Is 9993 a prime number?
No, 9993 is not a prime number. It is divisible by 3: 9993 = 3 × 3331.
Is 9993 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 √9993 ≈ 99.96. If none of them divides 9993, it is prime.
- 3
3 divides 9993 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9993 = 3 \times 3331 \]
Testing 9993 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9993 ÷ 2 | leaves 1 |
| 3 | 9993 ÷ 3 | divides exactly (3331) |
| 5 | 9993 ÷ 5 | leaves 3 |
| 7 | 9993 ÷ 7 | leaves 4 |
| 11 | 9993 ÷ 11 | leaves 5 |
| 13 | 9993 ÷ 13 | leaves 9 |
| 17 | 9993 ÷ 17 | leaves 14 |
| 19 | 9993 ÷ 19 | leaves 18 |
| 23 | 9993 ÷ 23 | leaves 11 |
| 29 | 9993 ÷ 29 | leaves 17 |
| 31 | 9993 ÷ 31 | leaves 11 |
| 37 | 9993 ÷ 37 | leaves 3 |
Questions
Is 9993 a prime number?
No, 9993 is not a prime number. It is divisible by 3: 9993 = 3 × 3331.
What is the next prime after 9993?
10007.
What is the prime number before 9993?
9973.
What are the factors of 9993?
1, 3, 3331, 9993.