Is 6721 a prime number?
No, 6721 is not a prime number. It is divisible by 11: 6721 = 11 × 611.
Is 6721 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 √6721 ≈ 81.98. If none of them divides 6721, it is prime.
- 3
11 divides 6721 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6721 = 11 \times 13 \times 47 \]
Testing 6721 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6721 ÷ 2 | leaves 1 |
| 3 | 6721 ÷ 3 | leaves 1 |
| 5 | 6721 ÷ 5 | leaves 1 |
| 7 | 6721 ÷ 7 | leaves 1 |
| 11 | 6721 ÷ 11 | divides exactly (611) |
| 13 | 6721 ÷ 13 | divides exactly (517) |
| 17 | 6721 ÷ 17 | leaves 6 |
| 19 | 6721 ÷ 19 | leaves 14 |
| 23 | 6721 ÷ 23 | leaves 5 |
| 29 | 6721 ÷ 29 | leaves 22 |
| 31 | 6721 ÷ 31 | leaves 25 |
| 37 | 6721 ÷ 37 | leaves 24 |
Questions
Is 6721 a prime number?
No, 6721 is not a prime number. It is divisible by 11: 6721 = 11 × 611.
What is the next prime after 6721?
6733.
What is the prime number before 6721?
6719.
What are the factors of 6721?
1, 11, 13, 47, 143, 517, 611, 6721.