Is 1325 a prime number?
No, 1325 is not a prime number. It is divisible by 5: 1325 = 5 × 265.
Is 1325 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 √1325 ≈ 36.40. If none of them divides 1325, it is prime.
- 3
5 divides 1325 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1325 = 5^{2} \times 53 \]Testing 1325 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1325 ÷ 2 | leaves 1 |
| 3 | 1325 ÷ 3 | leaves 2 |
| 5 | 1325 ÷ 5 | divides exactly (265) |
| 7 | 1325 ÷ 7 | leaves 2 |
| 11 | 1325 ÷ 11 | leaves 5 |
| 13 | 1325 ÷ 13 | leaves 12 |
| 17 | 1325 ÷ 17 | leaves 16 |
| 19 | 1325 ÷ 19 | leaves 14 |
| 23 | 1325 ÷ 23 | leaves 14 |
| 29 | 1325 ÷ 29 | leaves 20 |
| 31 | 1325 ÷ 31 | leaves 23 |
Questions
Is 1325 a prime number?
No, 1325 is not a prime number. It is divisible by 5: 1325 = 5 × 265.
What is the next prime after 1325?
1327.
What is the prime number before 1325?
1321.
What are the factors of 1325?
1, 5, 25, 53, 265, 1325.