + 16470 + 32940 = 104160

Prime Factorization of 32940

See the full prime factorization calculator →

Properties of 32940

  • 32940 is composite.
  • 32940 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 104160.

Common Divisors with Another Number?

Looking for the divisors that 32940 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 32940

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √32940 ≈ 181.49. If i divides 32940, then both i and 32940/i are divisors.

  1. 1 divides 32940 (32940 ÷ 1 = 32940) → pair (1, 32940)
  2. 2 divides 32940 (32940 ÷ 2 = 16470) → pair (2, 16470)
  3. 3 divides 32940 (32940 ÷ 3 = 10980) → pair (3, 10980)
  4. 4 divides 32940 (32940 ÷ 4 = 8235) → pair (4, 8235)
  5. 5 divides 32940 (32940 ÷ 5 = 6588) → pair (5, 6588)
  6. 6 divides 32940 (32940 ÷ 6 = 5490) → pair (6, 5490)
  7. 9 divides 32940 (32940 ÷ 9 = 3660) → pair (9, 3660)
  8. 10 divides 32940 (32940 ÷ 10 = 3294) → pair (10, 3294)
  9. 12 divides 32940 (32940 ÷ 12 = 2745) → pair (12, 2745)
  10. 15 divides 32940 (32940 ÷ 15 = 2196) → pair (15, 2196)
  11. 18 divides 32940 (32940 ÷ 18 = 1830) → pair (18, 1830)
  12. 20 divides 32940 (32940 ÷ 20 = 1647) → pair (20, 1647)
  13. 27 divides 32940 (32940 ÷ 27 = 1220) → pair (27, 1220)
  14. 30 divides 32940 (32940 ÷ 30 = 1098) → pair (30, 1098)
  15. 36 divides 32940 (32940 ÷ 36 = 915) → pair (36, 915)
  16. 45 divides 32940 (32940 ÷ 45 = 732) → pair (45, 732)
  17. 54 divides 32940 (32940 ÷ 54 = 610) → pair (54, 610)
  18. 60 divides 32940 (32940 ÷ 60 = 549) → pair (60, 549)
  19. 61 divides 32940 (32940 ÷ 61 = 540) → pair (61, 540)
  20. 90 divides 32940 (32940 ÷ 90 = 366) → pair (90, 366)
  21. 108 divides 32940 (32940 ÷ 108 = 305) → pair (108, 305)
  22. 122 divides 32940 (32940 ÷ 122 = 270) → pair (122, 270)
  23. 135 divides 32940 (32940 ÷ 135 = 244) → pair (135, 244)
  24. 180 divides 32940 (32940 ÷ 180 = 183) → pair (180, 183)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 61, 90, 108, 122, 135, 180, 183, 244, 270, 305, 366, 540, 549, 610, 732, 915, 1098, 1220, 1647, 1830, 2196, 2745, 3294, 3660, 5490, 6588, 8235, 10980, 16470, 32940} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 27 + 30 + 36 + 45 + 54 + 60 + 61 + 90 + 108 + 122 + 135 + 180 + 183 + 244 + 270 + 305 + 366 + 540 + 549 + 610 + 732 + 915 + 1098 + 1220 + 1647 + 1830 + 2196 + 2745 + 3294 + 3660 + 5490 + 6588 + 8235 + 10980 + 16470 + 32940 = 104160.

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Related Operations for 32940

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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