Factors of 252
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 252 is a whole number that divides it with nothing left over. You only need to test the numbers up to √252 ≈ 15.87; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 18 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 728. Without 252 itself that is 476, so 252 is an abundant number.
LaTeX source of the formulas on this page
\[ 252 = 2^{2} \times 3^{2} \times 7 \]Factor pairs of 252
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 252 | 1 × 252 = 252 |
| 2 | 126 | 2 × 126 = 252 |
| 3 | 84 | 3 × 84 = 252 |
| 4 | 63 | 4 × 63 = 252 |
| 6 | 42 | 6 × 42 = 252 |
| 7 | 36 | 7 × 36 = 252 |
| 9 | 28 | 9 × 28 = 252 |
| 12 | 21 | 12 × 21 = 252 |
| 14 | 18 | 14 × 18 = 252 |
Questions
What are the factors of 252?
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. It has 18 factors.
What are the prime factors of 252?
2, 3, 7. As a product: × × 7.
How many factors does 252 have?
252 has 18 factors (9 factor pairs).
What is the sum of the factors of 252?
728.
Is 252 a prime number?
No. It is divisible by 2, so 252 = 2 × 126.