Is 9723 a prime number?
No, 9723 is not a prime number. It is divisible by 3: 9723 = 3 × 3241.
Is 9723 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 √9723 ≈ 98.61. If none of them divides 9723, it is prime.
- 3
3 divides 9723 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9723 = 3 \times 7 \times 463 \]
Testing 9723 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9723 ÷ 2 | leaves 1 |
| 3 | 9723 ÷ 3 | divides exactly (3241) |
| 5 | 9723 ÷ 5 | leaves 3 |
| 7 | 9723 ÷ 7 | divides exactly (1389) |
| 11 | 9723 ÷ 11 | leaves 10 |
| 13 | 9723 ÷ 13 | leaves 12 |
| 17 | 9723 ÷ 17 | leaves 16 |
| 19 | 9723 ÷ 19 | leaves 14 |
| 23 | 9723 ÷ 23 | leaves 17 |
| 29 | 9723 ÷ 29 | leaves 8 |
| 31 | 9723 ÷ 31 | leaves 20 |
| 37 | 9723 ÷ 37 | leaves 29 |
Questions
Is 9723 a prime number?
No, 9723 is not a prime number. It is divisible by 3: 9723 = 3 × 3241.
What is the next prime after 9723?
9733.
What is the prime number before 9723?
9721.
What are the factors of 9723?
1, 3, 7, 21, 463, 1389, 3241, 9723.