Is 2000 a prime number?
No, 2000 is not a prime number. It is divisible by 2: 2000 = 2 × 1000.
Is 2000 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 √2000 ≈ 44.72. If none of them divides 2000, it is prime.
- 3
2 divides 2000 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2000 = 2^{4} \times 5^{3} \]Testing 2000 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2000 ÷ 2 | divides exactly (1000) |
| 3 | 2000 ÷ 3 | leaves 2 |
| 5 | 2000 ÷ 5 | divides exactly (400) |
| 7 | 2000 ÷ 7 | leaves 5 |
| 11 | 2000 ÷ 11 | leaves 9 |
| 13 | 2000 ÷ 13 | leaves 11 |
| 17 | 2000 ÷ 17 | leaves 11 |
| 19 | 2000 ÷ 19 | leaves 5 |
| 23 | 2000 ÷ 23 | leaves 22 |
| 29 | 2000 ÷ 29 | leaves 28 |
| 31 | 2000 ÷ 31 | leaves 16 |
| 37 | 2000 ÷ 37 | leaves 2 |
Questions
Is 2000 a prime number?
No, 2000 is not a prime number. It is divisible by 2: 2000 = 2 × 1000.
What is the next prime after 2000?
2003.
What is the prime number before 2000?
1999.
What are the factors of 2000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000.