Is 3311 a prime number?
No, 3311 is not a prime number. It is divisible by 7: 3311 = 7 × 473.
Is 3311 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 √3311 ≈ 57.54. If none of them divides 3311, it is prime.
- 3
7 divides 3311 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3311 = 7 \times 11 \times 43 \]
Testing 3311 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3311 ÷ 2 | leaves 1 |
| 3 | 3311 ÷ 3 | leaves 2 |
| 5 | 3311 ÷ 5 | leaves 1 |
| 7 | 3311 ÷ 7 | divides exactly (473) |
| 11 | 3311 ÷ 11 | divides exactly (301) |
| 13 | 3311 ÷ 13 | leaves 9 |
| 17 | 3311 ÷ 17 | leaves 13 |
| 19 | 3311 ÷ 19 | leaves 5 |
| 23 | 3311 ÷ 23 | leaves 22 |
| 29 | 3311 ÷ 29 | leaves 5 |
| 31 | 3311 ÷ 31 | leaves 25 |
| 37 | 3311 ÷ 37 | leaves 18 |
Questions
Is 3311 a prime number?
No, 3311 is not a prime number. It is divisible by 7: 3311 = 7 × 473.
What is the next prime after 3311?
3313.
What is the prime number before 3311?
3307.
What are the factors of 3311?
1, 7, 11, 43, 77, 301, 473, 3311.