Is 3149 a prime number?
No, 3149 is not a prime number. It is divisible by 47: 3149 = 47 × 67.
Is 3149 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 √3149 ≈ 56.12. If none of them divides 3149, it is prime.
- 3
47 divides 3149 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3149 = 47 \times 67 \]
Testing 3149 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3149 ÷ 2 | leaves 1 |
| 3 | 3149 ÷ 3 | leaves 2 |
| 5 | 3149 ÷ 5 | leaves 4 |
| 7 | 3149 ÷ 7 | leaves 6 |
| 11 | 3149 ÷ 11 | leaves 3 |
| 13 | 3149 ÷ 13 | leaves 3 |
| 17 | 3149 ÷ 17 | leaves 4 |
| 19 | 3149 ÷ 19 | leaves 14 |
| 23 | 3149 ÷ 23 | leaves 21 |
| 29 | 3149 ÷ 29 | leaves 17 |
| 31 | 3149 ÷ 31 | leaves 18 |
| 37 | 3149 ÷ 37 | leaves 4 |
Questions
Is 3149 a prime number?
No, 3149 is not a prime number. It is divisible by 47: 3149 = 47 × 67.
What is the next prime after 3149?
3163.
What is the prime number before 3149?
3137.
What are the factors of 3149?
1, 47, 67, 3149.