Is 993 a prime number?
No, 993 is not a prime number. It is divisible by 3: 993 = 3 × 331.
Is 993 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 √993 ≈ 31.51. If none of them divides 993, it is prime.
- 3
3 divides 993 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 993 = 3 \times 331 \]
Testing 993 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 993 ÷ 2 | leaves 1 |
| 3 | 993 ÷ 3 | divides exactly (331) |
| 5 | 993 ÷ 5 | leaves 3 |
| 7 | 993 ÷ 7 | leaves 6 |
| 11 | 993 ÷ 11 | leaves 3 |
| 13 | 993 ÷ 13 | leaves 5 |
| 17 | 993 ÷ 17 | leaves 7 |
| 19 | 993 ÷ 19 | leaves 5 |
| 23 | 993 ÷ 23 | leaves 4 |
| 29 | 993 ÷ 29 | leaves 7 |
| 31 | 993 ÷ 31 | leaves 1 |
Questions
Is 993 a prime number?
No, 993 is not a prime number. It is divisible by 3: 993 = 3 × 331.
What is the next prime after 993?
997.
What is the prime number before 993?
991.
What are the factors of 993?
1, 3, 331, 993.