Is 4001 a prime number?
Yes, 4001 is a prime number. Its only factors are 1 and 4001.
Is 4001 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 √4001 ≈ 63.25. If none of them divides 4001, it is prime.
- 3
None of them divides 4001, so it is prime.
Testing 4001 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4001 ÷ 2 | leaves 1 |
| 3 | 4001 ÷ 3 | leaves 2 |
| 5 | 4001 ÷ 5 | leaves 1 |
| 7 | 4001 ÷ 7 | leaves 4 |
| 11 | 4001 ÷ 11 | leaves 8 |
| 13 | 4001 ÷ 13 | leaves 10 |
| 17 | 4001 ÷ 17 | leaves 6 |
| 19 | 4001 ÷ 19 | leaves 11 |
| 23 | 4001 ÷ 23 | leaves 22 |
| 29 | 4001 ÷ 29 | leaves 28 |
| 31 | 4001 ÷ 31 | leaves 2 |
| 37 | 4001 ÷ 37 | leaves 5 |
Questions
Is 4001 a prime number?
Yes, 4001 is a prime number. Its only factors are 1 and 4001.
What is the next prime after 4001?
4003.
What is the prime number before 4001?
3989.
What are the factors of 4001?
1, 4001.