Divisors of 13320: All 48 Factors

Quick Answer

13320 has 48 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 37, 40, 45, 60, 72, 74, 90, 111, 120, 148, 180, 185, 222, 296, 333, 360, 370, 444, 555, 666, 740, 888, 1110, 1332, 1480, 1665, 2220, 2664, 3330, 4440, 6660, 13320.

Sum: 44460.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
48 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 37, 40, 45, 60, 72, 74, 90, 111, 120, 148, 180, 185, 222, 296, 333, 360, 370, 444, 555, 666, 740, 888, 1110, 1332, 1480, 1665, 2220, 2664, 3330, 4440, 6660, 13320

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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 13320

The number 13320 has 48 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  18,  20,  24,  30,  36,  37,  40,  45,  60,  72,  74,  90,  111,  120,  148,  180,  185,  222,  296,  333,  360,  370,  444,  555,  666,  740,  888,  1110,  1332,  1480,  1665,  2220,  2664,  3330,  4440,  6660,  13320

Divisor Pairs of 13320

Each pair multiplies to 13320:

Factor 1×Factor 2=Product
1×13320=13320
2×6660=13320
3×4440=13320
4×3330=13320
5×2664=13320
6×2220=13320
8×1665=13320
9×1480=13320
10×1332=13320
12×1110=13320
15×888=13320
18×740=13320
20×666=13320
24×555=13320
30×444=13320
36×370=13320
37×360=13320
40×333=13320
45×296=13320
60×222=13320
72×185=13320
74×180=13320
90×148=13320
111×120=13320

Number of Divisors

The number 13320 has 48 divisors, written as τ(13320) = 48 in number theory.

Sum of Divisors

σ(13320) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 37 + 40 + 45 + 60 + 72 + 74 + 90 + 111 + 120 + 148 + 180 + 185 + 222 + 296 + 333 + 360 + 370 + 444 + 555 + 666 + 740 + 888 + 1110 + 1332 + 1480 + 1665 + 2220 + 2664 + 3330 + 4440 + 6660 + 13320 = 44460

Prime Factorization of 13320

See the full prime factorization calculator →

Properties of 13320

  • 13320 is composite.
  • 13320 is not a perfect square.
  • Number of divisors: 48.
  • Sum of divisors: 44460.

Common Divisors with Another Number?

Looking for the divisors that 13320 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 13320

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √13320 ≈ 115.41. If i divides 13320, then both i and 13320/i are divisors.

  1. 1 divides 13320 (13320 ÷ 1 = 13320) → pair (1, 13320)
  2. 2 divides 13320 (13320 ÷ 2 = 6660) → pair (2, 6660)
  3. 3 divides 13320 (13320 ÷ 3 = 4440) → pair (3, 4440)
  4. 4 divides 13320 (13320 ÷ 4 = 3330) → pair (4, 3330)
  5. 5 divides 13320 (13320 ÷ 5 = 2664) → pair (5, 2664)
  6. 6 divides 13320 (13320 ÷ 6 = 2220) → pair (6, 2220)
  7. 8 divides 13320 (13320 ÷ 8 = 1665) → pair (8, 1665)
  8. 9 divides 13320 (13320 ÷ 9 = 1480) → pair (9, 1480)
  9. 10 divides 13320 (13320 ÷ 10 = 1332) → pair (10, 1332)
  10. 12 divides 13320 (13320 ÷ 12 = 1110) → pair (12, 1110)
  11. 15 divides 13320 (13320 ÷ 15 = 888) → pair (15, 888)
  12. 18 divides 13320 (13320 ÷ 18 = 740) → pair (18, 740)
  13. 20 divides 13320 (13320 ÷ 20 = 666) → pair (20, 666)
  14. 24 divides 13320 (13320 ÷ 24 = 555) → pair (24, 555)
  15. 30 divides 13320 (13320 ÷ 30 = 444) → pair (30, 444)
  16. 36 divides 13320 (13320 ÷ 36 = 370) → pair (36, 370)
  17. 37 divides 13320 (13320 ÷ 37 = 360) → pair (37, 360)
  18. 40 divides 13320 (13320 ÷ 40 = 333) → pair (40, 333)
  19. 45 divides 13320 (13320 ÷ 45 = 296) → pair (45, 296)
  20. 60 divides 13320 (13320 ÷ 60 = 222) → pair (60, 222)
  21. 72 divides 13320 (13320 ÷ 72 = 185) → pair (72, 185)
  22. 74 divides 13320 (13320 ÷ 74 = 180) → pair (74, 180)
  23. 90 divides 13320 (13320 ÷ 90 = 148) → pair (90, 148)
  24. 111 divides 13320 (13320 ÷ 111 = 120) → pair (111, 120)
  25. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 37, 40, 45, 60, 72, 74, 90, 111, 120, 148, 180, 185, 222, 296, 333, 360, 370, 444, 555, 666, 740, 888, 1110, 1332, 1480, 1665, 2220, 2664, 3330, 4440, 6660, 13320} — total 48 divisors.
  26. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 37 + 40 + 45 + 60 + 72 + 74 + 90 + 111 + 120 + 148 + 180 + 185 + 222 + 296 + 333 + 360 + 370 + 444 + 555 + 666 + 740 + 888 + 1110 + 1332 + 1480 + 1665 + 2220 + 2664 + 3330 + 4440 + 6660 + 13320 = 44460.

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Related Operations for 13320

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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