Divisors of 42120: All 80 Factors

Quick Answer

42120 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 52, 54, 60, 65, 72, 78, 81, 90, 104, 108, 117, 120, 130, 135, 156, 162, 180, 195, 216, 234, 260, 270, 312, 324, 351, 360, 390, 405, 468, 520, 540, 585, 648, 702, 780, 810, 936, 1053, 1080, 1170, 1404, 1560, 1620, 1755, 2106, 2340, 2808, 3240, 3510, 4212, 4680, 5265, 7020, 8424, 10530, 14040, 21060, 42120.

Sum: 152460.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
80 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 52, 54, 60, 65, 72, 78, 81, 90, 104, 108, 117, 120, 130, 135, 156, 162, 180, 195, 216, 234, 260, 270, 312, 324, 351, 360, 390, 405, 468, 520, 540, 585, 648, 702, 780, 810, 936, 1053, 1080, 1170, 1404, 1560, 1620, 1755, 2106, 2340, 2808, 3240, 3510, 4212, 4680, 5265, 7020, 8424, 10530, 14040, 21060, 42120

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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 42120

The number 42120 has 80 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  13,  15,  18,  20,  24,  26,  27,  30,  36,  39,  40,  45,  52,  54,  60,  65,  72,  78,  81,  90,  104,  108,  117,  120,  130,  135,  156,  162,  180,  195,  216,  234,  260,  270,  312,  324,  351,  360,  390,  405,  468,  520,  540,  585,  648,  702,  780,  810,  936,  1053,  1080,  1170,  1404,  1560,  1620,  1755,  2106,  2340,  2808,  3240,  3510,  4212,  4680,  5265,  7020,  8424,  10530,  14040,  21060,  42120

Divisor Pairs of 42120

Each pair multiplies to 42120:

Factor 1×Factor 2=Product
1×42120=42120
2×21060=42120
3×14040=42120
4×10530=42120
5×8424=42120
6×7020=42120
8×5265=42120
9×4680=42120
10×4212=42120
12×3510=42120
13×3240=42120
15×2808=42120
18×2340=42120
20×2106=42120
24×1755=42120
26×1620=42120
27×1560=42120
30×1404=42120
36×1170=42120
39×1080=42120
40×1053=42120
45×936=42120
52×810=42120
54×780=42120
60×702=42120
65×648=42120
72×585=42120
78×540=42120
81×520=42120
90×468=42120
104×405=42120
108×390=42120
117×360=42120
120×351=42120
130×324=42120
135×312=42120
156×270=42120
162×260=42120
180×234=42120
195×216=42120

Number of Divisors

The number 42120 has 80 divisors, written as τ(42120) = 80 in number theory.

Sum of Divisors

σ(42120) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 13 + 15 + 18 + 20 + 24 + 26 + 27 + 30 + 36 + 39 + 40 + 45 + 52 + 54 + 60 + 65 + 72 + 78 + 81 + 90 + 104 + 108 + 117 + 120 + 130 + 135 + 156 + 162 + 180 + 195 + 216 + 234 + 260 + 270 + 312 + 324 + 351 + 360 + 390 + 405 + 468 + 520 + 540 + 585 + 648 + 702 + 780 + 810 + 936 + 1053 + 1080 + 1170 + 1404 + 1560 + 1620 + 1755 + 2106 + 2340 + 2808 + 3240 + 3510 + 4212 + 4680 + 5265 + 7020 + 8424 + 10530 + 14040 + 21060 + 42120 = 152460

Prime Factorization of 42120

See the full prime factorization calculator →

Properties of 42120

  • 42120 is composite.
  • 42120 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 152460.

Common Divisors with Another Number?

Looking for the divisors that 42120 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 42120

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √42120 ≈ 205.23. If i divides 42120, then both i and 42120/i are divisors.

