Is 1323 a prime number?
No, 1323 is not a prime number. It is divisible by 3: 1323 = 3 × 441.
Is 1323 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 √1323 ≈ 36.37. If none of them divides 1323, it is prime.
- 3
3 divides 1323 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1323 = 3^{3} \times 7^{2} \]Testing 1323 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1323 ÷ 2 | leaves 1 |
| 3 | 1323 ÷ 3 | divides exactly (441) |
| 5 | 1323 ÷ 5 | leaves 3 |
| 7 | 1323 ÷ 7 | divides exactly (189) |
| 11 | 1323 ÷ 11 | leaves 3 |
| 13 | 1323 ÷ 13 | leaves 10 |
| 17 | 1323 ÷ 17 | leaves 14 |
| 19 | 1323 ÷ 19 | leaves 12 |
| 23 | 1323 ÷ 23 | leaves 12 |
| 29 | 1323 ÷ 29 | leaves 18 |
| 31 | 1323 ÷ 31 | leaves 21 |
Questions
Is 1323 a prime number?
No, 1323 is not a prime number. It is divisible by 3: 1323 = 3 × 441.
What is the next prime after 1323?
1327.
What is the prime number before 1323?
1321.
What are the factors of 1323?
1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323.