Is 3141 a prime number?
No, 3141 is not a prime number. It is divisible by 3: 3141 = 3 × 1047.
Is 3141 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 √3141 ≈ 56.04. If none of them divides 3141, it is prime.
- 3
3 divides 3141 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3141 = 3^{2} \times 349 \]Testing 3141 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3141 ÷ 2 | leaves 1 |
| 3 | 3141 ÷ 3 | divides exactly (1047) |
| 5 | 3141 ÷ 5 | leaves 1 |
| 7 | 3141 ÷ 7 | leaves 5 |
| 11 | 3141 ÷ 11 | leaves 6 |
| 13 | 3141 ÷ 13 | leaves 8 |
| 17 | 3141 ÷ 17 | leaves 13 |
| 19 | 3141 ÷ 19 | leaves 6 |
| 23 | 3141 ÷ 23 | leaves 13 |
| 29 | 3141 ÷ 29 | leaves 9 |
| 31 | 3141 ÷ 31 | leaves 10 |
| 37 | 3141 ÷ 37 | leaves 33 |
Questions
Is 3141 a prime number?
No, 3141 is not a prime number. It is divisible by 3: 3141 = 3 × 1047.
What is the next prime after 3141?
3163.
What is the prime number before 3141?
3137.
What are the factors of 3141?
1, 3, 9, 349, 1047, 3141.