Factors of 3132
The factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3132 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3132 ≈ 55.96; 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 8400. Without 3132 itself that is 5268, so 3132 is an abundant number.
LaTeX source of the formulas on this page
\[ 3132 = 2^{2} \times 3^{3} \times 29 \]Factor pairs of 3132
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3132 | 1 × 3132 = 3132 |
| 2 | 1566 | 2 × 1566 = 3132 |
| 3 | 1044 | 3 × 1044 = 3132 |
| 4 | 783 | 4 × 783 = 3132 |
| 6 | 522 | 6 × 522 = 3132 |
| 9 | 348 | 9 × 348 = 3132 |
| 12 | 261 | 12 × 261 = 3132 |
| 18 | 174 | 18 × 174 = 3132 |
| 27 | 116 | 27 × 116 = 3132 |
| 29 | 108 | 29 × 108 = 3132 |
| 36 | 87 | 36 × 87 = 3132 |
| 54 | 58 | 54 × 58 = 3132 |
Questions
What are the factors of 3132?
The factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132. It has 24 factors.
What are the prime factors of 3132?
2, 3, 29. As a product: × × 29.
How many factors does 3132 have?
3132 has 24 factors (12 factor pairs).
What is the sum of the factors of 3132?
8400.
Is 3132 a prime number?
No. It is divisible by 2, so 3132 = 2 × 1566.