Divisors of 55200: All 72 Factors

Quick Answer

55200 has 72 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 25, 30, 32, 40, 46, 48, 50, 60, 69, 75, 80, 92, 96, 100, 115, 120, 138, 150, 160, 184, 200, 230, 240, 276, 300, 345, 368, 400, 460, 480, 552, 575, 600, 690, 736, 800, 920, 1104, 1150, 1200, 1380, 1725, 1840, 2208, 2300, 2400, 2760, 3450, 3680, 4600, 5520, 6900, 9200, 11040, 13800, 18400, 27600, 55200.

Sum: 187488.

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, 10, 12, 15, 16, 20, 23, 24, 25, 30, 32, 40, 46, 48, 50, 60, 69, 75, 80, 92, 96, 100, 115, 120, 138, 150, 160, 184, 200, 230, 240, 276, 300, 345, 368, 400, 460, 480, 552, 575, 600, 690, 736, 800, 920, 1104, 1150, 1200, 1380, 1725, 1840, 2208, 2300, 2400, 2760, 3450, 3680, 4600, 5520, 6900, 9200, 11040, 13800, 18400, 27600, 55200

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 55200

The number 55200 has 72 divisors:

1,  2,  3,  4,  5,  6,  8,  10,  12,  15,  16,  20,  23,  24,  25,  30,  32,  40,  46,  48,  50,  60,  69,  75,  80,  92,  96,  100,  115,  120,  138,  150,  160,  184,  200,  230,  240,  276,  300,  345,  368,  400,  460,  480,  552,  575,  600,  690,  736,  800,  920,  1104,  1150,  1200,  1380,  1725,  1840,  2208,  2300,  2400,  2760,  3450,  3680,  4600,  5520,  6900,  9200,  11040,  13800,  18400,  27600,  55200

Divisor Pairs of 55200

Each pair multiplies to 55200:

Factor 1×Factor 2=Product
1×55200=55200
2×27600=55200
3×18400=55200
4×13800=55200
5×11040=55200
6×9200=55200
8×6900=55200
10×5520=55200
12×4600=55200
15×3680=55200
16×3450=55200
20×2760=55200
23×2400=55200
24×2300=55200
25×2208=55200
30×1840=55200
32×1725=55200
40×1380=55200
46×1200=55200
48×1150=55200
50×1104=55200
60×920=55200
69×800=55200
75×736=55200
80×690=55200
92×600=55200
96×575=55200
100×552=55200
115×480=55200
120×460=55200
138×400=55200
150×368=55200
160×345=55200
184×300=55200
200×276=55200
230×240=55200

Number of Divisors

The number 55200 has 72 divisors, written as τ(55200) = 72 in number theory.

Sum of Divisors

σ(55200) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 23 + 24 + 25 + 30 + 32 + 40 + 46 + 48 + 50 + 60 + 69 + 75 + 80 + 92 + 96 + 100 + 115 + 120 + 138 + 150 + 160 + 184 + 200 + 230 + 240 + 276 + 300 + 345 + 368 + 400 + 460 + 480 + 552 + 575 + 600 + 690 + 736 + 800 + 920 + 1104 + 1150 + 1200 + 1380 + 1725 + 1840 + 2208 + 2300 + 2400 + 2760 + 3450 + 3680 + 4600 + 5520 + 6900 + 9200 + 11040 + 13800 + 18400 + 27600 + 55200 = 187488

Prime Factorization of 55200

See the full prime factorization calculator →

Properties of 55200

  • 55200 is composite.
  • 55200 is not a perfect square.
  • Number of divisors: 72.
  • Sum of divisors: 187488.

Common Divisors with Another Number?

Looking for the divisors that 55200 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 55200

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √55200 ≈ 234.95. If i divides 55200, then both i and 55200/i are divisors.

