Is 9809 a prime number?
No, 9809 is not a prime number. It is divisible by 17: 9809 = 17 × 577.
Is 9809 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 √9809 ≈ 99.04. If none of them divides 9809, it is prime.
- 3
17 divides 9809 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9809 = 17 \times 577 \]
Testing 9809 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9809 ÷ 2 | leaves 1 |
| 3 | 9809 ÷ 3 | leaves 2 |
| 5 | 9809 ÷ 5 | leaves 4 |
| 7 | 9809 ÷ 7 | leaves 2 |
| 11 | 9809 ÷ 11 | leaves 8 |
| 13 | 9809 ÷ 13 | leaves 7 |
| 17 | 9809 ÷ 17 | divides exactly (577) |
| 19 | 9809 ÷ 19 | leaves 5 |
| 23 | 9809 ÷ 23 | leaves 11 |
| 29 | 9809 ÷ 29 | leaves 7 |
| 31 | 9809 ÷ 31 | leaves 13 |
| 37 | 9809 ÷ 37 | leaves 4 |
Questions
Is 9809 a prime number?
No, 9809 is not a prime number. It is divisible by 17: 9809 = 17 × 577.
What is the next prime after 9809?
9811.
What is the prime number before 9809?
9803.
What are the factors of 9809?
1, 17, 577, 9809.