Is 3942 a prime number?
No, 3942 is not a prime number. It is divisible by 2: 3942 = 2 × 1971.
Is 3942 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √3942 ≈ 62.79. If none of them divides 3942, it is prime.
- 3
2 divides 3942 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3942 = 2 \times 3^{3} \times 73 \]Testing 3942 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3942 ÷ 2 | divides exactly (1971) |
| 3 | 3942 ÷ 3 | divides exactly (1314) |
| 5 | 3942 ÷ 5 | leaves 2 |
| 7 | 3942 ÷ 7 | leaves 1 |
| 11 | 3942 ÷ 11 | leaves 4 |
| 13 | 3942 ÷ 13 | leaves 3 |
| 17 | 3942 ÷ 17 | leaves 15 |
| 19 | 3942 ÷ 19 | leaves 9 |
| 23 | 3942 ÷ 23 | leaves 9 |
| 29 | 3942 ÷ 29 | leaves 27 |
| 31 | 3942 ÷ 31 | leaves 5 |
| 37 | 3942 ÷ 37 | leaves 20 |
Questions
Is 3942 a prime number?
No, 3942 is not a prime number. It is divisible by 2: 3942 = 2 × 1971.
What is the next prime after 3942?
3943.
What is the prime number before 3942?
3931.
What are the factors of 3942?
1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942.