Is 9009 a prime number?
No, 9009 is not a prime number. It is divisible by 3: 9009 = 3 × 3003.
Is 9009 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 √9009 ≈ 94.92. If none of them divides 9009, it is prime.
- 3
3 divides 9009 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9009 = 3^{2} \times 7 \times 11 \times 13 \]Testing 9009 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9009 ÷ 2 | leaves 1 |
| 3 | 9009 ÷ 3 | divides exactly (3003) |
| 5 | 9009 ÷ 5 | leaves 4 |
| 7 | 9009 ÷ 7 | divides exactly (1287) |
| 11 | 9009 ÷ 11 | divides exactly (819) |
| 13 | 9009 ÷ 13 | divides exactly (693) |
| 17 | 9009 ÷ 17 | leaves 16 |
| 19 | 9009 ÷ 19 | leaves 3 |
| 23 | 9009 ÷ 23 | leaves 16 |
| 29 | 9009 ÷ 29 | leaves 19 |
| 31 | 9009 ÷ 31 | leaves 19 |
| 37 | 9009 ÷ 37 | leaves 18 |
Questions
Is 9009 a prime number?
No, 9009 is not a prime number. It is divisible by 3: 9009 = 3 × 3003.
What is the next prime after 9009?
9011.
What is the prime number before 9009?
9007.
What are the factors of 9009?
1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009.