Is 341 a prime number?
No, 341 is not a prime number. It is divisible by 11: 341 = 11 × 31.
Is 341 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 √341 ≈ 18.47. If none of them divides 341, it is prime.
- 3
11 divides 341 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 341 = 11 \times 31 \]
Testing 341 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 341 ÷ 2 | leaves 1 |
| 3 | 341 ÷ 3 | leaves 2 |
| 5 | 341 ÷ 5 | leaves 1 |
| 7 | 341 ÷ 7 | leaves 5 |
| 11 | 341 ÷ 11 | divides exactly (31) |
| 13 | 341 ÷ 13 | leaves 3 |
| 17 | 341 ÷ 17 | leaves 1 |
Questions
Is 341 a prime number?
No, 341 is not a prime number. It is divisible by 11: 341 = 11 × 31.
What is the next prime after 341?
347.
What is the prime number before 341?
337.
What are the factors of 341?
1, 11, 31, 341.