Divisors of 15540: All 48 Factors

Quick Answer

15540 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 37, 42, 60, 70, 74, 84, 105, 111, 140, 148, 185, 210, 222, 259, 370, 420, 444, 518, 555, 740, 777, 1036, 1110, 1295, 1554, 2220, 2590, 3108, 3885, 5180, 7770, 15540.

Sum: 51072.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 37, 42, 60, 70, 74, 84, 105, 111, 140, 148, 185, 210, 222, 259, 370, 420, 444, 518, 555, 740, 777, 1036, 1110, 1295, 1554, 2220, 2590, 3108, 3885, 5180, 7770, 15540

Found an error? Contact us.

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 15540

The number 15540 has 48 divisors:

1,  2,  3,  4,  5,  6,  7,  10,  12,  14,  15,  20,  21,  28,  30,  35,  37,  42,  60,  70,  74,  84,  105,  111,  140,  148,  185,  210,  222,  259,  370,  420,  444,  518,  555,  740,  777,  1036,  1110,  1295,  1554,  2220,  2590,  3108,  3885,  5180,  7770,  15540

Divisor Pairs of 15540

Each pair multiplies to 15540:

Factor 1×Factor 2=Product
1×15540=15540
2×7770=15540
3×5180=15540
4×3885=15540
5×3108=15540
6×2590=15540
7×2220=15540
10×1554=15540
12×1295=15540
14×1110=15540
15×1036=15540
20×777=15540
21×740=15540
28×555=15540
30×518=15540
35×444=15540
37×420=15540
42×370=15540
60×259=15540
70×222=15540
74×210=15540
84×185=15540
105×148=15540
111×140=15540

Number of Divisors

The number 15540 has 48 divisors, written as τ(15540) = 48 in number theory.

Sum of Divisors

σ(15540) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 28 + 30 + 35 + 37 + 42 + 60 + 70 + 74 + 84 + 105 + 111 + 140 + 148 + 185 + 210 + 222 + 259 + 370 + 420 + 444 + 518 + 555 + 740 + 777 + 1036 + 1110 + 1295 + 1554 + 2220 + 2590 + 3108 + 3885 + 5180 + 7770 + 15540 = 51072

Prime Factorization of 15540

See the full prime factorization calculator →

Properties of 15540

  • 15540 is composite.
  • 15540 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 51072.

Common Divisors with Another Number?

Looking for the divisors that 15540 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 15540

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √15540 ≈ 124.66. If i divides 15540, then both i and 15540/i are divisors.

  1. 1 divides 15540 (15540 ÷ 1 = 15540) → pair (1, 15540)
  2. 2 divides 15540 (15540 ÷ 2 = 7770) → pair (2, 7770)
  3. 3 divides 15540 (15540 ÷ 3 = 5180) → pair (3, 5180)
  4. 4 divides 15540 (15540 ÷ 4 = 3885) → pair (4, 3885)
  5. 5 divides 15540 (15540 ÷ 5 = 3108) → pair (5, 3108)
  6. 6 divides 15540 (15540 ÷ 6 = 2590) → pair (6, 2590)
  7. 7 divides 15540 (15540 ÷ 7 = 2220) → pair (7, 2220)
  8. 10 divides 15540 (15540 ÷ 10 = 1554) → pair (10, 1554)
  9. 12 divides 15540 (15540 ÷ 12 = 1295) → pair (12, 1295)
  10. 14 divides 15540 (15540 ÷ 14 = 1110) → pair (14, 1110)
  11. 15 divides 15540 (15540 ÷ 15 = 1036) → pair (15, 1036)
  12. 20 divides 15540 (15540 ÷ 20 = 777) → pair (20, 777)
  13. 21 divides 15540 (15540 ÷ 21 = 740) → pair (21, 740)
  14. 28 divides 15540 (15540 ÷ 28 = 555) → pair (28, 555)
  15. 30 divides 15540 (15540 ÷ 30 = 518) → pair (30, 518)
  16. 35 divides 15540 (15540 ÷ 35 = 444) → pair (35, 444)
  17. 37 divides 15540 (15540 ÷ 37 = 420) → pair (37, 420)
  18. 42 divides 15540 (15540 ÷ 42 = 370) → pair (42, 370)
  19. 60 divides 15540 (15540 ÷ 60 = 259) → pair (60, 259)
  20. 70 divides 15540 (15540 ÷ 70 = 222) → pair (70, 222)
  21. 74 divides 15540 (15540 ÷ 74 = 210) → pair (74, 210)
  22. 84 divides 15540 (15540 ÷ 84 = 185) → pair (84, 185)
  23. 105 divides 15540 (15540 ÷ 105 = 148) → pair (105, 148)
  24. 111 divides 15540 (15540 ÷ 111 = 140) → pair (111, 140)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 37, 42, 60, 70, 74, 84, 105, 111, 140, 148, 185, 210, 222, 259, 370, 420, 444, 518, 555, 740, 777, 1036, 1110, 1295, 1554, 2220, 2590, 3108, 3885, 5180, 7770, 15540} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 28 + 30 + 35 + 37 + 42 + 60 + 70 + 74 + 84 + 105 + 111 + 140 + 148 + 185 + 210 + 222 + 259 + 370 + 420 + 444 + 518 + 555 + 740 + 777 + 1036 + 1110 + 1295 + 1554 + 2220 + 2590 + 3108 + 3885 + 5180 + 7770 + 15540 = 51072.

Nearby Examples

ndivisors countsum σ(n)
360241170
24020744
18018546
14415403
12016360
1009217
9012234
8412224

Related Operations for 15540

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

Divisors Calculation Examples

Find all divisors of these numbers:

1,0308 div1,2074 div1,2698 div1,4532 div1,75216 div1,86212 div1,9664 div26012 div74812 div1,1858 div1,30216 div3584 div

Related Calculators