Is 6801 a prime number?
No, 6801 is not a prime number. It is divisible by 3: 6801 = 3 × 2267.
Is 6801 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 √6801 ≈ 82.47. If none of them divides 6801, it is prime.
- 3
3 divides 6801 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6801 = 3 \times 2267 \]
Testing 6801 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6801 ÷ 2 | leaves 1 |
| 3 | 6801 ÷ 3 | divides exactly (2267) |
| 5 | 6801 ÷ 5 | leaves 1 |
| 7 | 6801 ÷ 7 | leaves 4 |
| 11 | 6801 ÷ 11 | leaves 3 |
| 13 | 6801 ÷ 13 | leaves 2 |
| 17 | 6801 ÷ 17 | leaves 1 |
| 19 | 6801 ÷ 19 | leaves 18 |
| 23 | 6801 ÷ 23 | leaves 16 |
| 29 | 6801 ÷ 29 | leaves 15 |
| 31 | 6801 ÷ 31 | leaves 12 |
| 37 | 6801 ÷ 37 | leaves 30 |
Questions
Is 6801 a prime number?
No, 6801 is not a prime number. It is divisible by 3: 6801 = 3 × 2267.
What is the next prime after 6801?
6803.
What is the prime number before 6801?
6793.
What are the factors of 6801?
1, 3, 2267, 6801.