Is 9709 a prime number?
No, 9709 is not a prime number. It is divisible by 7: 9709 = 7 × 1387.
Is 9709 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 √9709 ≈ 98.53. If none of them divides 9709, it is prime.
- 3
7 divides 9709 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9709 = 7 \times 19 \times 73 \]
Testing 9709 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9709 ÷ 2 | leaves 1 |
| 3 | 9709 ÷ 3 | leaves 1 |
| 5 | 9709 ÷ 5 | leaves 4 |
| 7 | 9709 ÷ 7 | divides exactly (1387) |
| 11 | 9709 ÷ 11 | leaves 7 |
| 13 | 9709 ÷ 13 | leaves 11 |
| 17 | 9709 ÷ 17 | leaves 2 |
| 19 | 9709 ÷ 19 | divides exactly (511) |
| 23 | 9709 ÷ 23 | leaves 3 |
| 29 | 9709 ÷ 29 | leaves 23 |
| 31 | 9709 ÷ 31 | leaves 6 |
| 37 | 9709 ÷ 37 | leaves 15 |
Questions
Is 9709 a prime number?
No, 9709 is not a prime number. It is divisible by 7: 9709 = 7 × 1387.
What is the next prime after 9709?
9719.
What is the prime number before 9709?
9697.
What are the factors of 9709?
1, 7, 19, 73, 133, 511, 1387, 9709.