Is 9008 a prime number?
No, 9008 is not a prime number. It is divisible by 2: 9008 = 2 × 4504.
Is 9008 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 √9008 ≈ 94.91. If none of them divides 9008, it is prime.
- 3
2 divides 9008 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9008 = 2^{4} \times 563 \]Testing 9008 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9008 ÷ 2 | divides exactly (4504) |
| 3 | 9008 ÷ 3 | leaves 2 |
| 5 | 9008 ÷ 5 | leaves 3 |
| 7 | 9008 ÷ 7 | leaves 6 |
| 11 | 9008 ÷ 11 | leaves 10 |
| 13 | 9008 ÷ 13 | leaves 12 |
| 17 | 9008 ÷ 17 | leaves 15 |
| 19 | 9008 ÷ 19 | leaves 2 |
| 23 | 9008 ÷ 23 | leaves 15 |
| 29 | 9008 ÷ 29 | leaves 18 |
| 31 | 9008 ÷ 31 | leaves 18 |
| 37 | 9008 ÷ 37 | leaves 17 |
Questions
Is 9008 a prime number?
No, 9008 is not a prime number. It is divisible by 2: 9008 = 2 × 4504.
What is the next prime after 9008?
9011.
What is the prime number before 9008?
9007.
What are the factors of 9008?
1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008.