  1. 1 divides 42120 (42120 ÷ 1 = 42120) → pair (1, 42120)
  2. 2 divides 42120 (42120 ÷ 2 = 21060) → pair (2, 21060)
  3. 3 divides 42120 (42120 ÷ 3 = 14040) → pair (3, 14040)
  4. 4 divides 42120 (42120 ÷ 4 = 10530) → pair (4, 10530)
  5. 5 divides 42120 (42120 ÷ 5 = 8424) → pair (5, 8424)
  6. 6 divides 42120 (42120 ÷ 6 = 7020) → pair (6, 7020)
  7. 8 divides 42120 (42120 ÷ 8 = 5265) → pair (8, 5265)
  8. 9 divides 42120 (42120 ÷ 9 = 4680) → pair (9, 4680)
  9. 10 divides 42120 (42120 ÷ 10 = 4212) → pair (10, 4212)
  10. 12 divides 42120 (42120 ÷ 12 = 3510) → pair (12, 3510)
  11. 13 divides 42120 (42120 ÷ 13 = 3240) → pair (13, 3240)
  12. 15 divides 42120 (42120 ÷ 15 = 2808) → pair (15, 2808)
  13. 18 divides 42120 (42120 ÷ 18 = 2340) → pair (18, 2340)
  14. 20 divides 42120 (42120 ÷ 20 = 2106) → pair (20, 2106)
  15. 24 divides 42120 (42120 ÷ 24 = 1755) → pair (24, 1755)
  16. 26 divides 42120 (42120 ÷ 26 = 1620) → pair (26, 1620)
  17. 27 divides 42120 (42120 ÷ 27 = 1560) → pair (27, 1560)
  18. 30 divides 42120 (42120 ÷ 30 = 1404) → pair (30, 1404)
  19. 36 divides 42120 (42120 ÷ 36 = 1170) → pair (36, 1170)
  20. 39 divides 42120 (42120 ÷ 39 = 1080) → pair (39, 1080)
  21. 40 divides 42120 (42120 ÷ 40 = 1053) → pair (40, 1053)
  22. 45 divides 42120 (42120 ÷ 45 = 936) → pair (45, 936)
  23. 52 divides 42120 (42120 ÷ 52 = 810) → pair (52, 810)
  24. 54 divides 42120 (42120 ÷ 54 = 780) → pair (54, 780)
  25. 60 divides 42120 (42120 ÷ 60 = 702) → pair (60, 702)
  26. 65 divides 42120 (42120 ÷ 65 = 648) → pair (65, 648)
  27. 72 divides 42120 (42120 ÷ 72 = 585) → pair (72, 585)
  28. 78 divides 42120 (42120 ÷ 78 = 540) → pair (78, 540)
  29. 81 divides 42120 (42120 ÷ 81 = 520) → pair (81, 520)
  30. 90 divides 42120 (42120 ÷ 90 = 468) → pair (90, 468)
  31. 104 divides 42120 (42120 ÷ 104 = 405) → pair (104, 405)
  32. 108 divides 42120 (42120 ÷ 108 = 390) → pair (108, 390)
  33. 117 divides 42120 (42120 ÷ 117 = 360) → pair (117, 360)
  34. 120 divides 42120 (42120 ÷ 120 = 351) → pair (120, 351)
  35. 130 divides 42120 (42120 ÷ 130 = 324) → pair (130, 324)
  36. 135 divides 42120 (42120 ÷ 135 = 312) → pair (135, 312)
  37. 156 divides 42120 (42120 ÷ 156 = 270) → pair (156, 270)
  38. 162 divides 42120 (42120 ÷ 162 = 260) → pair (162, 260)
  39. 180 divides 42120 (42120 ÷ 180 = 234) → pair (180, 234)
  40. 195 divides 42120 (42120 ÷ 195 = 216) → pair (195, 216)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 52, 54, 60, 65, 72, 78, 81, 90, 104, 108, 117, 120, 130, 135, 156, 162, 180, 195, 216, 234, 260, 270, 312, 324, 351, 360, 390, 405, 468, 520, 540, 585, 648, 702, 780, 810, 936, 1053, 1080, 1170, 1404, 1560, 1620, 1755, 2106, 2340, 2808, 3240, 3510, 4212, 4680, 5265, 7020, 8424, 10530, 14040, 21060, 42120} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 13 + 15 + 18 + 20 + 24 + 26 + 27 + 30 + 36 + 39 + 40 + 45 + 52 + 54 + 60 + 65 + 72 + 78 + 81 + 90 + 104 + 108 + 117 + 120 + 130 + 135 + 156 + 162 + 180 + 195 + 216 + 234 + 260 + 270 + 312 + 324 + 351 + 360 + 390 + 405 + 468 + 520 + 540 + 585 + 648 + 702 + 780 + 810 + 936 + 1053 + 1080 + 1170 + 1404 + 1560 + 1620 + 1755 + 2106 + 2340 + 2808 + 3240 + 3510 + 4212 + 4680 + 5265 + 7020 + 8424 + 10530 + 14040 + 21060 + 42120 = 152460.

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Related Operations for 42120

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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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