Divisors of 3360: All 48 Factors

Quick Answer

3360 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360.

Sum: 12096.

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, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360

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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 3360

The number 3360 has 48 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  12,  14,  15,  16,  20,  21,  24,  28,  30,  32,  35,  40,  42,  48,  56,  60,  70,  80,  84,  96,  105,  112,  120,  140,  160,  168,  210,  224,  240,  280,  336,  420,  480,  560,  672,  840,  1120,  1680,  3360

Divisor Pairs of 3360

Each pair multiplies to 3360:

Factor 1×Factor 2=Product
1×3360=3360
2×1680=3360
3×1120=3360
4×840=3360
5×672=3360
6×560=3360
7×480=3360
8×420=3360
10×336=3360
12×280=3360
14×240=3360
15×224=3360
16×210=3360
20×168=3360
21×160=3360
24×140=3360
28×120=3360
30×112=3360
32×105=3360
35×96=3360
40×84=3360
42×80=3360
48×70=3360
56×60=3360

Number of Divisors

The number 3360 has 48 divisors, written as τ(3360) = 48 in number theory.

Sum of Divisors

σ(3360) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 32 + 35 + 40 + 42 + 48 + 56 + 60 + 70 + 80 + 84 + 96 + 105 + 112 + 120 + 140 + 160 + 168 + 210 + 224 + 240 + 280 + 336 + 420 + 480 + 560 + 672 + 840 + 1120 + 1680 + 3360 = 12096

Prime Factorization of 3360

See the full prime factorization calculator →

Properties of 3360

  • 3360 is composite.
  • 3360 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 12096.

Common Divisors with Another Number?

Looking for the divisors that 3360 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 3360

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √3360 ≈ 57.97. If i divides 3360, then both i and 3360/i are divisors.

  1. 1 divides 3360 (3360 ÷ 1 = 3360) → pair (1, 3360)
  2. 2 divides 3360 (3360 ÷ 2 = 1680) → pair (2, 1680)
  3. 3 divides 3360 (3360 ÷ 3 = 1120) → pair (3, 1120)
  4. 4 divides 3360 (3360 ÷ 4 = 840) → pair (4, 840)
  5. 5 divides 3360 (3360 ÷ 5 = 672) → pair (5, 672)
  6. 6 divides 3360 (3360 ÷ 6 = 560) → pair (6, 560)
  7. 7 divides 3360 (3360 ÷ 7 = 480) → pair (7, 480)
  8. 8 divides 3360 (3360 ÷ 8 = 420) → pair (8, 420)
  9. 10 divides 3360 (3360 ÷ 10 = 336) → pair (10, 336)
  10. 12 divides 3360 (3360 ÷ 12 = 280) → pair (12, 280)
  11. 14 divides 3360 (3360 ÷ 14 = 240) → pair (14, 240)
  12. 15 divides 3360 (3360 ÷ 15 = 224) → pair (15, 224)
  13. 16 divides 3360 (3360 ÷ 16 = 210) → pair (16, 210)
  14. 20 divides 3360 (3360 ÷ 20 = 168) → pair (20, 168)
  15. 21 divides 3360 (3360 ÷ 21 = 160) → pair (21, 160)
  16. 24 divides 3360 (3360 ÷ 24 = 140) → pair (24, 140)
  17. 28 divides 3360 (3360 ÷ 28 = 120) → pair (28, 120)
  18. 30 divides 3360 (3360 ÷ 30 = 112) → pair (30, 112)
  19. 32 divides 3360 (3360 ÷ 32 = 105) → pair (32, 105)
  20. 35 divides 3360 (3360 ÷ 35 = 96) → pair (35, 96)
  21. 40 divides 3360 (3360 ÷ 40 = 84) → pair (40, 84)
  22. 42 divides 3360 (3360 ÷ 42 = 80) → pair (42, 80)
  23. 48 divides 3360 (3360 ÷ 48 = 70) → pair (48, 70)
  24. 56 divides 3360 (3360 ÷ 56 = 60) → pair (56, 60)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 32 + 35 + 40 + 42 + 48 + 56 + 60 + 70 + 80 + 84 + 96 + 105 + 112 + 120 + 140 + 160 + 168 + 210 + 224 + 240 + 280 + 336 + 420 + 480 + 560 + 672 + 840 + 1120 + 1680 + 3360 = 12096.

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Related Operations for 3360

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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