Factors of 1512
The factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512. It has 32 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1512 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1512 ≈ 38.88; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 32 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 4800. Without 1512 itself that is 3288, so 1512 is an abundant number.
LaTeX source of the formulas on this page
\[ 1512 = 2^{3} \times 3^{3} \times 7 \]Factor pairs of 1512
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1512 | 1 × 1512 = 1512 |
| 2 | 756 | 2 × 756 = 1512 |
| 3 | 504 | 3 × 504 = 1512 |
| 4 | 378 | 4 × 378 = 1512 |
| 6 | 252 | 6 × 252 = 1512 |
| 7 | 216 | 7 × 216 = 1512 |
| 8 | 189 | 8 × 189 = 1512 |
| 9 | 168 | 9 × 168 = 1512 |
| 12 | 126 | 12 × 126 = 1512 |
| 14 | 108 | 14 × 108 = 1512 |
| 18 | 84 | 18 × 84 = 1512 |
| 21 | 72 | 21 × 72 = 1512 |
| 24 | 63 | 24 × 63 = 1512 |
| 27 | 56 | 27 × 56 = 1512 |
| 28 | 54 | 28 × 54 = 1512 |
| 36 | 42 | 36 × 42 = 1512 |
Questions
What are the factors of 1512?
The factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512. It has 32 factors.
What are the prime factors of 1512?
2, 3, 7. As a product: × × 7.
How many factors does 1512 have?
1512 has 32 factors (16 factor pairs).
What is the sum of the factors of 1512?
4800.
Is 1512 a prime number?
No. It is divisible by 2, so 1512 = 2 × 756.