Is 3995 a prime number?
No, 3995 is not a prime number. It is divisible by 5: 3995 = 5 × 799.
Is 3995 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 √3995 ≈ 63.21. If none of them divides 3995, it is prime.
- 3
5 divides 3995 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3995 = 5 \times 17 \times 47 \]
Testing 3995 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3995 ÷ 2 | leaves 1 |
| 3 | 3995 ÷ 3 | leaves 2 |
| 5 | 3995 ÷ 5 | divides exactly (799) |
| 7 | 3995 ÷ 7 | leaves 5 |
| 11 | 3995 ÷ 11 | leaves 2 |
| 13 | 3995 ÷ 13 | leaves 4 |
| 17 | 3995 ÷ 17 | divides exactly (235) |
| 19 | 3995 ÷ 19 | leaves 5 |
| 23 | 3995 ÷ 23 | leaves 16 |
| 29 | 3995 ÷ 29 | leaves 22 |
| 31 | 3995 ÷ 31 | leaves 27 |
| 37 | 3995 ÷ 37 | leaves 36 |
Questions
Is 3995 a prime number?
No, 3995 is not a prime number. It is divisible by 5: 3995 = 5 × 799.
What is the next prime after 3995?
4001.
What is the prime number before 3995?
3989.
What are the factors of 3995?
1, 5, 17, 47, 85, 235, 799, 3995.