Is 1355 a prime number?
No, 1355 is not a prime number. It is divisible by 5: 1355 = 5 × 271.
Is 1355 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 √1355 ≈ 36.81. If none of them divides 1355, it is prime.
- 3
5 divides 1355 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1355 = 5 \times 271 \]
Testing 1355 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1355 ÷ 2 | leaves 1 |
| 3 | 1355 ÷ 3 | leaves 2 |
| 5 | 1355 ÷ 5 | divides exactly (271) |
| 7 | 1355 ÷ 7 | leaves 4 |
| 11 | 1355 ÷ 11 | leaves 2 |
| 13 | 1355 ÷ 13 | leaves 3 |
| 17 | 1355 ÷ 17 | leaves 12 |
| 19 | 1355 ÷ 19 | leaves 6 |
| 23 | 1355 ÷ 23 | leaves 21 |
| 29 | 1355 ÷ 29 | leaves 21 |
| 31 | 1355 ÷ 31 | leaves 22 |
Questions
Is 1355 a prime number?
No, 1355 is not a prime number. It is divisible by 5: 1355 = 5 × 271.
What is the next prime after 1355?
1361.
What is the prime number before 1355?
1327.
What are the factors of 1355?
1, 5, 271, 1355.