Divisors of 6720: All 56 Factors

Quick Answer

6720 has 56 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, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720.

Sum: 24384.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

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56 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, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720

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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 6720

The number 6720 has 56 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,  64,  70,  80,  84,  96,  105,  112,  120,  140,  160,  168,  192,  210,  224,  240,  280,  320,  336,  420,  448,  480,  560,  672,  840,  960,  1120,  1344,  1680,  2240,  3360,  6720

Divisor Pairs of 6720

Each pair multiplies to 6720:

Factor 1×Factor 2=Product
1×6720=6720
2×3360=6720
3×2240=6720
4×1680=6720
5×1344=6720
6×1120=6720
7×960=6720
8×840=6720
10×672=6720
12×560=6720
14×480=6720
15×448=6720
16×420=6720
20×336=6720
21×320=6720
24×280=6720
28×240=6720
30×224=6720
32×210=6720
35×192=6720
40×168=6720
42×160=6720
48×140=6720
56×120=6720
60×112=6720
64×105=6720
70×96=6720
80×84=6720

Number of Divisors

The number 6720 has 56 divisors, written as τ(6720) = 56 in number theory.

Sum of Divisors

σ(6720) = 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 + 64 + 70 + 80 + 84 + 96 + 105 + 112 + 120 + 140 + 160 + 168 + 192 + 210 + 224 + 240 + 280 + 320 + 336 + 420 + 448 + 480 + 560 + 672 + 840 + 960 + 1120 + 1344 + 1680 + 2240 + 3360 + 6720 = 24384

Prime Factorization of 6720

See the full prime factorization calculator →

Properties of 6720

  • 6720 is composite.
  • 6720 is not a perfect square.
  • Number of divisors: 56.
  • Sum of divisors: 24384.

Common Divisors with Another Number?

Looking for the divisors that 6720 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 6720

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √6720 ≈ 81.98. If i divides 6720, then both i and 6720/i are divisors.

  1. 1 divides 6720 (6720 ÷ 1 = 6720) → pair (1, 6720)
  2. 2 divides 6720 (6720 ÷ 2 = 3360) → pair (2, 3360)
  3. 3 divides 6720 (6720 ÷ 3 = 2240) → pair (3, 2240)
  4. 4 divides 6720 (6720 ÷ 4 = 1680) → pair (4, 1680)
  5. 5 divides 6720 (6720 ÷ 5 = 1344) → pair (5, 1344)
  6. 6 divides 6720 (6720 ÷ 6 = 1120) → pair (6, 1120)
  7. 7 divides 6720 (6720 ÷ 7 = 960) → pair (7, 960)
  8. 8 divides 6720 (6720 ÷ 8 = 840) → pair (8, 840)
  9. 10 divides 6720 (6720 ÷ 10 = 672) → pair (10, 672)
  10. 12 divides 6720 (6720 ÷ 12 = 560) → pair (12, 560)
  11. 14 divides 6720 (6720 ÷ 14 = 480) → pair (14, 480)
  12. 15 divides 6720 (6720 ÷ 15 = 448) → pair (15, 448)
  13. 16 divides 6720 (6720 ÷ 16 = 420) → pair (16, 420)
  14. 20 divides 6720 (6720 ÷ 20 = 336) → pair (20, 336)
  15. 21 divides 6720 (6720 ÷ 21 = 320) → pair (21, 320)
  16. 24 divides 6720 (6720 ÷ 24 = 280) → pair (24, 280)
  17. 28 divides 6720 (6720 ÷ 28 = 240) → pair (28, 240)
  18. 30 divides 6720 (6720 ÷ 30 = 224) → pair (30, 224)
  19. 32 divides 6720 (6720 ÷ 32 = 210) → pair (32, 210)
  20. 35 divides 6720 (6720 ÷ 35 = 192) → pair (35, 192)
  21. 40 divides 6720 (6720 ÷ 40 = 168) → pair (40, 168)
  22. 42 divides 6720 (6720 ÷ 42 = 160) → pair (42, 160)
  23. 48 divides 6720 (6720 ÷ 48 = 140) → pair (48, 140)
  24. 56 divides 6720 (6720 ÷ 56 = 120) → pair (56, 120)
  25. 60 divides 6720 (6720 ÷ 60 = 112) → pair (60, 112)
  26. 64 divides 6720 (6720 ÷ 64 = 105) → pair (64, 105)
  27. 70 divides 6720 (6720 ÷ 70 = 96) → pair (70, 96)
  28. 80 divides 6720 (6720 ÷ 80 = 84) → pair (80, 84)
  29. 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, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720} — total 56 divisors.
  30. 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 + 64 + 70 + 80 + 84 + 96 + 105 + 112 + 120 + 140 + 160 + 168 + 192 + 210 + 224 + 240 + 280 + 320 + 336 + 420 + 448 + 480 + 560 + 672 + 840 + 960 + 1120 + 1344 + 1680 + 2240 + 3360 + 6720 = 24384.

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Related Operations for 6720

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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