Is 6993 a prime number?
No, 6993 is not a prime number. It is divisible by 3: 6993 = 3 × 2331.
Is 6993 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 √6993 ≈ 83.62. If none of them divides 6993, it is prime.
- 3
3 divides 6993 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 6993 = 3^{3} \times 7 \times 37 \]Testing 6993 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 6993 ÷ 2 | leaves 1 |
| 3 | 6993 ÷ 3 | divides exactly (2331) |
| 5 | 6993 ÷ 5 | leaves 3 |
| 7 | 6993 ÷ 7 | divides exactly (999) |
| 11 | 6993 ÷ 11 | leaves 8 |
| 13 | 6993 ÷ 13 | leaves 12 |
| 17 | 6993 ÷ 17 | leaves 6 |
| 19 | 6993 ÷ 19 | leaves 1 |
| 23 | 6993 ÷ 23 | leaves 1 |
| 29 | 6993 ÷ 29 | leaves 4 |
| 31 | 6993 ÷ 31 | leaves 18 |
| 37 | 6993 ÷ 37 | divides exactly (189) |
Questions
Is 6993 a prime number?
No, 6993 is not a prime number. It is divisible by 3: 6993 = 3 × 2331.
What is the next prime after 6993?
6997.
What is the prime number before 6993?
6991.
What are the factors of 6993?
1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993.