Is 6704 a prime number?
No, 6704 is not a prime number. It is divisible by 2: 6704 = 2 × 3352.
Is 6704 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 √6704 ≈ 81.88. If none of them divides 6704, it is prime.
- 3
2 divides 6704 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6704 = 2^{4} \times 419 \]Testing 6704 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6704 ÷ 2 | divides exactly (3352) |
| 3 | 6704 ÷ 3 | leaves 2 |
| 5 | 6704 ÷ 5 | leaves 4 |
| 7 | 6704 ÷ 7 | leaves 5 |
| 11 | 6704 ÷ 11 | leaves 5 |
| 13 | 6704 ÷ 13 | leaves 9 |
| 17 | 6704 ÷ 17 | leaves 6 |
| 19 | 6704 ÷ 19 | leaves 16 |
| 23 | 6704 ÷ 23 | leaves 11 |
| 29 | 6704 ÷ 29 | leaves 5 |
| 31 | 6704 ÷ 31 | leaves 8 |
| 37 | 6704 ÷ 37 | leaves 7 |
Questions
Is 6704 a prime number?
No, 6704 is not a prime number. It is divisible by 2: 6704 = 2 × 3352.
What is the next prime after 6704?
6709.
What is the prime number before 6704?
6703.
What are the factors of 6704?
1, 2, 4, 8, 16, 419, 838, 1676, 3352, 6704.