Divisors of 33600: All 84 Factors

Quick Answer

33600 has 84 divisors (factors): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 32, 35, 40, 42, 48, 50, 56, 60, 64, 70, 75, 80, 84, 96, 100, 105, 112, 120, 140, 150, 160, 168, 175, 192, 200, 210, 224, 240, 280, 300, 320, 336, 350, 400, 420, 448, 480, 525, 560, 600, 672, 700, 800, 840, 960, 1050, 1120, 1200, 1344, 1400, 1600, 1680, 2100, 2240, 2400, 2800, 3360, 4200, 4800, 5600, 6720, 8400, 11200, 16800, 33600.

Sum: 125984.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
84 divisors
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 32, 35, 40, 42, 48, 50, 56, 60, 64, 70, 75, 80, 84, 96, 100, 105, 112, 120, 140, 150, 160, 168, 175, 192, 200, 210, 224, 240, 280, 300, 320, 336, 350, 400, 420, 448, 480, 525, 560, 600, 672, 700, 800, 840, 960, 1050, 1120, 1200, 1344, 1400, 1600, 1680, 2100, 2240, 2400, 2800, 3360, 4200, 4800, 5600, 6720, 8400, 11200, 16800, 33600

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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 33600

The number 33600 has 84 divisors:

1,  2,  3,  4,  5,  6,  7,  8,  10,  12,  14,  15,  16,  20,  21,  24,  25,  28,  30,  32,  35,  40,  42,  48,  50,  56,  60,  64,  70,  75,  80,  84,  96,  100,  105,  112,  120,  140,  150,  160,  168,  175,  192,  200,  210,  224,  240,  280,  300,  320,  336,  350,  400,  420,  448,  480,  525,  560,  600,  672,  700,  800,  840,  960,  1050,  1120,  1200,  1344,  1400,  1600,  1680,  2100,  2240,  2400,  2800,  3360,  4200,  4800,  5600,  6720,  8400,  11200,  16800,  33600

Divisor Pairs of 33600

Each pair multiplies to 33600:

Factor 1×Factor 2=Product
1×33600=33600
2×16800=33600
3×11200=33600
4×8400=33600
5×6720=33600
6×5600=33600
7×4800=33600
8×4200=33600
10×3360=33600
12×2800=33600
14×2400=33600
15×2240=33600
16×2100=33600
20×1680=33600
21×1600=33600
24×1400=33600
25×1344=33600
28×1200=33600
30×1120=33600
32×1050=33600
35×960=33600
40×840=33600
42×800=33600
48×700=33600
50×672=33600
56×600=33600
60×560=33600
64×525=33600
70×480=33600
75×448=33600
80×420=33600
84×400=33600
96×350=33600
100×336=33600
105×320=33600
112×300=33600
120×280=33600
140×240=33600
150×224=33600
160×210=33600
168×200=33600
175×192=33600

Number of Divisors

The number 33600 has 84 divisors, written as τ(33600) = 84 in number theory.

Sum of Divisors

σ(33600) = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 25 + 28 + 30 + 32 + 35 + 40 + 42 + 48 + 50 + 56 + 60 + 64 + 70 + 75 + 80 + 84 + 96 + 100 + 105 + 112 + 120 + 140 + 150 + 160 + 168 + 175 + 192 + 200 + 210 + 224 + 240 + 280 + 300 + 320 + 336 + 350 + 400 + 420 + 448 + 480 + 525 + 560 + 600 + 672 + 700 + 800 + 840 + 960 + 1050 + 1120 + 1200 + 1344 + 1400 + 1600 + 1680 + 2100 + 2240 + 2400 + 2800 + 3360 + 4200 + 4800 + 5600 + 6720 + 8400 + 11200 + 16800 + 33600 = 125984

Prime Factorization of 33600

See the full prime factorization calculator →

Properties of 33600

  • 33600 is composite.
  • 33600 is not a perfect square.
  • Number of divisors: 84.
  • Sum of divisors: 125984.

Common Divisors with Another Number?

Looking for the divisors that 33600 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 33600

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √33600 ≈ 183.30. If i divides 33600, then both i and 33600/i are divisors.

