Is 9703 a prime number?
No, 9703 is not a prime number. It is divisible by 31: 9703 = 31 × 313.
Is 9703 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 √9703 ≈ 98.50. If none of them divides 9703, it is prime.
- 3
31 divides 9703 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9703 = 31 \times 313 \]
Testing 9703 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9703 ÷ 2 | leaves 1 |
| 3 | 9703 ÷ 3 | leaves 1 |
| 5 | 9703 ÷ 5 | leaves 3 |
| 7 | 9703 ÷ 7 | leaves 1 |
| 11 | 9703 ÷ 11 | leaves 1 |
| 13 | 9703 ÷ 13 | leaves 5 |
| 17 | 9703 ÷ 17 | leaves 13 |
| 19 | 9703 ÷ 19 | leaves 13 |
| 23 | 9703 ÷ 23 | leaves 20 |
| 29 | 9703 ÷ 29 | leaves 17 |
| 31 | 9703 ÷ 31 | divides exactly (313) |
| 37 | 9703 ÷ 37 | leaves 9 |
Questions
Is 9703 a prime number?
No, 9703 is not a prime number. It is divisible by 31: 9703 = 31 × 313.
What is the next prime after 9703?
9719.
What is the prime number before 9703?
9697.
What are the factors of 9703?
1, 31, 313, 9703.