Is 238 a prime number?
No, 238 is not a prime number. It is divisible by 2: 238 = 2 × 119.
Is 238 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 √238 ≈ 15.43. If none of them divides 238, it is prime.
- 3
2 divides 238 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 238 = 2 \times 7 \times 17 \]
Testing 238 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 238 ÷ 2 | divides exactly (119) |
| 3 | 238 ÷ 3 | leaves 1 |
| 5 | 238 ÷ 5 | leaves 3 |
| 7 | 238 ÷ 7 | divides exactly (34) |
| 11 | 238 ÷ 11 | leaves 7 |
| 13 | 238 ÷ 13 | leaves 4 |
Questions
Is 238 a prime number?
No, 238 is not a prime number. It is divisible by 2: 238 = 2 × 119.
What is the next prime after 238?
239.
What is the prime number before 238?
233.
What are the factors of 238?
1, 2, 7, 14, 17, 34, 119, 238.