Factors of 3942
The factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942. It has 16 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 3942 is a whole number that divides it with nothing left over. You only need to test the numbers up to √3942 ≈ 62.79; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 16 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 8880. Without 3942 itself that is 4938, so 3942 is an abundant number.
LaTeX source of the formulas on this page
\[ 3942 = 2 \times 3^{3} \times 73 \]Factor pairs of 3942
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 3942 | 1 × 3942 = 3942 |
| 2 | 1971 | 2 × 1971 = 3942 |
| 3 | 1314 | 3 × 1314 = 3942 |
| 6 | 657 | 6 × 657 = 3942 |
| 9 | 438 | 9 × 438 = 3942 |
| 18 | 219 | 18 × 219 = 3942 |
| 27 | 146 | 27 × 146 = 3942 |
| 54 | 73 | 54 × 73 = 3942 |
Questions
What are the factors of 3942?
The factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942. It has 16 factors.
What are the prime factors of 3942?
2, 3, 73. As a product: 2 × × 73.
How many factors does 3942 have?
3942 has 16 factors (8 factor pairs).
What is the sum of the factors of 3942?
8880.
Is 3942 a prime number?
No. It is divisible by 2, so 3942 = 2 × 1971.