  1. 1 divides 33600 (33600 ÷ 1 = 33600) → pair (1, 33600)
  2. 2 divides 33600 (33600 ÷ 2 = 16800) → pair (2, 16800)
  3. 3 divides 33600 (33600 ÷ 3 = 11200) → pair (3, 11200)
  4. 4 divides 33600 (33600 ÷ 4 = 8400) → pair (4, 8400)
  5. 5 divides 33600 (33600 ÷ 5 = 6720) → pair (5, 6720)
  6. 6 divides 33600 (33600 ÷ 6 = 5600) → pair (6, 5600)
  7. 7 divides 33600 (33600 ÷ 7 = 4800) → pair (7, 4800)
  8. 8 divides 33600 (33600 ÷ 8 = 4200) → pair (8, 4200)
  9. 10 divides 33600 (33600 ÷ 10 = 3360) → pair (10, 3360)
  10. 12 divides 33600 (33600 ÷ 12 = 2800) → pair (12, 2800)
  11. 14 divides 33600 (33600 ÷ 14 = 2400) → pair (14, 2400)
  12. 15 divides 33600 (33600 ÷ 15 = 2240) → pair (15, 2240)
  13. 16 divides 33600 (33600 ÷ 16 = 2100) → pair (16, 2100)
  14. 20 divides 33600 (33600 ÷ 20 = 1680) → pair (20, 1680)
  15. 21 divides 33600 (33600 ÷ 21 = 1600) → pair (21, 1600)
  16. 24 divides 33600 (33600 ÷ 24 = 1400) → pair (24, 1400)
  17. 25 divides 33600 (33600 ÷ 25 = 1344) → pair (25, 1344)
  18. 28 divides 33600 (33600 ÷ 28 = 1200) → pair (28, 1200)
  19. 30 divides 33600 (33600 ÷ 30 = 1120) → pair (30, 1120)
  20. 32 divides 33600 (33600 ÷ 32 = 1050) → pair (32, 1050)
  21. 35 divides 33600 (33600 ÷ 35 = 960) → pair (35, 960)
  22. 40 divides 33600 (33600 ÷ 40 = 840) → pair (40, 840)
  23. 42 divides 33600 (33600 ÷ 42 = 800) → pair (42, 800)
  24. 48 divides 33600 (33600 ÷ 48 = 700) → pair (48, 700)
  25. 50 divides 33600 (33600 ÷ 50 = 672) → pair (50, 672)
  26. 56 divides 33600 (33600 ÷ 56 = 600) → pair (56, 600)
  27. 60 divides 33600 (33600 ÷ 60 = 560) → pair (60, 560)
  28. 64 divides 33600 (33600 ÷ 64 = 525) → pair (64, 525)
  29. 70 divides 33600 (33600 ÷ 70 = 480) → pair (70, 480)
  30. 75 divides 33600 (33600 ÷ 75 = 448) → pair (75, 448)
  31. 80 divides 33600 (33600 ÷ 80 = 420) → pair (80, 420)
  32. 84 divides 33600 (33600 ÷ 84 = 400) → pair (84, 400)
  33. 96 divides 33600 (33600 ÷ 96 = 350) → pair (96, 350)
  34. 100 divides 33600 (33600 ÷ 100 = 336) → pair (100, 336)
  35. 105 divides 33600 (33600 ÷ 105 = 320) → pair (105, 320)
  36. 112 divides 33600 (33600 ÷ 112 = 300) → pair (112, 300)
  37. 120 divides 33600 (33600 ÷ 120 = 280) → pair (120, 280)
  38. 140 divides 33600 (33600 ÷ 140 = 240) → pair (140, 240)
  39. 150 divides 33600 (33600 ÷ 150 = 224) → pair (150, 224)
  40. 160 divides 33600 (33600 ÷ 160 = 210) → pair (160, 210)
  41. 168 divides 33600 (33600 ÷ 168 = 200) → pair (168, 200)
  42. 175 divides 33600 (33600 ÷ 175 = 192) → pair (175, 192)
  43. Collect all unique values: {1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 32, 35, 40, 42, 48, 50, 56, 60, 64, 70, 75, 80, 84, 96, 100, 105, 112, 120, 140, 150, 160, 168, 175, 192, 200, 210, 224, 240, 280, 300, 320, 336, 350, 400, 420, 448, 480, 525, 560, 600, 672, 700, 800, 840, 960, 1050, 1120, 1200, 1344, 1400, 1600, 1680, 2100, 2240, 2400, 2800, 3360, 4200, 4800, 5600, 6720, 8400, 11200, 16800, 33600} — total 84 divisors.
  44. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 25 + 28 + 30 + 32 + 35 + 40 + 42 + 48 + 50 + 56 + 60 + 64 + 70 + 75 + 80 + 84 + 96 + 100 + 105 + 112 + 120 + 140 + 150 + 160 + 168 + 175 + 192 + 200 + 210 + 224 + 240 + 280 + 300 + 320 + 336 + 350 + 400 + 420 + 448 + 480 + 525 + 560 + 600 + 672 + 700 + 800 + 840 + 960 + 1050 + 1120 + 1200 + 1344 + 1400 + 1600 + 1680 + 2100 + 2240 + 2400 + 2800 + 3360 + 4200 + 4800 + 5600 + 6720 + 8400 + 11200 + 16800 + 33600 = 125984.

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Related Operations for 33600

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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