  1. 1 divides 55200 (55200 ÷ 1 = 55200) → pair (1, 55200)
  2. 2 divides 55200 (55200 ÷ 2 = 27600) → pair (2, 27600)
  3. 3 divides 55200 (55200 ÷ 3 = 18400) → pair (3, 18400)
  4. 4 divides 55200 (55200 ÷ 4 = 13800) → pair (4, 13800)
  5. 5 divides 55200 (55200 ÷ 5 = 11040) → pair (5, 11040)
  6. 6 divides 55200 (55200 ÷ 6 = 9200) → pair (6, 9200)
  7. 8 divides 55200 (55200 ÷ 8 = 6900) → pair (8, 6900)
  8. 10 divides 55200 (55200 ÷ 10 = 5520) → pair (10, 5520)
  9. 12 divides 55200 (55200 ÷ 12 = 4600) → pair (12, 4600)
  10. 15 divides 55200 (55200 ÷ 15 = 3680) → pair (15, 3680)
  11. 16 divides 55200 (55200 ÷ 16 = 3450) → pair (16, 3450)
  12. 20 divides 55200 (55200 ÷ 20 = 2760) → pair (20, 2760)
  13. 23 divides 55200 (55200 ÷ 23 = 2400) → pair (23, 2400)
  14. 24 divides 55200 (55200 ÷ 24 = 2300) → pair (24, 2300)
  15. 25 divides 55200 (55200 ÷ 25 = 2208) → pair (25, 2208)
  16. 30 divides 55200 (55200 ÷ 30 = 1840) → pair (30, 1840)
  17. 32 divides 55200 (55200 ÷ 32 = 1725) → pair (32, 1725)
  18. 40 divides 55200 (55200 ÷ 40 = 1380) → pair (40, 1380)
  19. 46 divides 55200 (55200 ÷ 46 = 1200) → pair (46, 1200)
  20. 48 divides 55200 (55200 ÷ 48 = 1150) → pair (48, 1150)
  21. 50 divides 55200 (55200 ÷ 50 = 1104) → pair (50, 1104)
  22. 60 divides 55200 (55200 ÷ 60 = 920) → pair (60, 920)
  23. 69 divides 55200 (55200 ÷ 69 = 800) → pair (69, 800)
  24. 75 divides 55200 (55200 ÷ 75 = 736) → pair (75, 736)
  25. 80 divides 55200 (55200 ÷ 80 = 690) → pair (80, 690)
  26. 92 divides 55200 (55200 ÷ 92 = 600) → pair (92, 600)
  27. 96 divides 55200 (55200 ÷ 96 = 575) → pair (96, 575)
  28. 100 divides 55200 (55200 ÷ 100 = 552) → pair (100, 552)
  29. 115 divides 55200 (55200 ÷ 115 = 480) → pair (115, 480)
  30. 120 divides 55200 (55200 ÷ 120 = 460) → pair (120, 460)
  31. 138 divides 55200 (55200 ÷ 138 = 400) → pair (138, 400)
  32. 150 divides 55200 (55200 ÷ 150 = 368) → pair (150, 368)
  33. 160 divides 55200 (55200 ÷ 160 = 345) → pair (160, 345)
  34. 184 divides 55200 (55200 ÷ 184 = 300) → pair (184, 300)
  35. 200 divides 55200 (55200 ÷ 200 = 276) → pair (200, 276)
  36. 230 divides 55200 (55200 ÷ 230 = 240) → pair (230, 240)
  37. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 25, 30, 32, 40, 46, 48, 50, 60, 69, 75, 80, 92, 96, 100, 115, 120, 138, 150, 160, 184, 200, 230, 240, 276, 300, 345, 368, 400, 460, 480, 552, 575, 600, 690, 736, 800, 920, 1104, 1150, 1200, 1380, 1725, 1840, 2208, 2300, 2400, 2760, 3450, 3680, 4600, 5520, 6900, 9200, 11040, 13800, 18400, 27600, 55200} — total 72 divisors.
  38. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 23 + 24 + 25 + 30 + 32 + 40 + 46 + 48 + 50 + 60 + 69 + 75 + 80 + 92 + 96 + 100 + 115 + 120 + 138 + 150 + 160 + 184 + 200 + 230 + 240 + 276 + 300 + 345 + 368 + 400 + 460 + 480 + 552 + 575 + 600 + 690 + 736 + 800 + 920 + 1104 + 1150 + 1200 + 1380 + 1725 + 1840 + 2208 + 2300 + 2400 + 2760 + 3450 + 3680 + 4600 + 5520 + 6900 + 9200 + 11040 + 13800 + 18400 + 27600 + 55200 = 187488.

Nearby Examples

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

Related Operations for 55200

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:

1,9664 div26012 div74812 div1,1858 div1,30216 div3584 div1,9708 div2,0236 div1009 div1,0308 div1,2074 div1,2698 div

Related Calculators