Divisors of 33120: All 72 Factors

Quick Answer

33120 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 30, 32, 36, 40, 45, 46, 48, 60, 69, 72, 80, 90, 92, 96, 115, 120, 138, 144, 160, 180, 184, 207, 230, 240, 276, 288, 345, 360, 368, 414, 460, 480, 552, 690, 720, 736, 828, 920, 1035, 1104, 1380, 1440, 1656, 1840, 2070, 2208, 2760, 3312, 3680, 4140, 5520, 6624, 8280, 11040, 16560, 33120.

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, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 30, 32, 36, 40, 45, 46, 48, 60, 69, 72, 80, 90, 92, 96, 115, 120, 138, 144, 160, 180, 184, 207, 230, 240, 276, 288, 345, 360, 368, 414, 460, 480, 552, 690, 720, 736, 828, 920, 1035, 1104, 1380, 1440, 1656, 1840, 2070, 2208, 2760, 3312, 3680, 4140, 5520, 6624, 8280, 11040, 16560, 33120

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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 33120

The number 33120 has 72 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  18,  20,  23,  24,  30,  32,  36,  40,  45,  46,  48,  60,  69,  72,  80,  90,  92,  96,  115,  120,  138,  144,  160,  180,  184,  207,  230,  240,  276,  288,  345,  360,  368,  414,  460,  480,  552,  690,  720,  736,  828,  920,  1035,  1104,  1380,  1440,  1656,  1840,  2070,  2208,  2760,  3312,  3680,  4140,  5520,  6624,  8280,  11040,  16560,  33120

Divisor Pairs of 33120

Each pair multiplies to 33120:

Factor 1×Factor 2=Product
1×33120=33120
2×16560=33120
3×11040=33120
4×8280=33120
5×6624=33120
6×5520=33120
8×4140=33120
9×3680=33120
10×3312=33120
12×2760=33120
15×2208=33120
16×2070=33120
18×1840=33120
20×1656=33120
23×1440=33120
24×1380=33120
30×1104=33120
32×1035=33120
36×920=33120
40×828=33120
45×736=33120
46×720=33120
48×690=33120
60×552=33120
69×480=33120
72×460=33120
80×414=33120
90×368=33120
92×360=33120
96×345=33120
115×288=33120
120×276=33120
138×240=33120
144×230=33120
160×207=33120
180×184=33120

Number of Divisors

The number 33120 has 72 divisors, written as τ(33120) = 72 in number theory.

Sum of Divisors

σ(33120) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 23 + 24 + 30 + 32 + 36 + 40 + 45 + 46 + 48 + 60 + 69 + 72 + 80 + 90 + 92 + 96 + 115 + 120 + 138 + 144 + 160 + 180 + 184 + 207 + 230 + 240 + 276 + 288 + 345 + 360 + 368 + 414 + 460 + 480 + 552 + 690 + 720 + 736 + 828 + 920 + 1035 + 1104 + 1380 + 1440 + 1656 + 1840 + 2070 + 2208 + 2760 + 3312 + 3680 + 4140 + 5520 + 6624 + 8280 + 11040 + 16560 + 33120 = 117936

Prime Factorization of 33120

See the full prime factorization calculator →

Properties of 33120

  • 33120 is composite.
  • 33120 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 117936.

Common Divisors with Another Number?

Looking for the divisors that 33120 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 33120

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √33120 ≈ 181.99. If i divides 33120, then both i and 33120/i are divisors.

