Is 7009 a prime number?
No, 7009 is not a prime number. It is divisible by 43: 7009 = 43 × 163.
Is 7009 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 √7009 ≈ 83.72. If none of them divides 7009, it is prime.
- 3
43 divides 7009 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7009 = 43 \times 163 \]
Testing 7009 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7009 ÷ 2 | leaves 1 |
| 3 | 7009 ÷ 3 | leaves 1 |
| 5 | 7009 ÷ 5 | leaves 4 |
| 7 | 7009 ÷ 7 | leaves 2 |
| 11 | 7009 ÷ 11 | leaves 2 |
| 13 | 7009 ÷ 13 | leaves 2 |
| 17 | 7009 ÷ 17 | leaves 5 |
| 19 | 7009 ÷ 19 | leaves 17 |
| 23 | 7009 ÷ 23 | leaves 17 |
| 29 | 7009 ÷ 29 | leaves 20 |
| 31 | 7009 ÷ 31 | leaves 3 |
| 37 | 7009 ÷ 37 | leaves 16 |
Questions
Is 7009 a prime number?
No, 7009 is not a prime number. It is divisible by 43: 7009 = 43 × 163.
What is the next prime after 7009?
7013.
What is the prime number before 7009?
7001.
What are the factors of 7009?
1, 43, 163, 7009.