Divisors of 33660: All 72 Factors

Quick Answer

33660 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 17, 18, 20, 22, 30, 33, 34, 36, 44, 45, 51, 55, 60, 66, 68, 85, 90, 99, 102, 110, 132, 153, 165, 170, 180, 187, 198, 204, 220, 255, 306, 330, 340, 374, 396, 495, 510, 561, 612, 660, 748, 765, 935, 990, 1020, 1122, 1530, 1683, 1870, 1980, 2244, 2805, 3060, 3366, 3740, 5610, 6732, 8415, 11220, 16830, 33660.

Sum: 117936.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
72 divisors
1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 17, 18, 20, 22, 30, 33, 34, 36, 44, 45, 51, 55, 60, 66, 68, 85, 90, 99, 102, 110, 132, 153, 165, 170, 180, 187, 198, 204, 220, 255, 306, 330, 340, 374, 396, 495, 510, 561, 612, 660, 748, 765, 935, 990, 1020, 1122, 1530, 1683, 1870, 1980, 2244, 2805, 3060, 3366, 3740, 5610, 6732, 8415, 11220, 16830, 33660

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 33660

The number 33660 has 72 divisors:

1,  2,  3,  4,  5,  6,  9,  10,  11,  12,  15,  17,  18,  20,  22,  30,  33,  34,  36,  44,  45,  51,  55,  60,  66,  68,  85,  90,  99,  102,  110,  132,  153,  165,  170,  180,  187,  198,  204,  220,  255,  306,  330,  340,  374,  396,  495,  510,  561,  612,  660,  748,  765,  935,  990,  1020,  1122,  1530,  1683,  1870,  1980,  2244,  2805,  3060,  3366,  3740,  5610,  6732,  8415,  11220,  16830,  33660

Divisor Pairs of 33660

Each pair multiplies to 33660:

Factor 1×Factor 2=Product
1×33660=33660
2×16830=33660
3×11220=33660
4×8415=33660
5×6732=33660
6×5610=33660
9×3740=33660
10×3366=33660
11×3060=33660
12×2805=33660
15×2244=33660
17×1980=33660
18×1870=33660
20×1683=33660
22×1530=33660
30×1122=33660
33×1020=33660
34×990=33660
36×935=33660
44×765=33660
45×748=33660
51×660=33660
55×612=33660
60×561=33660
66×510=33660
68×495=33660
85×396=33660
90×374=33660
99×340=33660
102×330=33660
110×306=33660
132×255=33660
153×220=33660
165×204=33660
170×198=33660
180×187=33660

Number of Divisors

The number 33660 has 72 divisors, written as τ(33660) = 72 in number theory.

Sum of Divisors

σ(33660) = 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 11 + 12 + 15 + 17 + 18 + 20 + 22 + 30 + 33 + 34 + 36 + 44 + 45 + 51 + 55 + 60 + 66 + 68 + 85 + 90 + 99 + 102 + 110 + 132 + 153 + 165 + 170 + 180 + 187 + 198 + 204 + 220 + 255 + 306 + 330 + 340 + 374 + 396 + 495 + 510 + 561 + 612 + 660 + 748 + 765 + 935 + 990 + 1020 + 1122 + 1530 + 1683 + 1870 + 1980 + 2244 + 2805 + 3060 + 3366 + 3740 + 5610 + 6732 + 8415 + 11220 + 16830 + 33660 = 117936

Prime Factorization of 33660

See the full prime factorization calculator →

Properties of 33660

  • 33660 is composite.
  • 33660 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 117936.

Common Divisors with Another Number?

Looking for the divisors that 33660 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 33660

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √33660 ≈ 183.47. If i divides 33660, then both i and 33660/i are divisors.

