Is 3111 a prime number?
No, 3111 is not a prime number. It is divisible by 3: 3111 = 3 × 1037.
Is 3111 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 √3111 ≈ 55.78. If none of them divides 3111, it is prime.
- 3
3 divides 3111 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3111 = 3 \times 17 \times 61 \]
Testing 3111 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3111 ÷ 2 | leaves 1 |
| 3 | 3111 ÷ 3 | divides exactly (1037) |
| 5 | 3111 ÷ 5 | leaves 1 |
| 7 | 3111 ÷ 7 | leaves 3 |
| 11 | 3111 ÷ 11 | leaves 9 |
| 13 | 3111 ÷ 13 | leaves 4 |
| 17 | 3111 ÷ 17 | divides exactly (183) |
| 19 | 3111 ÷ 19 | leaves 14 |
| 23 | 3111 ÷ 23 | leaves 6 |
| 29 | 3111 ÷ 29 | leaves 8 |
| 31 | 3111 ÷ 31 | leaves 11 |
| 37 | 3111 ÷ 37 | leaves 3 |
Questions
Is 3111 a prime number?
No, 3111 is not a prime number. It is divisible by 3: 3111 = 3 × 1037.
What is the next prime after 3111?
3119.
What is the prime number before 3111?
3109.
What are the factors of 3111?
1, 3, 17, 51, 61, 183, 1037, 3111.