Divisors of 42840: All 96 Factors

Quick Answer

42840 has 96 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 17, 18, 20, 21, 24, 28, 30, 34, 35, 36, 40, 42, 45, 51, 56, 60, 63, 68, 70, 72, 84, 85, 90, 102, 105, 119, 120, 126, 136, 140, 153, 168, 170, 180, 204, 210, 238, 252, 255, 280, 306, 315, 340, 357, 360, 408, 420, 476, 504, 510, 595, 612, 630, 680, 714, 765, 840, 952, 1020, 1071, 1190, 1224, 1260, 1428, 1530, 1785, 2040, 2142, 2380, 2520, 2856, 3060, 3570, 4284, 4760, 5355, 6120, 7140, 8568, 10710, 14280, 21420, 42840.

Sum: 168480.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

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96 divisors
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 17, 18, 20, 21, 24, 28, 30, 34, 35, 36, 40, 42, 45, 51, 56, 60, 63, 68, 70, 72, 84, 85, 90, 102, 105, 119, 120, 126, 136, 140, 153, 168, 170, 180, 204, 210, 238, 252, 255, 280, 306, 315, 340, 357, 360, 408, 420, 476, 504, 510, 595, 612, 630, 680, 714, 765, 840, 952, 1020, 1071, 1190, 1224, 1260, 1428, 1530, 1785, 2040, 2142, 2380, 2520, 2856, 3060, 3570, 4284, 4760, 5355, 6120, 7140, 8568, 10710, 14280, 21420, 42840

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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 42840

The number 42840 has 96 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  9,  10,  12,  14,  15,  17,  18,  20,  21,  24,  28,  30,  34,  35,  36,  40,  42,  45,  51,  56,  60,  63,  68,  70,  72,  84,  85,  90,  102,  105,  119,  120,  126,  136,  140,  153,  168,  170,  180,  204,  210,  238,  252,  255,  280,  306,  315,  340,  357,  360,  408,  420,  476,  504,  510,  595,  612,  630,  680,  714,  765,  840,  952,  1020,  1071,  1190,  1224,  1260,  1428,  1530,  1785,  2040,  2142,  2380,  2520,  2856,  3060,  3570,  4284,  4760,  5355,  6120,  7140,  8568,  10710,  14280,  21420,  42840

Divisor Pairs of 42840

Each pair multiplies to 42840:

Factor 1×Factor 2=Product
1×42840=42840
2×21420=42840
3×14280=42840
4×10710=42840
5×8568=42840
6×7140=42840
7×6120=42840
8×5355=42840
9×4760=42840
10×4284=42840
12×3570=42840
14×3060=42840
15×2856=42840
17×2520=42840
18×2380=42840
20×2142=42840
21×2040=42840
24×1785=42840
28×1530=42840
30×1428=42840
34×1260=42840
35×1224=42840
36×1190=42840
40×1071=42840
42×1020=42840
45×952=42840
51×840=42840
56×765=42840
60×714=42840
63×680=42840
68×630=42840
70×612=42840
72×595=42840
84×510=42840
85×504=42840
90×476=42840
102×420=42840
105×408=42840
119×360=42840
120×357=42840
126×340=42840
136×315=42840
140×306=42840
153×280=42840
168×255=42840
170×252=42840
180×238=42840
204×210=42840

Number of Divisors

The number 42840 has 96 divisors, written as τ(42840) = 96 in number theory.

Sum of Divisors

σ(42840) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 17 + 18 + 20 + 21 + 24 + 28 + 30 + 34 + 35 + 36 + 40 + 42 + 45 + 51 + 56 + 60 + 63 + 68 + 70 + 72 + 84 + 85 + 90 + 102 + 105 + 119 + 120 + 126 + 136 + 140 + 153 + 168 + 170 + 180 + 204 + 210 + 238 + 252 + 255 + 280 + 306 + 315 + 340 + 357 + 360 + 408 + 420 + 476 + 504 + 510 + 595 + 612 + 630 + 680 + 714 + 765 + 840 + 952 + 1020 + 1071 + 1190 + 1224 + 1260 + 1428 + 1530 + 1785 + 2040 + 2142 + 2380 + 2520 + 2856 + 3060 + 3570 + 4284 + 4760 + 5355 + 6120 + 7140 + 8568 + 10710 + 14280 + 21420 + 42840 = 168480

Prime Factorization of 42840

See the full prime factorization calculator →

Properties of 42840

  • 42840 is composite.
  • 42840 is not a perfect square.
  • Number of divisors: 96.
  • Sum of divisors: 168480.

Common Divisors with Another Number?

Looking for the divisors that 42840 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 42840

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √42840 ≈ 206.98. If i divides 42840, then both i and 42840/i are divisors.

