Is 3997 a prime number?
No, 3997 is not a prime number. It is divisible by 7: 3997 = 7 × 571.
Is 3997 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 √3997 ≈ 63.22. If none of them divides 3997, it is prime.
- 3
7 divides 3997 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3997 = 7 \times 571 \]
Testing 3997 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3997 ÷ 2 | leaves 1 |
| 3 | 3997 ÷ 3 | leaves 1 |
| 5 | 3997 ÷ 5 | leaves 2 |
| 7 | 3997 ÷ 7 | divides exactly (571) |
| 11 | 3997 ÷ 11 | leaves 4 |
| 13 | 3997 ÷ 13 | leaves 6 |
| 17 | 3997 ÷ 17 | leaves 2 |
| 19 | 3997 ÷ 19 | leaves 7 |
| 23 | 3997 ÷ 23 | leaves 18 |
| 29 | 3997 ÷ 29 | leaves 24 |
| 31 | 3997 ÷ 31 | leaves 29 |
| 37 | 3997 ÷ 37 | leaves 1 |
Questions
Is 3997 a prime number?
No, 3997 is not a prime number. It is divisible by 7: 3997 = 7 × 571.
What is the next prime after 3997?
4001.
What is the prime number before 3997?
3989.
What are the factors of 3997?
1, 7, 571, 3997.