Divisors of 42720: All 48 Factors

Quick Answer

42720 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 89, 96, 120, 160, 178, 240, 267, 356, 445, 480, 534, 712, 890, 1068, 1335, 1424, 1780, 2136, 2670, 2848, 3560, 4272, 5340, 7120, 8544, 10680, 14240, 21360, 42720.

Sum: 136080.

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, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 89, 96, 120, 160, 178, 240, 267, 356, 445, 480, 534, 712, 890, 1068, 1335, 1424, 1780, 2136, 2670, 2848, 3560, 4272, 5340, 7120, 8544, 10680, 14240, 21360, 42720

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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 42720

The number 42720 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  16,  20,  24,  30,  32,  40,  48,  60,  80,  89,  96,  120,  160,  178,  240,  267,  356,  445,  480,  534,  712,  890,  1068,  1335,  1424,  1780,  2136,  2670,  2848,  3560,  4272,  5340,  7120,  8544,  10680,  14240,  21360,  42720

Divisor Pairs of 42720

Each pair multiplies to 42720:

Factor 1×Factor 2=Product
1×42720=42720
2×21360=42720
3×14240=42720
4×10680=42720
5×8544=42720
6×7120=42720
8×5340=42720
10×4272=42720
12×3560=42720
15×2848=42720
16×2670=42720
20×2136=42720
24×1780=42720
30×1424=42720
32×1335=42720
40×1068=42720
48×890=42720
60×712=42720
80×534=42720
89×480=42720
96×445=42720
120×356=42720
160×267=42720
178×240=42720

Number of Divisors

The number 42720 has 48 divisors, written as τ(42720) = 48 in number theory.

Sum of Divisors

σ(42720) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 60 + 80 + 89 + 96 + 120 + 160 + 178 + 240 + 267 + 356 + 445 + 480 + 534 + 712 + 890 + 1068 + 1335 + 1424 + 1780 + 2136 + 2670 + 2848 + 3560 + 4272 + 5340 + 7120 + 8544 + 10680 + 14240 + 21360 + 42720 = 136080

Prime Factorization of 42720

See the full prime factorization calculator →

Properties of 42720

  • 42720 is composite.
  • 42720 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 136080.

Common Divisors with Another Number?

Looking for the divisors that 42720 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 42720

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √42720 ≈ 206.69. If i divides 42720, then both i and 42720/i are divisors.

  1. 1 divides 42720 (42720 ÷ 1 = 42720) → pair (1, 42720)
  2. 2 divides 42720 (42720 ÷ 2 = 21360) → pair (2, 21360)
  3. 3 divides 42720 (42720 ÷ 3 = 14240) → pair (3, 14240)
  4. 4 divides 42720 (42720 ÷ 4 = 10680) → pair (4, 10680)
  5. 5 divides 42720 (42720 ÷ 5 = 8544) → pair (5, 8544)
  6. 6 divides 42720 (42720 ÷ 6 = 7120) → pair (6, 7120)
  7. 8 divides 42720 (42720 ÷ 8 = 5340) → pair (8, 5340)
  8. 10 divides 42720 (42720 ÷ 10 = 4272) → pair (10, 4272)
  9. 12 divides 42720 (42720 ÷ 12 = 3560) → pair (12, 3560)
  10. 15 divides 42720 (42720 ÷ 15 = 2848) → pair (15, 2848)
  11. 16 divides 42720 (42720 ÷ 16 = 2670) → pair (16, 2670)
  12. 20 divides 42720 (42720 ÷ 20 = 2136) → pair (20, 2136)
  13. 24 divides 42720 (42720 ÷ 24 = 1780) → pair (24, 1780)
  14. 30 divides 42720 (42720 ÷ 30 = 1424) → pair (30, 1424)
  15. 32 divides 42720 (42720 ÷ 32 = 1335) → pair (32, 1335)
  16. 40 divides 42720 (42720 ÷ 40 = 1068) → pair (40, 1068)
  17. 48 divides 42720 (42720 ÷ 48 = 890) → pair (48, 890)
  18. 60 divides 42720 (42720 ÷ 60 = 712) → pair (60, 712)
  19. 80 divides 42720 (42720 ÷ 80 = 534) → pair (80, 534)
  20. 89 divides 42720 (42720 ÷ 89 = 480) → pair (89, 480)
  21. 96 divides 42720 (42720 ÷ 96 = 445) → pair (96, 445)
  22. 120 divides 42720 (42720 ÷ 120 = 356) → pair (120, 356)
  23. 160 divides 42720 (42720 ÷ 160 = 267) → pair (160, 267)
  24. 178 divides 42720 (42720 ÷ 178 = 240) → pair (178, 240)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 89, 96, 120, 160, 178, 240, 267, 356, 445, 480, 534, 712, 890, 1068, 1335, 1424, 1780, 2136, 2670, 2848, 3560, 4272, 5340, 7120, 8544, 10680, 14240, 21360, 42720} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 60 + 80 + 89 + 96 + 120 + 160 + 178 + 240 + 267 + 356 + 445 + 480 + 534 + 712 + 890 + 1068 + 1335 + 1424 + 1780 + 2136 + 2670 + 2848 + 3560 + 4272 + 5340 + 7120 + 8544 + 10680 + 14240 + 21360 + 42720 = 136080.

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Related Operations for 42720

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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