Is 8987 a prime number?
No, 8987 is not a prime number. It is divisible by 11: 8987 = 11 × 817.
Is 8987 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 √8987 ≈ 94.80. If none of them divides 8987, it is prime.
- 3
11 divides 8987 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8987 = 11 \times 19 \times 43 \]
Testing 8987 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8987 ÷ 2 | leaves 1 |
| 3 | 8987 ÷ 3 | leaves 2 |
| 5 | 8987 ÷ 5 | leaves 2 |
| 7 | 8987 ÷ 7 | leaves 6 |
| 11 | 8987 ÷ 11 | divides exactly (817) |
| 13 | 8987 ÷ 13 | leaves 4 |
| 17 | 8987 ÷ 17 | leaves 11 |
| 19 | 8987 ÷ 19 | divides exactly (473) |
| 23 | 8987 ÷ 23 | leaves 17 |
| 29 | 8987 ÷ 29 | leaves 26 |
| 31 | 8987 ÷ 31 | leaves 28 |
| 37 | 8987 ÷ 37 | leaves 33 |
Questions
Is 8987 a prime number?
No, 8987 is not a prime number. It is divisible by 11: 8987 = 11 × 817.
What is the next prime after 8987?
8999.
What is the prime number before 8987?
8971.
What are the factors of 8987?
1, 11, 19, 43, 209, 473, 817, 8987.