Is 9409 a prime number?
No, 9409 is not a prime number. It is divisible by 97: 9409 = 97 × 97.
Is 9409 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 √9409 ≈ 97.00. If none of them divides 9409, it is prime.
- 3
97 divides 9409 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9409 = 97^{2} \]Testing 9409 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9409 ÷ 2 | leaves 1 |
| 3 | 9409 ÷ 3 | leaves 1 |
| 5 | 9409 ÷ 5 | leaves 4 |
| 7 | 9409 ÷ 7 | leaves 1 |
| 11 | 9409 ÷ 11 | leaves 4 |
| 13 | 9409 ÷ 13 | leaves 10 |
| 17 | 9409 ÷ 17 | leaves 8 |
| 19 | 9409 ÷ 19 | leaves 4 |
| 23 | 9409 ÷ 23 | leaves 2 |
| 29 | 9409 ÷ 29 | leaves 13 |
| 31 | 9409 ÷ 31 | leaves 16 |
| 37 | 9409 ÷ 37 | leaves 11 |
Questions
Is 9409 a prime number?
No, 9409 is not a prime number. It is divisible by 97: 9409 = 97 × 97.
What is the next prime after 9409?
9413.
What is the prime number before 9409?
9403.
What are the factors of 9409?
1, 97, 9409.