Divisors of 6240: All 48 Factors

Quick Answer

6240 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240.

Sum: 21168.

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, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240

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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 6240

The number 6240 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  13,  15,  16,  20,  24,  26,  30,  32,  39,  40,  48,  52,  60,  65,  78,  80,  96,  104,  120,  130,  156,  160,  195,  208,  240,  260,  312,  390,  416,  480,  520,  624,  780,  1040,  1248,  1560,  2080,  3120,  6240

Divisor Pairs of 6240

Each pair multiplies to 6240:

Factor 1×Factor 2=Product
1×6240=6240
2×3120=6240
3×2080=6240
4×1560=6240
5×1248=6240
6×1040=6240
8×780=6240
10×624=6240
12×520=6240
13×480=6240
15×416=6240
16×390=6240
20×312=6240
24×260=6240
26×240=6240
30×208=6240
32×195=6240
39×160=6240
40×156=6240
48×130=6240
52×120=6240
60×104=6240
65×96=6240
78×80=6240

Number of Divisors

The number 6240 has 48 divisors, written as τ(6240) = 48 in number theory.

Sum of Divisors

σ(6240) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 13 + 15 + 16 + 20 + 24 + 26 + 30 + 32 + 39 + 40 + 48 + 52 + 60 + 65 + 78 + 80 + 96 + 104 + 120 + 130 + 156 + 160 + 195 + 208 + 240 + 260 + 312 + 390 + 416 + 480 + 520 + 624 + 780 + 1040 + 1248 + 1560 + 2080 + 3120 + 6240 = 21168

Prime Factorization of 6240

See the full prime factorization calculator →

Properties of 6240

  • 6240 is composite.
  • 6240 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 21168.

Common Divisors with Another Number?

Looking for the divisors that 6240 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 6240

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √6240 ≈ 78.99. If i divides 6240, then both i and 6240/i are divisors.

  1. 1 divides 6240 (6240 ÷ 1 = 6240) → pair (1, 6240)
  2. 2 divides 6240 (6240 ÷ 2 = 3120) → pair (2, 3120)
  3. 3 divides 6240 (6240 ÷ 3 = 2080) → pair (3, 2080)
  4. 4 divides 6240 (6240 ÷ 4 = 1560) → pair (4, 1560)
  5. 5 divides 6240 (6240 ÷ 5 = 1248) → pair (5, 1248)
  6. 6 divides 6240 (6240 ÷ 6 = 1040) → pair (6, 1040)
  7. 8 divides 6240 (6240 ÷ 8 = 780) → pair (8, 780)
  8. 10 divides 6240 (6240 ÷ 10 = 624) → pair (10, 624)
  9. 12 divides 6240 (6240 ÷ 12 = 520) → pair (12, 520)
  10. 13 divides 6240 (6240 ÷ 13 = 480) → pair (13, 480)
  11. 15 divides 6240 (6240 ÷ 15 = 416) → pair (15, 416)
  12. 16 divides 6240 (6240 ÷ 16 = 390) → pair (16, 390)
  13. 20 divides 6240 (6240 ÷ 20 = 312) → pair (20, 312)
  14. 24 divides 6240 (6240 ÷ 24 = 260) → pair (24, 260)
  15. 26 divides 6240 (6240 ÷ 26 = 240) → pair (26, 240)
  16. 30 divides 6240 (6240 ÷ 30 = 208) → pair (30, 208)
  17. 32 divides 6240 (6240 ÷ 32 = 195) → pair (32, 195)
  18. 39 divides 6240 (6240 ÷ 39 = 160) → pair (39, 160)
  19. 40 divides 6240 (6240 ÷ 40 = 156) → pair (40, 156)
  20. 48 divides 6240 (6240 ÷ 48 = 130) → pair (48, 130)
  21. 52 divides 6240 (6240 ÷ 52 = 120) → pair (52, 120)
  22. 60 divides 6240 (6240 ÷ 60 = 104) → pair (60, 104)
  23. 65 divides 6240 (6240 ÷ 65 = 96) → pair (65, 96)
  24. 78 divides 6240 (6240 ÷ 78 = 80) → pair (78, 80)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 13 + 15 + 16 + 20 + 24 + 26 + 30 + 32 + 39 + 40 + 48 + 52 + 60 + 65 + 78 + 80 + 96 + 104 + 120 + 130 + 156 + 160 + 195 + 208 + 240 + 260 + 312 + 390 + 416 + 480 + 520 + 624 + 780 + 1040 + 1248 + 1560 + 2080 + 3120 + 6240 = 21168.

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Related Operations for 6240

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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