Factors of 7200
The factors of 7200 are 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. It has 54 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7200 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7200 ≈ 84.85; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 54 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 25389. Without 7200 itself that is 18189, so 7200 is an abundant number.
LaTeX source of the formulas on this page
\[ 7200 = 2^{5} \times 3^{2} \times 5^{2} \]Factor pairs of 7200
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7200 | 1 × 7200 = 7200 |
| 2 | 3600 | 2 × 3600 = 7200 |
| 3 | 2400 | 3 × 2400 = 7200 |
| 4 | 1800 | 4 × 1800 = 7200 |
| 5 | 1440 | 5 × 1440 = 7200 |
| 6 | 1200 | 6 × 1200 = 7200 |
| 8 | 900 | 8 × 900 = 7200 |
| 9 | 800 | 9 × 800 = 7200 |
| 10 | 720 | 10 × 720 = 7200 |
| 12 | 600 | 12 × 600 = 7200 |
| 15 | 480 | 15 × 480 = 7200 |
| 16 | 450 | 16 × 450 = 7200 |
| 18 | 400 | 18 × 400 = 7200 |
| 20 | 360 | 20 × 360 = 7200 |
| 24 | 300 | 24 × 300 = 7200 |
| 25 | 288 | 25 × 288 = 7200 |
| 30 | 240 | 30 × 240 = 7200 |
| 32 | 225 | 32 × 225 = 7200 |
| 36 | 200 | 36 × 200 = 7200 |
| 40 | 180 | 40 × 180 = 7200 |
| 45 | 160 | 45 × 160 = 7200 |
| 48 | 150 | 48 × 150 = 7200 |
| 50 | 144 | 50 × 144 = 7200 |
| 60 | 120 | 60 × 120 = 7200 |
| 72 | 100 | 72 × 100 = 7200 |
| 75 | 96 | 75 × 96 = 7200 |
| 80 | 90 | 80 × 90 = 7200 |
Questions
What are the factors of 7200?
The factors of 7200 are 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. It has 54 factors.
What are the prime factors of 7200?
2, 3, 5. As a product: × × .
How many factors does 7200 have?
7200 has 54 factors (27 factor pairs).
What is the sum of the factors of 7200?
25389.
Is 7200 a prime number?
No. It is divisible by 2, so 7200 = 2 × 3600.