Is 6789 a prime number?
No, 6789 is not a prime number. It is divisible by 3: 6789 = 3 × 2263.
Is 6789 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 √6789 ≈ 82.40. If none of them divides 6789, it is prime.
- 3
3 divides 6789 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6789 = 3 \times 31 \times 73 \]
Testing 6789 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6789 ÷ 2 | leaves 1 |
| 3 | 6789 ÷ 3 | divides exactly (2263) |
| 5 | 6789 ÷ 5 | leaves 4 |
| 7 | 6789 ÷ 7 | leaves 6 |
| 11 | 6789 ÷ 11 | leaves 2 |
| 13 | 6789 ÷ 13 | leaves 3 |
| 17 | 6789 ÷ 17 | leaves 6 |
| 19 | 6789 ÷ 19 | leaves 6 |
| 23 | 6789 ÷ 23 | leaves 4 |
| 29 | 6789 ÷ 29 | leaves 3 |
| 31 | 6789 ÷ 31 | divides exactly (219) |
| 37 | 6789 ÷ 37 | leaves 18 |
Questions
Is 6789 a prime number?
No, 6789 is not a prime number. It is divisible by 3: 6789 = 3 × 2263.
What is the next prime after 6789?
6791.
What is the prime number before 6789?
6781.
What are the factors of 6789?
1, 3, 31, 73, 93, 219, 2263, 6789.