Divisors of 38640: All 80 Factors

Quick Answer

38640 has 80 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 23, 24, 28, 30, 35, 40, 42, 46, 48, 56, 60, 69, 70, 80, 84, 92, 105, 112, 115, 120, 138, 140, 161, 168, 184, 210, 230, 240, 276, 280, 322, 336, 345, 368, 420, 460, 483, 552, 560, 644, 690, 805, 840, 920, 966, 1104, 1288, 1380, 1610, 1680, 1840, 1932, 2415, 2576, 2760, 3220, 3864, 4830, 5520, 6440, 7728, 9660, 12880, 19320, 38640.

Sum: 142848.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
80 divisors
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 23, 24, 28, 30, 35, 40, 42, 46, 48, 56, 60, 69, 70, 80, 84, 92, 105, 112, 115, 120, 138, 140, 161, 168, 184, 210, 230, 240, 276, 280, 322, 336, 345, 368, 420, 460, 483, 552, 560, 644, 690, 805, 840, 920, 966, 1104, 1288, 1380, 1610, 1680, 1840, 1932, 2415, 2576, 2760, 3220, 3864, 4830, 5520, 6440, 7728, 9660, 12880, 19320, 38640

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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 38640

The number 38640 has 80 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  12,  14,  15,  16,  20,  21,  23,  24,  28,  30,  35,  40,  42,  46,  48,  56,  60,  69,  70,  80,  84,  92,  105,  112,  115,  120,  138,  140,  161,  168,  184,  210,  230,  240,  276,  280,  322,  336,  345,  368,  420,  460,  483,  552,  560,  644,  690,  805,  840,  920,  966,  1104,  1288,  1380,  1610,  1680,  1840,  1932,  2415,  2576,  2760,  3220,  3864,  4830,  5520,  6440,  7728,  9660,  12880,  19320,  38640

Divisor Pairs of 38640

Each pair multiplies to 38640:

Factor 1×Factor 2=Product
1×38640=38640
2×19320=38640
3×12880=38640
4×9660=38640
5×7728=38640
6×6440=38640
7×5520=38640
8×4830=38640
10×3864=38640
12×3220=38640
14×2760=38640
15×2576=38640
16×2415=38640
20×1932=38640
21×1840=38640
23×1680=38640
24×1610=38640
28×1380=38640
30×1288=38640
35×1104=38640
40×966=38640
42×920=38640
46×840=38640
48×805=38640
56×690=38640
60×644=38640
69×560=38640
70×552=38640
80×483=38640
84×460=38640
92×420=38640
105×368=38640
112×345=38640
115×336=38640
120×322=38640
138×280=38640
140×276=38640
161×240=38640
168×230=38640
184×210=38640

Number of Divisors

The number 38640 has 80 divisors, written as τ(38640) = 80 in number theory.

Sum of Divisors

σ(38640) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 23 + 24 + 28 + 30 + 35 + 40 + 42 + 46 + 48 + 56 + 60 + 69 + 70 + 80 + 84 + 92 + 105 + 112 + 115 + 120 + 138 + 140 + 161 + 168 + 184 + 210 + 230 + 240 + 276 + 280 + 322 + 336 + 345 + 368 + 420 + 460 + 483 + 552 + 560 + 644 + 690 + 805 + 840 + 920 + 966 + 1104 + 1288 + 1380 + 1610 + 1680 + 1840 + 1932 + 2415 + 2576 + 2760 + 3220 + 3864 + 4830 + 5520 + 6440 + 7728 + 9660 + 12880 + 19320 + 38640 = 142848

Prime Factorization of 38640

See the full prime factorization calculator →

Properties of 38640

  • 38640 is composite.
  • 38640 is not a perfect square.
  • Number of divisors: 80.
  • Sum of divisors: 142848.

Common Divisors with Another Number?

Looking for the divisors that 38640 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 38640

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √38640 ≈ 196.57. If i divides 38640, then both i and 38640/i are divisors.

