Is 7997 a prime number?
No, 7997 is not a prime number. It is divisible by 11: 7997 = 11 × 727.
Is 7997 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 √7997 ≈ 89.43. If none of them divides 7997, it is prime.
- 3
11 divides 7997 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7997 = 11 \times 727 \]
Testing 7997 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7997 ÷ 2 | leaves 1 |
| 3 | 7997 ÷ 3 | leaves 2 |
| 5 | 7997 ÷ 5 | leaves 2 |
| 7 | 7997 ÷ 7 | leaves 3 |
| 11 | 7997 ÷ 11 | divides exactly (727) |
| 13 | 7997 ÷ 13 | leaves 2 |
| 17 | 7997 ÷ 17 | leaves 7 |
| 19 | 7997 ÷ 19 | leaves 17 |
| 23 | 7997 ÷ 23 | leaves 16 |
| 29 | 7997 ÷ 29 | leaves 22 |
| 31 | 7997 ÷ 31 | leaves 30 |
| 37 | 7997 ÷ 37 | leaves 5 |
Questions
Is 7997 a prime number?
No, 7997 is not a prime number. It is divisible by 11: 7997 = 11 × 727.
What is the next prime after 7997?
8009.
What is the prime number before 7997?
7993.
What are the factors of 7997?
1, 11, 727, 7997.