Divisors of 38880: All 72 Factors

Quick Answer

38880 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 96, 108, 120, 135, 144, 160, 162, 180, 216, 240, 243, 270, 288, 324, 360, 405, 432, 480, 486, 540, 648, 720, 810, 864, 972, 1080, 1215, 1296, 1440, 1620, 1944, 2160, 2430, 2592, 3240, 3888, 4320, 4860, 6480, 7776, 9720, 12960, 19440, 38880.

Sum: 137592.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

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72 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 96, 108, 120, 135, 144, 160, 162, 180, 216, 240, 243, 270, 288, 324, 360, 405, 432, 480, 486, 540, 648, 720, 810, 864, 972, 1080, 1215, 1296, 1440, 1620, 1944, 2160, 2430, 2592, 3240, 3888, 4320, 4860, 6480, 7776, 9720, 12960, 19440, 38880

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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 38880

The number 38880 has 72 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  18,  20,  24,  27,  30,  32,  36,  40,  45,  48,  54,  60,  72,  80,  81,  90,  96,  108,  120,  135,  144,  160,  162,  180,  216,  240,  243,  270,  288,  324,  360,  405,  432,  480,  486,  540,  648,  720,  810,  864,  972,  1080,  1215,  1296,  1440,  1620,  1944,  2160,  2430,  2592,  3240,  3888,  4320,  4860,  6480,  7776,  9720,  12960,  19440,  38880

Divisor Pairs of 38880

Each pair multiplies to 38880:

Factor 1×Factor 2=Product
1×38880=38880
2×19440=38880
3×12960=38880
4×9720=38880
5×7776=38880
6×6480=38880
8×4860=38880
9×4320=38880
10×3888=38880
12×3240=38880
15×2592=38880
16×2430=38880
18×2160=38880
20×1944=38880
24×1620=38880
27×1440=38880
30×1296=38880
32×1215=38880
36×1080=38880
40×972=38880
45×864=38880
48×810=38880
54×720=38880
60×648=38880
72×540=38880
80×486=38880
81×480=38880
90×432=38880
96×405=38880
108×360=38880
120×324=38880
135×288=38880
144×270=38880
160×243=38880
162×240=38880
180×216=38880

Number of Divisors

The number 38880 has 72 divisors, written as τ(38880) = 72 in number theory.

Sum of Divisors

σ(38880) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 27 + 30 + 32 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 81 + 90 + 96 + 108 + 120 + 135 + 144 + 160 + 162 + 180 + 216 + 240 + 243 + 270 + 288 + 324 + 360 + 405 + 432 + 480 + 486 + 540 + 648 + 720 + 810 + 864 + 972 + 1080 + 1215 + 1296 + 1440 + 1620 + 1944 + 2160 + 2430 + 2592 + 3240 + 3888 + 4320 + 4860 + 6480 + 7776 + 9720 + 12960 + 19440 + 38880 = 137592

Prime Factorization of 38880

See the full prime factorization calculator →

Properties of 38880

  • 38880 is composite.
  • 38880 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 137592.

Common Divisors with Another Number?

Looking for the divisors that 38880 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 38880

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √38880 ≈ 197.18. If i divides 38880, then both i and 38880/i are divisors.

  1. 1 divides 38880 (38880 ÷ 1 = 38880) → pair (1, 38880)
  2. 2 divides 38880 (38880 ÷ 2 = 19440) → pair (2, 19440)
  3. 3 divides 38880 (38880 ÷ 3 = 12960) → pair (3, 12960)
  4. 4 divides 38880 (38880 ÷ 4 = 9720) → pair (4, 9720)
  5. 5 divides 38880 (38880 ÷ 5 = 7776) → pair (5, 7776)
  6. 6 divides 38880 (38880 ÷ 6 = 6480) → pair (6, 6480)
  7. 8 divides 38880 (38880 ÷ 8 = 4860) → pair (8, 4860)
  8. 9 divides 38880 (38880 ÷ 9 = 4320) → pair (9, 4320)
  9. 10 divides 38880 (38880 ÷ 10 = 3888) → pair (10, 3888)
  10. 12 divides 38880 (38880 ÷ 12 = 3240) → pair (12, 3240)
  11. 15 divides 38880 (38880 ÷ 15 = 2592) → pair (15, 2592)
  12. 16 divides 38880 (38880 ÷ 16 = 2430) → pair (16, 2430)
  13. 18 divides 38880 (38880 ÷ 18 = 2160) → pair (18, 2160)
  14. 20 divides 38880 (38880 ÷ 20 = 1944) → pair (20, 1944)
  15. 24 divides 38880 (38880 ÷ 24 = 1620) → pair (24, 1620)
  16. 27 divides 38880 (38880 ÷ 27 = 1440) → pair (27, 1440)
  17. 30 divides 38880 (38880 ÷ 30 = 1296) → pair (30, 1296)
  18. 32 divides 38880 (38880 ÷ 32 = 1215) → pair (32, 1215)
  19. 36 divides 38880 (38880 ÷ 36 = 1080) → pair (36, 1080)
  20. 40 divides 38880 (38880 ÷ 40 = 972) → pair (40, 972)
  21. 45 divides 38880 (38880 ÷ 45 = 864) → pair (45, 864)
  22. 48 divides 38880 (38880 ÷ 48 = 810) → pair (48, 810)
  23. 54 divides 38880 (38880 ÷ 54 = 720) → pair (54, 720)
  24. 60 divides 38880 (38880 ÷ 60 = 648) → pair (60, 648)
  25. 72 divides 38880 (38880 ÷ 72 = 540) → pair (72, 540)
  26. 80 divides 38880 (38880 ÷ 80 = 486) → pair (80, 486)
  27. 81 divides 38880 (38880 ÷ 81 = 480) → pair (81, 480)
  28. 90 divides 38880 (38880 ÷ 90 = 432) → pair (90, 432)
  29. 96 divides 38880 (38880 ÷ 96 = 405) → pair (96, 405)
  30. 108 divides 38880 (38880 ÷ 108 = 360) → pair (108, 360)
  31. 120 divides 38880 (38880 ÷ 120 = 324) → pair (120, 324)
  32. 135 divides 38880 (38880 ÷ 135 = 288) → pair (135, 288)
  33. 144 divides 38880 (38880 ÷ 144 = 270) → pair (144, 270)
  34. 160 divides 38880 (38880 ÷ 160 = 243) → pair (160, 243)
  35. 162 divides 38880 (38880 ÷ 162 = 240) → pair (162, 240)
  36. 180 divides 38880 (38880 ÷ 180 = 216) → pair (180, 216)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 96, 108, 120, 135, 144, 160, 162, 180, 216, 240, 243, 270, 288, 324, 360, 405, 432, 480, 486, 540, 648, 720, 810, 864, 972, 1080, 1215, 1296, 1440, 1620, 1944, 2160, 2430, 2592, 3240, 3888, 4320, 4860, 6480, 7776, 9720, 12960, 19440, 38880} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 27 + 30 + 32 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 81 + 90 + 96 + 108 + 120 + 135 + 144 + 160 + 162 + 180 + 216 + 240 + 243 + 270 + 288 + 324 + 360 + 405 + 432 + 480 + 486 + 540 + 648 + 720 + 810 + 864 + 972 + 1080 + 1215 + 1296 + 1440 + 1620 + 1944 + 2160 + 2430 + 2592 + 3240 + 3888 + 4320 + 4860 + 6480 + 7776 + 9720 + 12960 + 19440 + 38880 = 137592.

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Related Operations for 38880

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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