Factors of 7152
The factors of 7152 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152. It has 20 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 7152 is a whole number that divides it with nothing left over. You only need to test the numbers up to √7152 ≈ 84.57; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 20 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 18600. Without 7152 itself that is 11448, so 7152 is an abundant number.
LaTeX source of the formulas on this page
\[ 7152 = 2^{4} \times 3 \times 149 \]Factor pairs of 7152
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 7152 | 1 × 7152 = 7152 |
| 2 | 3576 | 2 × 3576 = 7152 |
| 3 | 2384 | 3 × 2384 = 7152 |
| 4 | 1788 | 4 × 1788 = 7152 |
| 6 | 1192 | 6 × 1192 = 7152 |
| 8 | 894 | 8 × 894 = 7152 |
| 12 | 596 | 12 × 596 = 7152 |
| 16 | 447 | 16 × 447 = 7152 |
| 24 | 298 | 24 × 298 = 7152 |
| 48 | 149 | 48 × 149 = 7152 |
Questions
What are the factors of 7152?
The factors of 7152 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152. It has 20 factors.
What are the prime factors of 7152?
2, 3, 149. As a product: × 3 × 149.
How many factors does 7152 have?
7152 has 20 factors (10 factor pairs).
What is the sum of the factors of 7152?
18600.
Is 7152 a prime number?
No. It is divisible by 2, so 7152 = 2 × 3576.