Is 6741 a prime number?
No, 6741 is not a prime number. It is divisible by 3: 6741 = 3 × 2247.
Is 6741 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 √6741 ≈ 82.10. If none of them divides 6741, it is prime.
- 3
3 divides 6741 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6741 = 3^{2} \times 7 \times 107 \]Testing 6741 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6741 ÷ 2 | leaves 1 |
| 3 | 6741 ÷ 3 | divides exactly (2247) |
| 5 | 6741 ÷ 5 | leaves 1 |
| 7 | 6741 ÷ 7 | divides exactly (963) |
| 11 | 6741 ÷ 11 | leaves 9 |
| 13 | 6741 ÷ 13 | leaves 7 |
| 17 | 6741 ÷ 17 | leaves 9 |
| 19 | 6741 ÷ 19 | leaves 15 |
| 23 | 6741 ÷ 23 | leaves 2 |
| 29 | 6741 ÷ 29 | leaves 13 |
| 31 | 6741 ÷ 31 | leaves 14 |
| 37 | 6741 ÷ 37 | leaves 7 |
Questions
Is 6741 a prime number?
No, 6741 is not a prime number. It is divisible by 3: 6741 = 3 × 2247.
What is the next prime after 6741?
6761.
What is the prime number before 6741?
6737.
What are the factors of 6741?
1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741.