Is 1000 a prime number?
No, 1000 is not a prime number. It is divisible by 2: 1000 = 2 × 500.
Is 1000 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 √1000 ≈ 31.62. If none of them divides 1000, it is prime.
- 3
2 divides 1000 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1000 = 2^{3} \times 5^{3} \]Testing 1000 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1000 ÷ 2 | divides exactly (500) |
| 3 | 1000 ÷ 3 | leaves 1 |
| 5 | 1000 ÷ 5 | divides exactly (200) |
| 7 | 1000 ÷ 7 | leaves 6 |
| 11 | 1000 ÷ 11 | leaves 10 |
| 13 | 1000 ÷ 13 | leaves 12 |
| 17 | 1000 ÷ 17 | leaves 14 |
| 19 | 1000 ÷ 19 | leaves 12 |
| 23 | 1000 ÷ 23 | leaves 11 |
| 29 | 1000 ÷ 29 | leaves 14 |
| 31 | 1000 ÷ 31 | leaves 8 |
Questions
Is 1000 a prime number?
No, 1000 is not a prime number. It is divisible by 2: 1000 = 2 × 500.
What is the next prime after 1000?
1009.
What is the prime number before 1000?
997.
What are the factors of 1000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000.