  1. 1 divides 38640 (38640 ÷ 1 = 38640) → pair (1, 38640)
  2. 2 divides 38640 (38640 ÷ 2 = 19320) → pair (2, 19320)
  3. 3 divides 38640 (38640 ÷ 3 = 12880) → pair (3, 12880)
  4. 4 divides 38640 (38640 ÷ 4 = 9660) → pair (4, 9660)
  5. 5 divides 38640 (38640 ÷ 5 = 7728) → pair (5, 7728)
  6. 6 divides 38640 (38640 ÷ 6 = 6440) → pair (6, 6440)
  7. 7 divides 38640 (38640 ÷ 7 = 5520) → pair (7, 5520)
  8. 8 divides 38640 (38640 ÷ 8 = 4830) → pair (8, 4830)
  9. 10 divides 38640 (38640 ÷ 10 = 3864) → pair (10, 3864)
  10. 12 divides 38640 (38640 ÷ 12 = 3220) → pair (12, 3220)
  11. 14 divides 38640 (38640 ÷ 14 = 2760) → pair (14, 2760)
  12. 15 divides 38640 (38640 ÷ 15 = 2576) → pair (15, 2576)
  13. 16 divides 38640 (38640 ÷ 16 = 2415) → pair (16, 2415)
  14. 20 divides 38640 (38640 ÷ 20 = 1932) → pair (20, 1932)
  15. 21 divides 38640 (38640 ÷ 21 = 1840) → pair (21, 1840)
  16. 23 divides 38640 (38640 ÷ 23 = 1680) → pair (23, 1680)
  17. 24 divides 38640 (38640 ÷ 24 = 1610) → pair (24, 1610)
  18. 28 divides 38640 (38640 ÷ 28 = 1380) → pair (28, 1380)
  19. 30 divides 38640 (38640 ÷ 30 = 1288) → pair (30, 1288)
  20. 35 divides 38640 (38640 ÷ 35 = 1104) → pair (35, 1104)
  21. 40 divides 38640 (38640 ÷ 40 = 966) → pair (40, 966)
  22. 42 divides 38640 (38640 ÷ 42 = 920) → pair (42, 920)
  23. 46 divides 38640 (38640 ÷ 46 = 840) → pair (46, 840)
  24. 48 divides 38640 (38640 ÷ 48 = 805) → pair (48, 805)
  25. 56 divides 38640 (38640 ÷ 56 = 690) → pair (56, 690)
  26. 60 divides 38640 (38640 ÷ 60 = 644) → pair (60, 644)
  27. 69 divides 38640 (38640 ÷ 69 = 560) → pair (69, 560)
  28. 70 divides 38640 (38640 ÷ 70 = 552) → pair (70, 552)
  29. 80 divides 38640 (38640 ÷ 80 = 483) → pair (80, 483)
  30. 84 divides 38640 (38640 ÷ 84 = 460) → pair (84, 460)
  31. 92 divides 38640 (38640 ÷ 92 = 420) → pair (92, 420)
  32. 105 divides 38640 (38640 ÷ 105 = 368) → pair (105, 368)
  33. 112 divides 38640 (38640 ÷ 112 = 345) → pair (112, 345)
  34. 115 divides 38640 (38640 ÷ 115 = 336) → pair (115, 336)
  35. 120 divides 38640 (38640 ÷ 120 = 322) → pair (120, 322)
  36. 138 divides 38640 (38640 ÷ 138 = 280) → pair (138, 280)
  37. 140 divides 38640 (38640 ÷ 140 = 276) → pair (140, 276)
  38. 161 divides 38640 (38640 ÷ 161 = 240) → pair (161, 240)
  39. 168 divides 38640 (38640 ÷ 168 = 230) → pair (168, 230)
  40. 184 divides 38640 (38640 ÷ 184 = 210) → pair (184, 210)
  41. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 23, 24, 28, 30, 35, 40, 42, 46, 48, 56, 60, 69, 70, 80, 84, 92, 105, 112, 115, 120, 138, 140, 161, 168, 184, 210, 230, 240, 276, 280, 322, 336, 345, 368, 420, 460, 483, 552, 560, 644, 690, 805, 840, 920, 966, 1104, 1288, 1380, 1610, 1680, 1840, 1932, 2415, 2576, 2760, 3220, 3864, 4830, 5520, 6440, 7728, 9660, 12880, 19320, 38640} — total 80 divisors.
  42. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 23 + 24 + 28 + 30 + 35 + 40 + 42 + 46 + 48 + 56 + 60 + 69 + 70 + 80 + 84 + 92 + 105 + 112 + 115 + 120 + 138 + 140 + 161 + 168 + 184 + 210 + 230 + 240 + 276 + 280 + 322 + 336 + 345 + 368 + 420 + 460 + 483 + 552 + 560 + 644 + 690 + 805 + 840 + 920 + 966 + 1104 + 1288 + 1380 + 1610 + 1680 + 1840 + 1932 + 2415 + 2576 + 2760 + 3220 + 3864 + 4830 + 5520 + 6440 + 7728 + 9660 + 12880 + 19320 + 38640 = 142848.

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Related Operations for 38640

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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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