Is 9004 a prime number?
No, 9004 is not a prime number. It is divisible by 2: 9004 = 2 × 4502.
Is 9004 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 √9004 ≈ 94.89. If none of them divides 9004, it is prime.
- 3
2 divides 9004 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9004 = 2^{2} \times 2251 \]Testing 9004 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9004 ÷ 2 | divides exactly (4502) |
| 3 | 9004 ÷ 3 | leaves 1 |
| 5 | 9004 ÷ 5 | leaves 4 |
| 7 | 9004 ÷ 7 | leaves 2 |
| 11 | 9004 ÷ 11 | leaves 6 |
| 13 | 9004 ÷ 13 | leaves 8 |
| 17 | 9004 ÷ 17 | leaves 11 |
| 19 | 9004 ÷ 19 | leaves 17 |
| 23 | 9004 ÷ 23 | leaves 11 |
| 29 | 9004 ÷ 29 | leaves 14 |
| 31 | 9004 ÷ 31 | leaves 14 |
| 37 | 9004 ÷ 37 | leaves 13 |
Questions
Is 9004 a prime number?
No, 9004 is not a prime number. It is divisible by 2: 9004 = 2 × 4502.
What is the next prime after 9004?
9007.
What is the prime number before 9004?
9001.
What are the factors of 9004?
1, 2, 4, 2251, 4502, 9004.