Divisors of 7200: All 54 Factors

Quick Answer

7200 has 54 divisors (factors): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200.

Sum: 25389.

Divisors (Factors) Calculator

Divisors Multiples Prime Factoriz. GCF LCM

  Ex.: 12, 36, 100, 1024, 1728, etc.
54 divisors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200

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 7200

The number 7200 has 54 divisors:

1,  2,  3,  4,  5,  6,  8,  9,  10,  12,  15,  16,  18,  20,  24,  25,  30,  32,  36,  40,  45,  48,  50,  60,  72,  75,  80,  90,  96,  100,  120,  144,  150,  160,  180,  200,  225,  240,  288,  300,  360,  400,  450,  480,  600,  720,  800,  900,  1200,  1440,  1800,  2400,  3600,  7200

Divisor Pairs of 7200

Each pair multiplies to 7200:

Factor 1×Factor 2=Product
1×7200=7200
2×3600=7200
3×2400=7200
4×1800=7200
5×1440=7200
6×1200=7200
8×900=7200
9×800=7200
10×720=7200
12×600=7200
15×480=7200
16×450=7200
18×400=7200
20×360=7200
24×300=7200
25×288=7200
30×240=7200
32×225=7200
36×200=7200
40×180=7200
45×160=7200
48×150=7200
50×144=7200
60×120=7200
72×100=7200
75×96=7200
80×90=7200

Number of Divisors

The number 7200 has 54 divisors, written as τ(7200) = 54 in number theory.

Sum of Divisors

σ(7200) = 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 25 + 30 + 32 + 36 + 40 + 45 + 48 + 50 + 60 + 72 + 75 + 80 + 90 + 96 + 100 + 120 + 144 + 150 + 160 + 180 + 200 + 225 + 240 + 288 + 300 + 360 + 400 + 450 + 480 + 600 + 720 + 800 + 900 + 1200 + 1440 + 1800 + 2400 + 3600 + 7200 = 25389

Prime Factorization of 7200

See the full prime factorization calculator →

Properties of 7200

  • 7200 is composite.
  • 7200 is not a perfect square.
  • Number of divisors: 54.
  • Sum of divisors: 25389.

Common Divisors with Another Number?

Looking for the divisors that 7200 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 7200

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √7200 ≈ 84.85. If i divides 7200, then both i and 7200/i are divisors.

  1. 1 divides 7200 (7200 ÷ 1 = 7200) → pair (1, 7200)
  2. 2 divides 7200 (7200 ÷ 2 = 3600) → pair (2, 3600)
  3. 3 divides 7200 (7200 ÷ 3 = 2400) → pair (3, 2400)
  4. 4 divides 7200 (7200 ÷ 4 = 1800) → pair (4, 1800)
  5. 5 divides 7200 (7200 ÷ 5 = 1440) → pair (5, 1440)
  6. 6 divides 7200 (7200 ÷ 6 = 1200) → pair (6, 1200)
  7. 8 divides 7200 (7200 ÷ 8 = 900) → pair (8, 900)
  8. 9 divides 7200 (7200 ÷ 9 = 800) → pair (9, 800)
  9. 10 divides 7200 (7200 ÷ 10 = 720) → pair (10, 720)
  10. 12 divides 7200 (7200 ÷ 12 = 600) → pair (12, 600)
  11. 15 divides 7200 (7200 ÷ 15 = 480) → pair (15, 480)
  12. 16 divides 7200 (7200 ÷ 16 = 450) → pair (16, 450)
  13. 18 divides 7200 (7200 ÷ 18 = 400) → pair (18, 400)
  14. 20 divides 7200 (7200 ÷ 20 = 360) → pair (20, 360)
  15. 24 divides 7200 (7200 ÷ 24 = 300) → pair (24, 300)
  16. 25 divides 7200 (7200 ÷ 25 = 288) → pair (25, 288)
  17. 30 divides 7200 (7200 ÷ 30 = 240) → pair (30, 240)
  18. 32 divides 7200 (7200 ÷ 32 = 225) → pair (32, 225)
  19. 36 divides 7200 (7200 ÷ 36 = 200) → pair (36, 200)
  20. 40 divides 7200 (7200 ÷ 40 = 180) → pair (40, 180)
  21. 45 divides 7200 (7200 ÷ 45 = 160) → pair (45, 160)
  22. 48 divides 7200 (7200 ÷ 48 = 150) → pair (48, 150)
  23. 50 divides 7200 (7200 ÷ 50 = 144) → pair (50, 144)
  24. 60 divides 7200 (7200 ÷ 60 = 120) → pair (60, 120)
  25. 72 divides 7200 (7200 ÷ 72 = 100) → pair (72, 100)
  26. 75 divides 7200 (7200 ÷ 75 = 96) → pair (75, 96)
  27. 80 divides 7200 (7200 ÷ 80 = 90) → pair (80, 90)
  28. Collect all unique values: {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200} — total 54 divisors.
  29. Sum: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 25 + 30 + 32 + 36 + 40 + 45 + 48 + 50 + 60 + 72 + 75 + 80 + 90 + 96 + 100 + 120 + 144 + 150 + 160 + 180 + 200 + 225 + 240 + 288 + 300 + 360 + 400 + 450 + 480 + 600 + 720 + 800 + 900 + 1200 + 1440 + 1800 + 2400 + 3600 + 7200 = 25389.

Nearby Examples

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

Related Operations for 7200

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