Factors of 1632
The factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 1632 is a whole number that divides it with nothing left over. You only need to test the numbers up to √1632 ≈ 40.40; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 24 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 4536. Without 1632 itself that is 2904, so 1632 is an abundant number.
LaTeX source of the formulas on this page
\[ 1632 = 2^{5} \times 3 \times 17 \]Factor pairs of 1632
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 1632 | 1 × 1632 = 1632 |
| 2 | 816 | 2 × 816 = 1632 |
| 3 | 544 | 3 × 544 = 1632 |
| 4 | 408 | 4 × 408 = 1632 |
| 6 | 272 | 6 × 272 = 1632 |
| 8 | 204 | 8 × 204 = 1632 |
| 12 | 136 | 12 × 136 = 1632 |
| 16 | 102 | 16 × 102 = 1632 |
| 17 | 96 | 17 × 96 = 1632 |
| 24 | 68 | 24 × 68 = 1632 |
| 32 | 51 | 32 × 51 = 1632 |
| 34 | 48 | 34 × 48 = 1632 |
Questions
What are the factors of 1632?
The factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632. It has 24 factors.
What are the prime factors of 1632?
2, 3, 17. As a product: × 3 × 17.
How many factors does 1632 have?
1632 has 24 factors (12 factor pairs).
What is the sum of the factors of 1632?
4536.
Is 1632 a prime number?
No. It is divisible by 2, so 1632 = 2 × 816.