Is 508 a prime number?
No, 508 is not a prime number. It is divisible by 2: 508 = 2 × 254.
Is 508 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 √508 ≈ 22.54. If none of them divides 508, it is prime.
- 3
2 divides 508 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 508 = 2^{2} \times 127 \]Testing 508 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 508 ÷ 2 | divides exactly (254) |
| 3 | 508 ÷ 3 | leaves 1 |
| 5 | 508 ÷ 5 | leaves 3 |
| 7 | 508 ÷ 7 | leaves 4 |
| 11 | 508 ÷ 11 | leaves 2 |
| 13 | 508 ÷ 13 | leaves 1 |
| 17 | 508 ÷ 17 | leaves 15 |
| 19 | 508 ÷ 19 | leaves 14 |
Questions
Is 508 a prime number?
No, 508 is not a prime number. It is divisible by 2: 508 = 2 × 254.
What is the next prime after 508?
509.
What is the prime number before 508?
503.
What are the factors of 508?
1, 2, 4, 127, 254, 508.