Is 2008 a prime number?
No, 2008 is not a prime number. It is divisible by 2: 2008 = 2 × 1004.
Is 2008 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 √2008 ≈ 44.81. If none of them divides 2008, it is prime.
- 3
2 divides 2008 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2008 = 2^{3} \times 251 \]Testing 2008 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2008 ÷ 2 | divides exactly (1004) |
| 3 | 2008 ÷ 3 | leaves 1 |
| 5 | 2008 ÷ 5 | leaves 3 |
| 7 | 2008 ÷ 7 | leaves 6 |
| 11 | 2008 ÷ 11 | leaves 6 |
| 13 | 2008 ÷ 13 | leaves 6 |
| 17 | 2008 ÷ 17 | leaves 2 |
| 19 | 2008 ÷ 19 | leaves 13 |
| 23 | 2008 ÷ 23 | leaves 7 |
| 29 | 2008 ÷ 29 | leaves 7 |
| 31 | 2008 ÷ 31 | leaves 24 |
| 37 | 2008 ÷ 37 | leaves 10 |
Questions
Is 2008 a prime number?
No, 2008 is not a prime number. It is divisible by 2: 2008 = 2 × 1004.
What is the next prime after 2008?
2011.
What is the prime number before 2008?
2003.
What are the factors of 2008?
1, 2, 4, 8, 251, 502, 1004, 2008.