Is 1508 a prime number?
No, 1508 is not a prime number. It is divisible by 2: 1508 = 2 × 754.
Is 1508 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 √1508 ≈ 38.83. If none of them divides 1508, it is prime.
- 3
2 divides 1508 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1508 = 2^{2} \times 13 \times 29 \]Testing 1508 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1508 ÷ 2 | divides exactly (754) |
| 3 | 1508 ÷ 3 | leaves 2 |
| 5 | 1508 ÷ 5 | leaves 3 |
| 7 | 1508 ÷ 7 | leaves 3 |
| 11 | 1508 ÷ 11 | leaves 1 |
| 13 | 1508 ÷ 13 | divides exactly (116) |
| 17 | 1508 ÷ 17 | leaves 12 |
| 19 | 1508 ÷ 19 | leaves 7 |
| 23 | 1508 ÷ 23 | leaves 13 |
| 29 | 1508 ÷ 29 | divides exactly (52) |
| 31 | 1508 ÷ 31 | leaves 20 |
| 37 | 1508 ÷ 37 | leaves 28 |
Questions
Is 1508 a prime number?
No, 1508 is not a prime number. It is divisible by 2: 1508 = 2 × 754.
What is the next prime after 1508?
1511.
What is the prime number before 1508?
1499.
What are the factors of 1508?
1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508.