Is 2001 a prime number?
No, 2001 is not a prime number. It is divisible by 3: 2001 = 3 × 667.
Is 2001 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 √2001 ≈ 44.73. If none of them divides 2001, it is prime.
- 3
3 divides 2001 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2001 = 3 \times 23 \times 29 \]
Testing 2001 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2001 ÷ 2 | leaves 1 |
| 3 | 2001 ÷ 3 | divides exactly (667) |
| 5 | 2001 ÷ 5 | leaves 1 |
| 7 | 2001 ÷ 7 | leaves 6 |
| 11 | 2001 ÷ 11 | leaves 10 |
| 13 | 2001 ÷ 13 | leaves 12 |
| 17 | 2001 ÷ 17 | leaves 12 |
| 19 | 2001 ÷ 19 | leaves 6 |
| 23 | 2001 ÷ 23 | divides exactly (87) |
| 29 | 2001 ÷ 29 | divides exactly (69) |
| 31 | 2001 ÷ 31 | leaves 17 |
| 37 | 2001 ÷ 37 | leaves 3 |
Questions
Is 2001 a prime number?
No, 2001 is not a prime number. It is divisible by 3: 2001 = 3 × 667.
What is the next prime after 2001?
2003.
What is the prime number before 2001?
1999.
What are the factors of 2001?
1, 3, 23, 29, 69, 87, 667, 2001.