Is 1311 a prime number?
No, 1311 is not a prime number. It is divisible by 3: 1311 = 3 × 437.
Is 1311 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 √1311 ≈ 36.21. If none of them divides 1311, it is prime.
- 3
3 divides 1311 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1311 = 3 \times 19 \times 23 \]
Testing 1311 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1311 ÷ 2 | leaves 1 |
| 3 | 1311 ÷ 3 | divides exactly (437) |
| 5 | 1311 ÷ 5 | leaves 1 |
| 7 | 1311 ÷ 7 | leaves 2 |
| 11 | 1311 ÷ 11 | leaves 2 |
| 13 | 1311 ÷ 13 | leaves 11 |
| 17 | 1311 ÷ 17 | leaves 2 |
| 19 | 1311 ÷ 19 | divides exactly (69) |
| 23 | 1311 ÷ 23 | divides exactly (57) |
| 29 | 1311 ÷ 29 | leaves 6 |
| 31 | 1311 ÷ 31 | leaves 9 |
Questions
Is 1311 a prime number?
No, 1311 is not a prime number. It is divisible by 3: 1311 = 3 × 437.
What is the next prime after 1311?
1319.
What is the prime number before 1311?
1307.
What are the factors of 1311?
1, 3, 19, 23, 57, 69, 437, 1311.