Is 338 a prime number?
No, 338 is not a prime number. It is divisible by 2: 338 = 2 × 169.
Is 338 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 √338 ≈ 18.38. If none of them divides 338, it is prime.
- 3
2 divides 338 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 338 = 2 \times 13^{2} \]Testing 338 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 338 ÷ 2 | divides exactly (169) |
| 3 | 338 ÷ 3 | leaves 2 |
| 5 | 338 ÷ 5 | leaves 3 |
| 7 | 338 ÷ 7 | leaves 2 |
| 11 | 338 ÷ 11 | leaves 8 |
| 13 | 338 ÷ 13 | divides exactly (26) |
| 17 | 338 ÷ 17 | leaves 15 |
Questions
Is 338 a prime number?
No, 338 is not a prime number. It is divisible by 2: 338 = 2 × 169.
What is the next prime after 338?
347.
What is the prime number before 338?
337.
What are the factors of 338?
1, 2, 13, 26, 169, 338.