  1. 1 divides 33120 (33120 ÷ 1 = 33120) → pair (1, 33120)
  2. 2 divides 33120 (33120 ÷ 2 = 16560) → pair (2, 16560)
  3. 3 divides 33120 (33120 ÷ 3 = 11040) → pair (3, 11040)
  4. 4 divides 33120 (33120 ÷ 4 = 8280) → pair (4, 8280)
  5. 5 divides 33120 (33120 ÷ 5 = 6624) → pair (5, 6624)
  6. 6 divides 33120 (33120 ÷ 6 = 5520) → pair (6, 5520)
  7. 8 divides 33120 (33120 ÷ 8 = 4140) → pair (8, 4140)
  8. 9 divides 33120 (33120 ÷ 9 = 3680) → pair (9, 3680)
  9. 10 divides 33120 (33120 ÷ 10 = 3312) → pair (10, 3312)
  10. 12 divides 33120 (33120 ÷ 12 = 2760) → pair (12, 2760)
  11. 15 divides 33120 (33120 ÷ 15 = 2208) → pair (15, 2208)
  12. 16 divides 33120 (33120 ÷ 16 = 2070) → pair (16, 2070)
  13. 18 divides 33120 (33120 ÷ 18 = 1840) → pair (18, 1840)
  14. 20 divides 33120 (33120 ÷ 20 = 1656) → pair (20, 1656)
  15. 23 divides 33120 (33120 ÷ 23 = 1440) → pair (23, 1440)
  16. 24 divides 33120 (33120 ÷ 24 = 1380) → pair (24, 1380)
  17. 30 divides 33120 (33120 ÷ 30 = 1104) → pair (30, 1104)
  18. 32 divides 33120 (33120 ÷ 32 = 1035) → pair (32, 1035)
  19. 36 divides 33120 (33120 ÷ 36 = 920) → pair (36, 920)
  20. 40 divides 33120 (33120 ÷ 40 = 828) → pair (40, 828)
  21. 45 divides 33120 (33120 ÷ 45 = 736) → pair (45, 736)
  22. 46 divides 33120 (33120 ÷ 46 = 720) → pair (46, 720)
  23. 48 divides 33120 (33120 ÷ 48 = 690) → pair (48, 690)
  24. 60 divides 33120 (33120 ÷ 60 = 552) → pair (60, 552)
  25. 69 divides 33120 (33120 ÷ 69 = 480) → pair (69, 480)
  26. 72 divides 33120 (33120 ÷ 72 = 460) → pair (72, 460)
  27. 80 divides 33120 (33120 ÷ 80 = 414) → pair (80, 414)
  28. 90 divides 33120 (33120 ÷ 90 = 368) → pair (90, 368)
  29. 92 divides 33120 (33120 ÷ 92 = 360) → pair (92, 360)
  30. 96 divides 33120 (33120 ÷ 96 = 345) → pair (96, 345)
  31. 115 divides 33120 (33120 ÷ 115 = 288) → pair (115, 288)
  32. 120 divides 33120 (33120 ÷ 120 = 276) → pair (120, 276)
  33. 138 divides 33120 (33120 ÷ 138 = 240) → pair (138, 240)
  34. 144 divides 33120 (33120 ÷ 144 = 230) → pair (144, 230)
  35. 160 divides 33120 (33120 ÷ 160 = 207) → pair (160, 207)
  36. 180 divides 33120 (33120 ÷ 180 = 184) → pair (180, 184)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 30, 32, 36, 40, 45, 46, 48, 60, 69, 72, 80, 90, 92, 96, 115, 120, 138, 144, 160, 180, 184, 207, 230, 240, 276, 288, 345, 360, 368, 414, 460, 480, 552, 690, 720, 736, 828, 920, 1035, 1104, 1380, 1440, 1656, 1840, 2070, 2208, 2760, 3312, 3680, 4140, 5520, 6624, 8280, 11040, 16560, 33120} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 23 + 24 + 30 + 32 + 36 + 40 + 45 + 46 + 48 + 60 + 69 + 72 + 80 + 90 + 92 + 96 + 115 + 120 + 138 + 144 + 160 + 180 + 184 + 207 + 230 + 240 + 276 + 288 + 345 + 360 + 368 + 414 + 460 + 480 + 552 + 690 + 720 + 736 + 828 + 920 + 1035 + 1104 + 1380 + 1440 + 1656 + 1840 + 2070 + 2208 + 2760 + 3312 + 3680 + 4140 + 5520 + 6624 + 8280 + 11040 + 16560 + 33120 = 117936.

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Related Operations for 33120

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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