Is 9509 a prime number?
No, 9509 is not a prime number. It is divisible by 37: 9509 = 37 × 257.
Is 9509 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 √9509 ≈ 97.51. If none of them divides 9509, it is prime.
- 3
37 divides 9509 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9509 = 37 \times 257 \]
Testing 9509 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9509 ÷ 2 | leaves 1 |
| 3 | 9509 ÷ 3 | leaves 2 |
| 5 | 9509 ÷ 5 | leaves 4 |
| 7 | 9509 ÷ 7 | leaves 3 |
| 11 | 9509 ÷ 11 | leaves 5 |
| 13 | 9509 ÷ 13 | leaves 6 |
| 17 | 9509 ÷ 17 | leaves 6 |
| 19 | 9509 ÷ 19 | leaves 9 |
| 23 | 9509 ÷ 23 | leaves 10 |
| 29 | 9509 ÷ 29 | leaves 26 |
| 31 | 9509 ÷ 31 | leaves 23 |
| 37 | 9509 ÷ 37 | divides exactly (257) |
Questions
Is 9509 a prime number?
No, 9509 is not a prime number. It is divisible by 37: 9509 = 37 × 257.
What is the next prime after 9509?
9511.
What is the prime number before 9509?
9497.
What are the factors of 9509?
1, 37, 257, 9509.