Is 343 a prime number?
No, 343 is not a prime number. It is divisible by 7: 343 = 7 × 49.
Is 343 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 √343 ≈ 18.52. If none of them divides 343, it is prime.
- 3
7 divides 343 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 343 = 7^{3} \]Testing 343 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 343 ÷ 2 | leaves 1 |
| 3 | 343 ÷ 3 | leaves 1 |
| 5 | 343 ÷ 5 | leaves 3 |
| 7 | 343 ÷ 7 | divides exactly (49) |
| 11 | 343 ÷ 11 | leaves 2 |
| 13 | 343 ÷ 13 | leaves 5 |
| 17 | 343 ÷ 17 | leaves 3 |
Questions
Is 343 a prime number?
No, 343 is not a prime number. It is divisible by 7: 343 = 7 × 49.
What is the next prime after 343?
347.
What is the prime number before 343?
337.
What are the factors of 343?
1, 7, 49, 343.