Is 1337 a prime number?
No, 1337 is not a prime number. It is divisible by 7: 1337 = 7 × 191.
Is 1337 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 √1337 ≈ 36.57. If none of them divides 1337, it is prime.
- 3
7 divides 1337 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1337 = 7 \times 191 \]
Testing 1337 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1337 ÷ 2 | leaves 1 |
| 3 | 1337 ÷ 3 | leaves 2 |
| 5 | 1337 ÷ 5 | leaves 2 |
| 7 | 1337 ÷ 7 | divides exactly (191) |
| 11 | 1337 ÷ 11 | leaves 6 |
| 13 | 1337 ÷ 13 | leaves 11 |
| 17 | 1337 ÷ 17 | leaves 11 |
| 19 | 1337 ÷ 19 | leaves 7 |
| 23 | 1337 ÷ 23 | leaves 3 |
| 29 | 1337 ÷ 29 | leaves 3 |
| 31 | 1337 ÷ 31 | leaves 4 |
Questions
Is 1337 a prime number?
No, 1337 is not a prime number. It is divisible by 7: 1337 = 7 × 191.
What is the next prime after 1337?
1361.
What is the prime number before 1337?
1327.
What are the factors of 1337?
1, 7, 191, 1337.