Divisors of 16800: All 72 Factors

Quick Answer

16800 has 72 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, 70, 75, 80, 84, 96, 100, 105, 112, 120, 140, 150, 160, 168, 175, 200, 210, 224, 240, 280, 300, 336, 350, 400, 420, 480, 525, 560, 600, 672, 700, 800, 840, 1050, 1120, 1200, 1400, 1680, 2100, 2400, 2800, 3360, 4200, 5600, 8400, 16800.

Sum: 62496.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
72 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, 70, 75, 80, 84, 96, 100, 105, 112, 120, 140, 150, 160, 168, 175, 200, 210, 224, 240, 280, 300, 336, 350, 400, 420, 480, 525, 560, 600, 672, 700, 800, 840, 1050, 1120, 1200, 1400, 1680, 2100, 2400, 2800, 3360, 4200, 5600, 8400, 16800

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 16800

The number 16800 has 72 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,  70,  75,  80,  84,  96,  100,  105,  112,  120,  140,  150,  160,  168,  175,  200,  210,  224,  240,  280,  300,  336,  350,  400,  420,  480,  525,  560,  600,  672,  700,  800,  840,  1050,  1120,  1200,  1400,  1680,  2100,  2400,  2800,  3360,  4200,  5600,  8400,  16800

Divisor Pairs of 16800

Each pair multiplies to 16800:

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

Number of Divisors

The number 16800 has 72 divisors, written as τ(16800) = 72 in number theory.

Sum of Divisors

σ(16800) = 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 + 70 + 75 + 80 + 84 + 96 + 100 + 105 + 112 + 120 + 140 + 150 + 160 + 168 + 175 + 200 + 210 + 224 + 240 + 280 + 300 + 336 + 350 + 400 + 420 + 480 + 525 + 560 + 600 + 672 + 700 + 800 + 840 + 1050 + 1120 + 1200 + 1400 + 1680 + 2100 + 2400 + 2800 + 3360 + 4200 + 5600 + 8400 + 16800 = 62496

Prime Factorization of 16800

See the full prime factorization calculator →

Properties of 16800

  • 16800 is composite.
  • 16800 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 62496.

Common Divisors with Another Number?

Looking for the divisors that 16800 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 16800

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √16800 ≈ 129.61. If i divides 16800, then both i and 16800/i are divisors.

  1. 1 divides 16800 (16800 ÷ 1 = 16800) → pair (1, 16800)
  2. 2 divides 16800 (16800 ÷ 2 = 8400) → pair (2, 8400)
  3. 3 divides 16800 (16800 ÷ 3 = 5600) → pair (3, 5600)
  4. 4 divides 16800 (16800 ÷ 4 = 4200) → pair (4, 4200)
  5. 5 divides 16800 (16800 ÷ 5 = 3360) → pair (5, 3360)
  6. 6 divides 16800 (16800 ÷ 6 = 2800) → pair (6, 2800)
  7. 7 divides 16800 (16800 ÷ 7 = 2400) → pair (7, 2400)
  8. 8 divides 16800 (16800 ÷ 8 = 2100) → pair (8, 2100)
  9. 10 divides 16800 (16800 ÷ 10 = 1680) → pair (10, 1680)
  10. 12 divides 16800 (16800 ÷ 12 = 1400) → pair (12, 1400)
  11. 14 divides 16800 (16800 ÷ 14 = 1200) → pair (14, 1200)
  12. 15 divides 16800 (16800 ÷ 15 = 1120) → pair (15, 1120)
  13. 16 divides 16800 (16800 ÷ 16 = 1050) → pair (16, 1050)
  14. 20 divides 16800 (16800 ÷ 20 = 840) → pair (20, 840)
  15. 21 divides 16800 (16800 ÷ 21 = 800) → pair (21, 800)
  16. 24 divides 16800 (16800 ÷ 24 = 700) → pair (24, 700)
  17. 25 divides 16800 (16800 ÷ 25 = 672) → pair (25, 672)
  18. 28 divides 16800 (16800 ÷ 28 = 600) → pair (28, 600)
  19. 30 divides 16800 (16800 ÷ 30 = 560) → pair (30, 560)
  20. 32 divides 16800 (16800 ÷ 32 = 525) → pair (32, 525)
  21. 35 divides 16800 (16800 ÷ 35 = 480) → pair (35, 480)
  22. 40 divides 16800 (16800 ÷ 40 = 420) → pair (40, 420)
  23. 42 divides 16800 (16800 ÷ 42 = 400) → pair (42, 400)
  24. 48 divides 16800 (16800 ÷ 48 = 350) → pair (48, 350)
  25. 50 divides 16800 (16800 ÷ 50 = 336) → pair (50, 336)
  26. 56 divides 16800 (16800 ÷ 56 = 300) → pair (56, 300)
  27. 60 divides 16800 (16800 ÷ 60 = 280) → pair (60, 280)
  28. 70 divides 16800 (16800 ÷ 70 = 240) → pair (70, 240)
  29. 75 divides 16800 (16800 ÷ 75 = 224) → pair (75, 224)
  30. 80 divides 16800 (16800 ÷ 80 = 210) → pair (80, 210)
  31. 84 divides 16800 (16800 ÷ 84 = 200) → pair (84, 200)
  32. 96 divides 16800 (16800 ÷ 96 = 175) → pair (96, 175)
  33. 100 divides 16800 (16800 ÷ 100 = 168) → pair (100, 168)
  34. 105 divides 16800 (16800 ÷ 105 = 160) → pair (105, 160)
  35. 112 divides 16800 (16800 ÷ 112 = 150) → pair (112, 150)
  36. 120 divides 16800 (16800 ÷ 120 = 140) → pair (120, 140)
  37. 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, 70, 75, 80, 84, 96, 100, 105, 112, 120, 140, 150, 160, 168, 175, 200, 210, 224, 240, 280, 300, 336, 350, 400, 420, 480, 525, 560, 600, 672, 700, 800, 840, 1050, 1120, 1200, 1400, 1680, 2100, 2400, 2800, 3360, 4200, 5600, 8400, 16800} — total 72 divisors.
  38. 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 + 70 + 75 + 80 + 84 + 96 + 100 + 105 + 112 + 120 + 140 + 150 + 160 + 168 + 175 + 200 + 210 + 224 + 240 + 280 + 300 + 336 + 350 + 400 + 420 + 480 + 525 + 560 + 600 + 672 + 700 + 800 + 840 + 1050 + 1120 + 1200 + 1400 + 1680 + 2100 + 2400 + 2800 + 3360 + 4200 + 5600 + 8400 + 16800 = 62496.

Nearby Examples

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

Related Operations for 16800

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:

1,1858 div1,30216 div3584 div1,9708 div2,0236 div1009 div1,0308 div1,2074 div1,2698 div1,4532 div1,75216 div1,86212 div

Related Calculators