Is 8983 a prime number?
No, 8983 is not a prime number. It is divisible by 13: 8983 = 13 × 691.
Is 8983 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 √8983 ≈ 94.78. If none of them divides 8983, it is prime.
- 3
13 divides 8983 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8983 = 13 \times 691 \]
Testing 8983 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8983 ÷ 2 | leaves 1 |
| 3 | 8983 ÷ 3 | leaves 1 |
| 5 | 8983 ÷ 5 | leaves 3 |
| 7 | 8983 ÷ 7 | leaves 2 |
| 11 | 8983 ÷ 11 | leaves 7 |
| 13 | 8983 ÷ 13 | divides exactly (691) |
| 17 | 8983 ÷ 17 | leaves 7 |
| 19 | 8983 ÷ 19 | leaves 15 |
| 23 | 8983 ÷ 23 | leaves 13 |
| 29 | 8983 ÷ 29 | leaves 22 |
| 31 | 8983 ÷ 31 | leaves 24 |
| 37 | 8983 ÷ 37 | leaves 29 |
Questions
Is 8983 a prime number?
No, 8983 is not a prime number. It is divisible by 13: 8983 = 13 × 691.
What is the next prime after 8983?
8999.
What is the prime number before 8983?
8971.
What are the factors of 8983?
1, 13, 691, 8983.