Is 323 a prime number?
No, 323 is not a prime number. It is divisible by 17: 323 = 17 × 19.
Is 323 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 √323 ≈ 17.97. If none of them divides 323, it is prime.
- 3
17 divides 323 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 323 = 17 \times 19 \]
Testing 323 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 323 ÷ 2 | leaves 1 |
| 3 | 323 ÷ 3 | leaves 2 |
| 5 | 323 ÷ 5 | leaves 3 |
| 7 | 323 ÷ 7 | leaves 1 |
| 11 | 323 ÷ 11 | leaves 4 |
| 13 | 323 ÷ 13 | leaves 11 |
| 17 | 323 ÷ 17 | divides exactly (19) |
Questions
Is 323 a prime number?
No, 323 is not a prime number. It is divisible by 17: 323 = 17 × 19.
What is the next prime after 323?
331.
What is the prime number before 323?
317.
What are the factors of 323?
1, 17, 19, 323.