Is 6748 a prime number?
No, 6748 is not a prime number. It is divisible by 2: 6748 = 2 × 3374.
Is 6748 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 √6748 ≈ 82.15. If none of them divides 6748, it is prime.
- 3
2 divides 6748 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6748 = 2^{2} \times 7 \times 241 \]Testing 6748 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6748 ÷ 2 | divides exactly (3374) |
| 3 | 6748 ÷ 3 | leaves 1 |
| 5 | 6748 ÷ 5 | leaves 3 |
| 7 | 6748 ÷ 7 | divides exactly (964) |
| 11 | 6748 ÷ 11 | leaves 5 |
| 13 | 6748 ÷ 13 | leaves 1 |
| 17 | 6748 ÷ 17 | leaves 16 |
| 19 | 6748 ÷ 19 | leaves 3 |
| 23 | 6748 ÷ 23 | leaves 9 |
| 29 | 6748 ÷ 29 | leaves 20 |
| 31 | 6748 ÷ 31 | leaves 21 |
| 37 | 6748 ÷ 37 | leaves 14 |
Questions
Is 6748 a prime number?
No, 6748 is not a prime number. It is divisible by 2: 6748 = 2 × 3374.
What is the next prime after 6748?
6761.
What is the prime number before 6748?
6737.
What are the factors of 6748?
1, 2, 4, 7, 14, 28, 241, 482, 964, 1687, 3374, 6748.