Is 9006 a prime number?
No, 9006 is not a prime number. It is divisible by 2: 9006 = 2 × 4503.
Is 9006 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 √9006 ≈ 94.90. If none of them divides 9006, it is prime.
- 3
2 divides 9006 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9006 = 2 \times 3 \times 19 \times 79 \]
Testing 9006 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9006 ÷ 2 | divides exactly (4503) |
| 3 | 9006 ÷ 3 | divides exactly (3002) |
| 5 | 9006 ÷ 5 | leaves 1 |
| 7 | 9006 ÷ 7 | leaves 4 |
| 11 | 9006 ÷ 11 | leaves 8 |
| 13 | 9006 ÷ 13 | leaves 10 |
| 17 | 9006 ÷ 17 | leaves 13 |
| 19 | 9006 ÷ 19 | divides exactly (474) |
| 23 | 9006 ÷ 23 | leaves 13 |
| 29 | 9006 ÷ 29 | leaves 16 |
| 31 | 9006 ÷ 31 | leaves 16 |
| 37 | 9006 ÷ 37 | leaves 15 |
Questions
Is 9006 a prime number?
No, 9006 is not a prime number. It is divisible by 2: 9006 = 2 × 4503.
What is the next prime after 9006?
9007.
What is the prime number before 9006?
9001.
What are the factors of 9006?
1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006.