Is 1345 a prime number?
No, 1345 is not a prime number. It is divisible by 5: 1345 = 5 × 269.
Is 1345 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 √1345 ≈ 36.67. If none of them divides 1345, it is prime.
- 3
5 divides 1345 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1345 = 5 \times 269 \]
Testing 1345 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1345 ÷ 2 | leaves 1 |
| 3 | 1345 ÷ 3 | leaves 1 |
| 5 | 1345 ÷ 5 | divides exactly (269) |
| 7 | 1345 ÷ 7 | leaves 1 |
| 11 | 1345 ÷ 11 | leaves 3 |
| 13 | 1345 ÷ 13 | leaves 6 |
| 17 | 1345 ÷ 17 | leaves 2 |
| 19 | 1345 ÷ 19 | leaves 15 |
| 23 | 1345 ÷ 23 | leaves 11 |
| 29 | 1345 ÷ 29 | leaves 11 |
| 31 | 1345 ÷ 31 | leaves 12 |
Questions
Is 1345 a prime number?
No, 1345 is not a prime number. It is divisible by 5: 1345 = 5 × 269.
What is the next prime after 1345?
1361.
What is the prime number before 1345?
1327.
What are the factors of 1345?
1, 5, 269, 1345.