Is 9708 a prime number?
No, 9708 is not a prime number. It is divisible by 2: 9708 = 2 × 4854.
Is 9708 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 √9708 ≈ 98.53. If none of them divides 9708, it is prime.
- 3
2 divides 9708 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9708 = 2^{2} \times 3 \times 809 \]Testing 9708 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9708 ÷ 2 | divides exactly (4854) |
| 3 | 9708 ÷ 3 | divides exactly (3236) |
| 5 | 9708 ÷ 5 | leaves 3 |
| 7 | 9708 ÷ 7 | leaves 6 |
| 11 | 9708 ÷ 11 | leaves 6 |
| 13 | 9708 ÷ 13 | leaves 10 |
| 17 | 9708 ÷ 17 | leaves 1 |
| 19 | 9708 ÷ 19 | leaves 18 |
| 23 | 9708 ÷ 23 | leaves 2 |
| 29 | 9708 ÷ 29 | leaves 22 |
| 31 | 9708 ÷ 31 | leaves 5 |
| 37 | 9708 ÷ 37 | leaves 14 |
Questions
Is 9708 a prime number?
No, 9708 is not a prime number. It is divisible by 2: 9708 = 2 × 4854.
What is the next prime after 9708?
9719.
What is the prime number before 9708?
9697.
What are the factors of 9708?
1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708.