Is 342 a prime number?
No, 342 is not a prime number. It is divisible by 2: 342 = 2 × 171.
Is 342 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 √342 ≈ 18.49. If none of them divides 342, it is prime.
- 3
2 divides 342 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 342 = 2 \times 3^{2} \times 19 \]Testing 342 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 342 ÷ 2 | divides exactly (171) |
| 3 | 342 ÷ 3 | divides exactly (114) |
| 5 | 342 ÷ 5 | leaves 2 |
| 7 | 342 ÷ 7 | leaves 6 |
| 11 | 342 ÷ 11 | leaves 1 |
| 13 | 342 ÷ 13 | leaves 4 |
| 17 | 342 ÷ 17 | leaves 2 |
Questions
Is 342 a prime number?
No, 342 is not a prime number. It is divisible by 2: 342 = 2 × 171.
What is the next prime after 342?
347.
What is the prime number before 342?
337.
What are the factors of 342?
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342.