Divisors of 38220: All 72 Factors

Quick Answer

38220 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, 38220.

Sum: 134064.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
72 divisors
1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, 38220

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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 38220

The number 38220 has 72 divisors:

1,  2,  3,  4,  5,  6,  7,  10,  12,  13,  14,  15,  20,  21,  26,  28,  30,  35,  39,  42,  49,  52,  60,  65,  70,  78,  84,  91,  98,  105,  130,  140,  147,  156,  182,  195,  196,  210,  245,  260,  273,  294,  364,  390,  420,  455,  490,  546,  588,  637,  735,  780,  910,  980,  1092,  1274,  1365,  1470,  1820,  1911,  2548,  2730,  2940,  3185,  3822,  5460,  6370,  7644,  9555,  12740,  19110,  38220

Divisor Pairs of 38220

Each pair multiplies to 38220:

Factor 1×Factor 2=Product
1×38220=38220
2×19110=38220
3×12740=38220
4×9555=38220
5×7644=38220
6×6370=38220
7×5460=38220
10×3822=38220
12×3185=38220
13×2940=38220
14×2730=38220
15×2548=38220
20×1911=38220
21×1820=38220
26×1470=38220
28×1365=38220
30×1274=38220
35×1092=38220
39×980=38220
42×910=38220
49×780=38220
52×735=38220
60×637=38220
65×588=38220
70×546=38220
78×490=38220
84×455=38220
91×420=38220
98×390=38220
105×364=38220
130×294=38220
140×273=38220
147×260=38220
156×245=38220
182×210=38220
195×196=38220

Number of Divisors

The number 38220 has 72 divisors, written as τ(38220) = 72 in number theory.

Sum of Divisors

σ(38220) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 13 + 14 + 15 + 20 + 21 + 26 + 28 + 30 + 35 + 39 + 42 + 49 + 52 + 60 + 65 + 70 + 78 + 84 + 91 + 98 + 105 + 130 + 140 + 147 + 156 + 182 + 195 + 196 + 210 + 245 + 260 + 273 + 294 + 364 + 390 + 420 + 455 + 490 + 546 + 588 + 637 + 735 + 780 + 910 + 980 + 1092 + 1274 + 1365 + 1470 + 1820 + 1911 + 2548 + 2730 + 2940 + 3185 + 3822 + 5460 + 6370 + 7644 + 9555 + 12740 + 19110 + 38220 = 134064

Prime Factorization of 38220

See the full prime factorization calculator →

Properties of 38220

  • 38220 is composite.
  • 38220 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 134064.

Common Divisors with Another Number?

Looking for the divisors that 38220 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 38220

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √38220 ≈ 195.50. If i divides 38220, then both i and 38220/i are divisors.

  1. 1 divides 38220 (38220 ÷ 1 = 38220) → pair (1, 38220)
  2. 2 divides 38220 (38220 ÷ 2 = 19110) → pair (2, 19110)
  3. 3 divides 38220 (38220 ÷ 3 = 12740) → pair (3, 12740)
  4. 4 divides 38220 (38220 ÷ 4 = 9555) → pair (4, 9555)
  5. 5 divides 38220 (38220 ÷ 5 = 7644) → pair (5, 7644)
  6. 6 divides 38220 (38220 ÷ 6 = 6370) → pair (6, 6370)
  7. 7 divides 38220 (38220 ÷ 7 = 5460) → pair (7, 5460)
  8. 10 divides 38220 (38220 ÷ 10 = 3822) → pair (10, 3822)
  9. 12 divides 38220 (38220 ÷ 12 = 3185) → pair (12, 3185)
  10. 13 divides 38220 (38220 ÷ 13 = 2940) → pair (13, 2940)
  11. 14 divides 38220 (38220 ÷ 14 = 2730) → pair (14, 2730)
  12. 15 divides 38220 (38220 ÷ 15 = 2548) → pair (15, 2548)
  13. 20 divides 38220 (38220 ÷ 20 = 1911) → pair (20, 1911)
  14. 21 divides 38220 (38220 ÷ 21 = 1820) → pair (21, 1820)
  15. 26 divides 38220 (38220 ÷ 26 = 1470) → pair (26, 1470)
  16. 28 divides 38220 (38220 ÷ 28 = 1365) → pair (28, 1365)
  17. 30 divides 38220 (38220 ÷ 30 = 1274) → pair (30, 1274)
  18. 35 divides 38220 (38220 ÷ 35 = 1092) → pair (35, 1092)
  19. 39 divides 38220 (38220 ÷ 39 = 980) → pair (39, 980)
  20. 42 divides 38220 (38220 ÷ 42 = 910) → pair (42, 910)
  21. 49 divides 38220 (38220 ÷ 49 = 780) → pair (49, 780)
  22. 52 divides 38220 (38220 ÷ 52 = 735) → pair (52, 735)
  23. 60 divides 38220 (38220 ÷ 60 = 637) → pair (60, 637)
  24. 65 divides 38220 (38220 ÷ 65 = 588) → pair (65, 588)
  25. 70 divides 38220 (38220 ÷ 70 = 546) → pair (70, 546)
  26. 78 divides 38220 (38220 ÷ 78 = 490) → pair (78, 490)
  27. 84 divides 38220 (38220 ÷ 84 = 455) → pair (84, 455)
  28. 91 divides 38220 (38220 ÷ 91 = 420) → pair (91, 420)
  29. 98 divides 38220 (38220 ÷ 98 = 390) → pair (98, 390)
  30. 105 divides 38220 (38220 ÷ 105 = 364) → pair (105, 364)
  31. 130 divides 38220 (38220 ÷ 130 = 294) → pair (130, 294)
  32. 140 divides 38220 (38220 ÷ 140 = 273) → pair (140, 273)
  33. 147 divides 38220 (38220 ÷ 147 = 260) → pair (147, 260)
  34. 156 divides 38220 (38220 ÷ 156 = 245) → pair (156, 245)
  35. 182 divides 38220 (38220 ÷ 182 = 210) → pair (182, 210)
  36. 195 divides 38220 (38220 ÷ 195 = 196) → pair (195, 196)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, 38220} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 13 + 14 + 15 + 20 + 21 + 26 + 28 + 30 + 35 + 39 + 42 + 49 + 52 + 60 + 65 + 70 + 78 + 84 + 91 + 98 + 105 + 130 + 140 + 147 + 156 + 182 + 195 + 196 + 210 + 245 + 260 + 273 + 294 + 364 + 390 + 420 + 455 + 490 + 546 + 588 + 637 + 735 + 780 + 910 + 980 + 1092 + 1274 + 1365 + 1470 + 1820 + 1911 + 2548 + 2730 + 2940 + 3185 + 3822 + 5460 + 6370 + 7644 + 9555 + 12740 + 19110 + 38220 = 134064.

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Related Operations for 38220

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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