Divisors of 27090: All 48 Factors

Quick Answer

27090 has 48 divisors (factors): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 43, 45, 63, 70, 86, 90, 105, 126, 129, 210, 215, 258, 301, 315, 387, 430, 602, 630, 645, 774, 903, 1290, 1505, 1806, 1935, 2709, 3010, 3870, 4515, 5418, 9030, 13545, 27090.

Sum: 82368.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 43, 45, 63, 70, 86, 90, 105, 126, 129, 210, 215, 258, 301, 315, 387, 430, 602, 630, 645, 774, 903, 1290, 1505, 1806, 1935, 2709, 3010, 3870, 4515, 5418, 9030, 13545, 27090

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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 27090

The number 27090 has 48 divisors:

1,  2,  3,  5,  6,  7,  9,  10,  14,  15,  18,  21,  30,  35,  42,  43,  45,  63,  70,  86,  90,  105,  126,  129,  210,  215,  258,  301,  315,  387,  430,  602,  630,  645,  774,  903,  1290,  1505,  1806,  1935,  2709,  3010,  3870,  4515,  5418,  9030,  13545,  27090

Divisor Pairs of 27090

Each pair multiplies to 27090:

Factor 1×Factor 2=Product
1×27090=27090
2×13545=27090
3×9030=27090
5×5418=27090
6×4515=27090
7×3870=27090
9×3010=27090
10×2709=27090
14×1935=27090
15×1806=27090
18×1505=27090
21×1290=27090
30×903=27090
35×774=27090
42×645=27090
43×630=27090
45×602=27090
63×430=27090
70×387=27090
86×315=27090
90×301=27090
105×258=27090
126×215=27090
129×210=27090

Number of Divisors

The number 27090 has 48 divisors, written as τ(27090) = 48 in number theory.

Sum of Divisors

σ(27090) = 1 + 2 + 3 + 5 + 6 + 7 + 9 + 10 + 14 + 15 + 18 + 21 + 30 + 35 + 42 + 43 + 45 + 63 + 70 + 86 + 90 + 105 + 126 + 129 + 210 + 215 + 258 + 301 + 315 + 387 + 430 + 602 + 630 + 645 + 774 + 903 + 1290 + 1505 + 1806 + 1935 + 2709 + 3010 + 3870 + 4515 + 5418 + 9030 + 13545 + 27090 = 82368

Prime Factorization of 27090

See the full prime factorization calculator →

Properties of 27090

  • 27090 is composite.
  • 27090 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 82368.

Common Divisors with Another Number?

Looking for the divisors that 27090 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 27090

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √27090 ≈ 164.59. If i divides 27090, then both i and 27090/i are divisors.

  1. 1 divides 27090 (27090 ÷ 1 = 27090) → pair (1, 27090)
  2. 2 divides 27090 (27090 ÷ 2 = 13545) → pair (2, 13545)
  3. 3 divides 27090 (27090 ÷ 3 = 9030) → pair (3, 9030)
  4. 5 divides 27090 (27090 ÷ 5 = 5418) → pair (5, 5418)
  5. 6 divides 27090 (27090 ÷ 6 = 4515) → pair (6, 4515)
  6. 7 divides 27090 (27090 ÷ 7 = 3870) → pair (7, 3870)
  7. 9 divides 27090 (27090 ÷ 9 = 3010) → pair (9, 3010)
  8. 10 divides 27090 (27090 ÷ 10 = 2709) → pair (10, 2709)
  9. 14 divides 27090 (27090 ÷ 14 = 1935) → pair (14, 1935)
  10. 15 divides 27090 (27090 ÷ 15 = 1806) → pair (15, 1806)
  11. 18 divides 27090 (27090 ÷ 18 = 1505) → pair (18, 1505)
  12. 21 divides 27090 (27090 ÷ 21 = 1290) → pair (21, 1290)
  13. 30 divides 27090 (27090 ÷ 30 = 903) → pair (30, 903)
  14. 35 divides 27090 (27090 ÷ 35 = 774) → pair (35, 774)
  15. 42 divides 27090 (27090 ÷ 42 = 645) → pair (42, 645)
  16. 43 divides 27090 (27090 ÷ 43 = 630) → pair (43, 630)
  17. 45 divides 27090 (27090 ÷ 45 = 602) → pair (45, 602)
  18. 63 divides 27090 (27090 ÷ 63 = 430) → pair (63, 430)
  19. 70 divides 27090 (27090 ÷ 70 = 387) → pair (70, 387)
  20. 86 divides 27090 (27090 ÷ 86 = 315) → pair (86, 315)
  21. 90 divides 27090 (27090 ÷ 90 = 301) → pair (90, 301)
  22. 105 divides 27090 (27090 ÷ 105 = 258) → pair (105, 258)
  23. 126 divides 27090 (27090 ÷ 126 = 215) → pair (126, 215)
  24. 129 divides 27090 (27090 ÷ 129 = 210) → pair (129, 210)
  25. Collect all unique values: {1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 43, 45, 63, 70, 86, 90, 105, 126, 129, 210, 215, 258, 301, 315, 387, 430, 602, 630, 645, 774, 903, 1290, 1505, 1806, 1935, 2709, 3010, 3870, 4515, 5418, 9030, 13545, 27090} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 5 + 6 + 7 + 9 + 10 + 14 + 15 + 18 + 21 + 30 + 35 + 42 + 43 + 45 + 63 + 70 + 86 + 90 + 105 + 126 + 129 + 210 + 215 + 258 + 301 + 315 + 387 + 430 + 602 + 630 + 645 + 774 + 903 + 1290 + 1505 + 1806 + 1935 + 2709 + 3010 + 3870 + 4515 + 5418 + 9030 + 13545 + 27090 = 82368.

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Related Operations for 27090

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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