Is 1339 a prime number?
No, 1339 is not a prime number. It is divisible by 13: 1339 = 13 × 103.
Is 1339 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 √1339 ≈ 36.59. If none of them divides 1339, it is prime.
- 3
13 divides 1339 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1339 = 13 \times 103 \]
Testing 1339 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1339 ÷ 2 | leaves 1 |
| 3 | 1339 ÷ 3 | leaves 1 |
| 5 | 1339 ÷ 5 | leaves 4 |
| 7 | 1339 ÷ 7 | leaves 2 |
| 11 | 1339 ÷ 11 | leaves 8 |
| 13 | 1339 ÷ 13 | divides exactly (103) |
| 17 | 1339 ÷ 17 | leaves 13 |
| 19 | 1339 ÷ 19 | leaves 9 |
| 23 | 1339 ÷ 23 | leaves 5 |
| 29 | 1339 ÷ 29 | leaves 5 |
| 31 | 1339 ÷ 31 | leaves 6 |
Questions
Is 1339 a prime number?
No, 1339 is not a prime number. It is divisible by 13: 1339 = 13 × 103.
What is the next prime after 1339?
1361.
What is the prime number before 1339?
1327.
What are the factors of 1339?
1, 13, 103, 1339.