Is 5008 a prime number?
No, 5008 is not a prime number. It is divisible by 2: 5008 = 2 × 2504.
Is 5008 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 √5008 ≈ 70.77. If none of them divides 5008, it is prime.
- 3
2 divides 5008 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5008 = 2^{4} \times 313 \]Testing 5008 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5008 ÷ 2 | divides exactly (2504) |
| 3 | 5008 ÷ 3 | leaves 1 |
| 5 | 5008 ÷ 5 | leaves 3 |
| 7 | 5008 ÷ 7 | leaves 3 |
| 11 | 5008 ÷ 11 | leaves 3 |
| 13 | 5008 ÷ 13 | leaves 3 |
| 17 | 5008 ÷ 17 | leaves 10 |
| 19 | 5008 ÷ 19 | leaves 11 |
| 23 | 5008 ÷ 23 | leaves 17 |
| 29 | 5008 ÷ 29 | leaves 20 |
| 31 | 5008 ÷ 31 | leaves 17 |
| 37 | 5008 ÷ 37 | leaves 13 |
Questions
Is 5008 a prime number?
No, 5008 is not a prime number. It is divisible by 2: 5008 = 2 × 2504.
What is the next prime after 5008?
5009.
What is the prime number before 5008?
5003.
What are the factors of 5008?
1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008.