  1. 1 divides 33660 (33660 ÷ 1 = 33660) → pair (1, 33660)
  2. 2 divides 33660 (33660 ÷ 2 = 16830) → pair (2, 16830)
  3. 3 divides 33660 (33660 ÷ 3 = 11220) → pair (3, 11220)
  4. 4 divides 33660 (33660 ÷ 4 = 8415) → pair (4, 8415)
  5. 5 divides 33660 (33660 ÷ 5 = 6732) → pair (5, 6732)
  6. 6 divides 33660 (33660 ÷ 6 = 5610) → pair (6, 5610)
  7. 9 divides 33660 (33660 ÷ 9 = 3740) → pair (9, 3740)
  8. 10 divides 33660 (33660 ÷ 10 = 3366) → pair (10, 3366)
  9. 11 divides 33660 (33660 ÷ 11 = 3060) → pair (11, 3060)
  10. 12 divides 33660 (33660 ÷ 12 = 2805) → pair (12, 2805)
  11. 15 divides 33660 (33660 ÷ 15 = 2244) → pair (15, 2244)
  12. 17 divides 33660 (33660 ÷ 17 = 1980) → pair (17, 1980)
  13. 18 divides 33660 (33660 ÷ 18 = 1870) → pair (18, 1870)
  14. 20 divides 33660 (33660 ÷ 20 = 1683) → pair (20, 1683)
  15. 22 divides 33660 (33660 ÷ 22 = 1530) → pair (22, 1530)
  16. 30 divides 33660 (33660 ÷ 30 = 1122) → pair (30, 1122)
  17. 33 divides 33660 (33660 ÷ 33 = 1020) → pair (33, 1020)
  18. 34 divides 33660 (33660 ÷ 34 = 990) → pair (34, 990)
  19. 36 divides 33660 (33660 ÷ 36 = 935) → pair (36, 935)
  20. 44 divides 33660 (33660 ÷ 44 = 765) → pair (44, 765)
  21. 45 divides 33660 (33660 ÷ 45 = 748) → pair (45, 748)
  22. 51 divides 33660 (33660 ÷ 51 = 660) → pair (51, 660)
  23. 55 divides 33660 (33660 ÷ 55 = 612) → pair (55, 612)
  24. 60 divides 33660 (33660 ÷ 60 = 561) → pair (60, 561)
  25. 66 divides 33660 (33660 ÷ 66 = 510) → pair (66, 510)
  26. 68 divides 33660 (33660 ÷ 68 = 495) → pair (68, 495)
  27. 85 divides 33660 (33660 ÷ 85 = 396) → pair (85, 396)
  28. 90 divides 33660 (33660 ÷ 90 = 374) → pair (90, 374)
  29. 99 divides 33660 (33660 ÷ 99 = 340) → pair (99, 340)
  30. 102 divides 33660 (33660 ÷ 102 = 330) → pair (102, 330)
  31. 110 divides 33660 (33660 ÷ 110 = 306) → pair (110, 306)
  32. 132 divides 33660 (33660 ÷ 132 = 255) → pair (132, 255)
  33. 153 divides 33660 (33660 ÷ 153 = 220) → pair (153, 220)
  34. 165 divides 33660 (33660 ÷ 165 = 204) → pair (165, 204)
  35. 170 divides 33660 (33660 ÷ 170 = 198) → pair (170, 198)
  36. 180 divides 33660 (33660 ÷ 180 = 187) → pair (180, 187)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 17, 18, 20, 22, 30, 33, 34, 36, 44, 45, 51, 55, 60, 66, 68, 85, 90, 99, 102, 110, 132, 153, 165, 170, 180, 187, 198, 204, 220, 255, 306, 330, 340, 374, 396, 495, 510, 561, 612, 660, 748, 765, 935, 990, 1020, 1122, 1530, 1683, 1870, 1980, 2244, 2805, 3060, 3366, 3740, 5610, 6732, 8415, 11220, 16830, 33660} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 11 + 12 + 15 + 17 + 18 + 20 + 22 + 30 + 33 + 34 + 36 + 44 + 45 + 51 + 55 + 60 + 66 + 68 + 85 + 90 + 99 + 102 + 110 + 132 + 153 + 165 + 170 + 180 + 187 + 198 + 204 + 220 + 255 + 306 + 330 + 340 + 374 + 396 + 495 + 510 + 561 + 612 + 660 + 748 + 765 + 935 + 990 + 1020 + 1122 + 1530 + 1683 + 1870 + 1980 + 2244 + 2805 + 3060 + 3366 + 3740 + 5610 + 6732 + 8415 + 11220 + 16830 + 33660 = 117936.

Nearby Examples

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

Related Operations for 33660

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:

1,86212 div1,9664 div26012 div74812 div1,1858 div1,30216 div3584 div1,9708 div2,0236 div1009 div1,0308 div1,2074 div

Related Calculators