Is 8993 a prime number?
No, 8993 is not a prime number. It is divisible by 17: 8993 = 17 × 529.
Is 8993 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 √8993 ≈ 94.83. If none of them divides 8993, it is prime.
- 3
17 divides 8993 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8993 = 17 \times 23^{2} \]Testing 8993 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8993 ÷ 2 | leaves 1 |
| 3 | 8993 ÷ 3 | leaves 2 |
| 5 | 8993 ÷ 5 | leaves 3 |
| 7 | 8993 ÷ 7 | leaves 5 |
| 11 | 8993 ÷ 11 | leaves 6 |
| 13 | 8993 ÷ 13 | leaves 10 |
| 17 | 8993 ÷ 17 | divides exactly (529) |
| 19 | 8993 ÷ 19 | leaves 6 |
| 23 | 8993 ÷ 23 | divides exactly (391) |
| 29 | 8993 ÷ 29 | leaves 3 |
| 31 | 8993 ÷ 31 | leaves 3 |
| 37 | 8993 ÷ 37 | leaves 2 |
Questions
Is 8993 a prime number?
No, 8993 is not a prime number. It is divisible by 17: 8993 = 17 × 529.
What is the next prime after 8993?
8999.
What is the prime number before 8993?
8971.
What are the factors of 8993?
1, 17, 23, 391, 529, 8993.