Is 9000 a prime number?
No, 9000 is not a prime number. It is divisible by 2: 9000 = 2 × 4500.
Is 9000 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 √9000 ≈ 94.87. If none of them divides 9000, it is prime.
- 3
2 divides 9000 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9000 = 2^{3} \times 3^{2} \times 5^{3} \]Testing 9000 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9000 ÷ 2 | divides exactly (4500) |
| 3 | 9000 ÷ 3 | divides exactly (3000) |
| 5 | 9000 ÷ 5 | divides exactly (1800) |
| 7 | 9000 ÷ 7 | leaves 5 |
| 11 | 9000 ÷ 11 | leaves 2 |
| 13 | 9000 ÷ 13 | leaves 4 |
| 17 | 9000 ÷ 17 | leaves 7 |
| 19 | 9000 ÷ 19 | leaves 13 |
| 23 | 9000 ÷ 23 | leaves 7 |
| 29 | 9000 ÷ 29 | leaves 10 |
| 31 | 9000 ÷ 31 | leaves 10 |
| 37 | 9000 ÷ 37 | leaves 9 |
Questions
Is 9000 a prime number?
No, 9000 is not a prime number. It is divisible by 2: 9000 = 2 × 4500.
What is the next prime after 9000?
9001.
What is the prime number before 9000?
8999.
What are the factors of 9000?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000.