Is 3008 a prime number?
No, 3008 is not a prime number. It is divisible by 2: 3008 = 2 × 1504.
Is 3008 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 √3008 ≈ 54.85. If none of them divides 3008, it is prime.
- 3
2 divides 3008 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3008 = 2^{6} \times 47 \]Testing 3008 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3008 ÷ 2 | divides exactly (1504) |
| 3 | 3008 ÷ 3 | leaves 2 |
| 5 | 3008 ÷ 5 | leaves 3 |
| 7 | 3008 ÷ 7 | leaves 5 |
| 11 | 3008 ÷ 11 | leaves 5 |
| 13 | 3008 ÷ 13 | leaves 5 |
| 17 | 3008 ÷ 17 | leaves 16 |
| 19 | 3008 ÷ 19 | leaves 6 |
| 23 | 3008 ÷ 23 | leaves 18 |
| 29 | 3008 ÷ 29 | leaves 21 |
| 31 | 3008 ÷ 31 | leaves 1 |
| 37 | 3008 ÷ 37 | leaves 11 |
Questions
Is 3008 a prime number?
No, 3008 is not a prime number. It is divisible by 2: 3008 = 2 × 1504.
What is the next prime after 3008?
3011.
What is the prime number before 3008?
3001.
What are the factors of 3008?
1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008.