Is 7987 a prime number?
No, 7987 is not a prime number. It is divisible by 7: 7987 = 7 × 1141.
Is 7987 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 √7987 ≈ 89.37. If none of them divides 7987, it is prime.
- 3
7 divides 7987 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7987 = 7^{2} \times 163 \]Testing 7987 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7987 ÷ 2 | leaves 1 |
| 3 | 7987 ÷ 3 | leaves 1 |
| 5 | 7987 ÷ 5 | leaves 2 |
| 7 | 7987 ÷ 7 | divides exactly (1141) |
| 11 | 7987 ÷ 11 | leaves 1 |
| 13 | 7987 ÷ 13 | leaves 5 |
| 17 | 7987 ÷ 17 | leaves 14 |
| 19 | 7987 ÷ 19 | leaves 7 |
| 23 | 7987 ÷ 23 | leaves 6 |
| 29 | 7987 ÷ 29 | leaves 12 |
| 31 | 7987 ÷ 31 | leaves 20 |
| 37 | 7987 ÷ 37 | leaves 32 |
Questions
Is 7987 a prime number?
No, 7987 is not a prime number. It is divisible by 7: 7987 = 7 × 1141.
What is the next prime after 7987?
7993.
What is the prime number before 7987?
7963.
What are the factors of 7987?
1, 7, 49, 163, 1141, 7987.