Is 6804 a prime number?
No, 6804 is not a prime number. It is divisible by 2: 6804 = 2 × 3402.
Is 6804 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 √6804 ≈ 82.49. If none of them divides 6804, it is prime.
- 3
2 divides 6804 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6804 = 2^{2} \times 3^{5} \times 7 \]Testing 6804 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6804 ÷ 2 | divides exactly (3402) |
| 3 | 6804 ÷ 3 | divides exactly (2268) |
| 5 | 6804 ÷ 5 | leaves 4 |
| 7 | 6804 ÷ 7 | divides exactly (972) |
| 11 | 6804 ÷ 11 | leaves 6 |
| 13 | 6804 ÷ 13 | leaves 5 |
| 17 | 6804 ÷ 17 | leaves 4 |
| 19 | 6804 ÷ 19 | leaves 2 |
| 23 | 6804 ÷ 23 | leaves 19 |
| 29 | 6804 ÷ 29 | leaves 18 |
| 31 | 6804 ÷ 31 | leaves 15 |
| 37 | 6804 ÷ 37 | leaves 33 |
Questions
Is 6804 a prime number?
No, 6804 is not a prime number. It is divisible by 2: 6804 = 2 × 3402.
What is the next prime after 6804?
6823.
What is the prime number before 6804?
6803.
What are the factors of 6804?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804.