Factors of 2142
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142. It has 24 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 2142 is a whole number that divides it with nothing left over. You only need to test the numbers up to √2142 ≈ 46.28; 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 5616. Without 2142 itself that is 3474, so 2142 is an abundant number.
LaTeX source of the formulas on this page
\[ 2142 = 2 \times 3^{2} \times 7 \times 17 \]Factor pairs of 2142
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 2142 | 1 × 2142 = 2142 |
| 2 | 1071 | 2 × 1071 = 2142 |
| 3 | 714 | 3 × 714 = 2142 |
| 6 | 357 | 6 × 357 = 2142 |
| 7 | 306 | 7 × 306 = 2142 |
| 9 | 238 | 9 × 238 = 2142 |
| 14 | 153 | 14 × 153 = 2142 |
| 17 | 126 | 17 × 126 = 2142 |
| 18 | 119 | 18 × 119 = 2142 |
| 21 | 102 | 21 × 102 = 2142 |
| 34 | 63 | 34 × 63 = 2142 |
| 42 | 51 | 42 × 51 = 2142 |
Questions
What are the factors of 2142?
The factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142. It has 24 factors.
What are the prime factors of 2142?
2, 3, 7, 17. As a product: 2 × × 7 × 17.
How many factors does 2142 have?
2142 has 24 factors (12 factor pairs).
What is the sum of the factors of 2142?
5616.
Is 2142 a prime number?
No. It is divisible by 2, so 2142 = 2 × 1071.