  1. 1 divides 42840 (42840 ÷ 1 = 42840) → pair (1, 42840)
  2. 2 divides 42840 (42840 ÷ 2 = 21420) → pair (2, 21420)
  3. 3 divides 42840 (42840 ÷ 3 = 14280) → pair (3, 14280)
  4. 4 divides 42840 (42840 ÷ 4 = 10710) → pair (4, 10710)
  5. 5 divides 42840 (42840 ÷ 5 = 8568) → pair (5, 8568)
  6. 6 divides 42840 (42840 ÷ 6 = 7140) → pair (6, 7140)
  7. 7 divides 42840 (42840 ÷ 7 = 6120) → pair (7, 6120)
  8. 8 divides 42840 (42840 ÷ 8 = 5355) → pair (8, 5355)
  9. 9 divides 42840 (42840 ÷ 9 = 4760) → pair (9, 4760)
  10. 10 divides 42840 (42840 ÷ 10 = 4284) → pair (10, 4284)
  11. 12 divides 42840 (42840 ÷ 12 = 3570) → pair (12, 3570)
  12. 14 divides 42840 (42840 ÷ 14 = 3060) → pair (14, 3060)
  13. 15 divides 42840 (42840 ÷ 15 = 2856) → pair (15, 2856)
  14. 17 divides 42840 (42840 ÷ 17 = 2520) → pair (17, 2520)
  15. 18 divides 42840 (42840 ÷ 18 = 2380) → pair (18, 2380)
  16. 20 divides 42840 (42840 ÷ 20 = 2142) → pair (20, 2142)
  17. 21 divides 42840 (42840 ÷ 21 = 2040) → pair (21, 2040)
  18. 24 divides 42840 (42840 ÷ 24 = 1785) → pair (24, 1785)
  19. 28 divides 42840 (42840 ÷ 28 = 1530) → pair (28, 1530)
  20. 30 divides 42840 (42840 ÷ 30 = 1428) → pair (30, 1428)
  21. 34 divides 42840 (42840 ÷ 34 = 1260) → pair (34, 1260)
  22. 35 divides 42840 (42840 ÷ 35 = 1224) → pair (35, 1224)
  23. 36 divides 42840 (42840 ÷ 36 = 1190) → pair (36, 1190)
  24. 40 divides 42840 (42840 ÷ 40 = 1071) → pair (40, 1071)
  25. 42 divides 42840 (42840 ÷ 42 = 1020) → pair (42, 1020)
  26. 45 divides 42840 (42840 ÷ 45 = 952) → pair (45, 952)
  27. 51 divides 42840 (42840 ÷ 51 = 840) → pair (51, 840)
  28. 56 divides 42840 (42840 ÷ 56 = 765) → pair (56, 765)
  29. 60 divides 42840 (42840 ÷ 60 = 714) → pair (60, 714)
  30. 63 divides 42840 (42840 ÷ 63 = 680) → pair (63, 680)
  31. 68 divides 42840 (42840 ÷ 68 = 630) → pair (68, 630)
  32. 70 divides 42840 (42840 ÷ 70 = 612) → pair (70, 612)
  33. 72 divides 42840 (42840 ÷ 72 = 595) → pair (72, 595)
  34. 84 divides 42840 (42840 ÷ 84 = 510) → pair (84, 510)
  35. 85 divides 42840 (42840 ÷ 85 = 504) → pair (85, 504)
  36. 90 divides 42840 (42840 ÷ 90 = 476) → pair (90, 476)
  37. 102 divides 42840 (42840 ÷ 102 = 420) → pair (102, 420)
  38. 105 divides 42840 (42840 ÷ 105 = 408) → pair (105, 408)
  39. 119 divides 42840 (42840 ÷ 119 = 360) → pair (119, 360)
  40. 120 divides 42840 (42840 ÷ 120 = 357) → pair (120, 357)
  41. 126 divides 42840 (42840 ÷ 126 = 340) → pair (126, 340)
  42. 136 divides 42840 (42840 ÷ 136 = 315) → pair (136, 315)
  43. 140 divides 42840 (42840 ÷ 140 = 306) → pair (140, 306)
  44. 153 divides 42840 (42840 ÷ 153 = 280) → pair (153, 280)
  45. 168 divides 42840 (42840 ÷ 168 = 255) → pair (168, 255)
  46. 170 divides 42840 (42840 ÷ 170 = 252) → pair (170, 252)
  47. 180 divides 42840 (42840 ÷ 180 = 238) → pair (180, 238)
  48. 204 divides 42840 (42840 ÷ 204 = 210) → pair (204, 210)
  49. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 17, 18, 20, 21, 24, 28, 30, 34, 35, 36, 40, 42, 45, 51, 56, 60, 63, 68, 70, 72, 84, 85, 90, 102, 105, 119, 120, 126, 136, 140, 153, 168, 170, 180, 204, 210, 238, 252, 255, 280, 306, 315, 340, 357, 360, 408, 420, 476, 504, 510, 595, 612, 630, 680, 714, 765, 840, 952, 1020, 1071, 1190, 1224, 1260, 1428, 1530, 1785, 2040, 2142, 2380, 2520, 2856, 3060, 3570, 4284, 4760, 5355, 6120, 7140, 8568, 10710, 14280, 21420, 42840} — total 96 divisors.
  50. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 17 + 18 + 20 + 21 + 24 + 28 + 30 + 34 + 35 + 36 + 40 + 42 + 45 + 51 + 56 + 60 + 63 + 68 + 70 + 72 + 84 + 85 + 90 + 102 + 105 + 119 + 120 + 126 + 136 + 140 + 153 + 168 + 170 + 180 + 204 + 210 + 238 + 252 + 255 + 280 + 306 + 315 + 340 + 357 + 360 + 408 + 420 + 476 + 504 + 510 + 595 + 612 + 630 + 680 + 714 + 765 + 840 + 952 + 1020 + 1071 + 1190 + 1224 + 1260 + 1428 + 1530 + 1785 + 2040 + 2142 + 2380 + 2520 + 2856 + 3060 + 3570 + 4284 + 4760 + 5355 + 6120 + 7140 + 8568 + 10710 + 14280 + 21420 + 42840 = 168480.

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Related Operations for 42840

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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