Is 4008 a prime number?
No, 4008 is not a prime number. It is divisible by 2: 4008 = 2 × 2004.
Is 4008 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 √4008 ≈ 63.31. If none of them divides 4008, it is prime.
- 3
2 divides 4008 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4008 = 2^{3} \times 3 \times 167 \]Testing 4008 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4008 ÷ 2 | divides exactly (2004) |
| 3 | 4008 ÷ 3 | divides exactly (1336) |
| 5 | 4008 ÷ 5 | leaves 3 |
| 7 | 4008 ÷ 7 | leaves 4 |
| 11 | 4008 ÷ 11 | leaves 4 |
| 13 | 4008 ÷ 13 | leaves 4 |
| 17 | 4008 ÷ 17 | leaves 13 |
| 19 | 4008 ÷ 19 | leaves 18 |
| 23 | 4008 ÷ 23 | leaves 6 |
| 29 | 4008 ÷ 29 | leaves 6 |
| 31 | 4008 ÷ 31 | leaves 9 |
| 37 | 4008 ÷ 37 | leaves 12 |
Questions
Is 4008 a prime number?
No, 4008 is not a prime number. It is divisible by 2: 4008 = 2 × 2004.
What is the next prime after 4008?
4013.
What is the prime number before 4008?
4007.
What are the factors of 4008?
1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008.