Is 6008 a prime number?
No, 6008 is not a prime number. It is divisible by 2: 6008 = 2 × 3004.
Is 6008 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 √6008 ≈ 77.51. If none of them divides 6008, it is prime.
- 3
2 divides 6008 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6008 = 2^{3} \times 751 \]Testing 6008 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6008 ÷ 2 | divides exactly (3004) |
| 3 | 6008 ÷ 3 | leaves 2 |
| 5 | 6008 ÷ 5 | leaves 3 |
| 7 | 6008 ÷ 7 | leaves 2 |
| 11 | 6008 ÷ 11 | leaves 2 |
| 13 | 6008 ÷ 13 | leaves 2 |
| 17 | 6008 ÷ 17 | leaves 7 |
| 19 | 6008 ÷ 19 | leaves 4 |
| 23 | 6008 ÷ 23 | leaves 5 |
| 29 | 6008 ÷ 29 | leaves 5 |
| 31 | 6008 ÷ 31 | leaves 25 |
| 37 | 6008 ÷ 37 | leaves 14 |
Questions
Is 6008 a prime number?
No, 6008 is not a prime number. It is divisible by 2: 6008 = 2 × 3004.
What is the next prime after 6008?
6011.
What is the prime number before 6008?
6007.
What are the factors of 6008?
1, 2, 4, 8, 751, 1502, 3004, 6008.