Is 1800 a prime number?
No, 1800 is not a prime number. It is divisible by 2: 1800 = 2 × 900.
Is 1800 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 √1800 ≈ 42.43. If none of them divides 1800, it is prime.
- 3
2 divides 1800 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1800 = 2^{3} \times 3^{2} \times 5^{2} \]Testing 1800 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1800 ÷ 2 | divides exactly (900) |
| 3 | 1800 ÷ 3 | divides exactly (600) |
| 5 | 1800 ÷ 5 | divides exactly (360) |
| 7 | 1800 ÷ 7 | leaves 1 |
| 11 | 1800 ÷ 11 | leaves 7 |
| 13 | 1800 ÷ 13 | leaves 6 |
| 17 | 1800 ÷ 17 | leaves 15 |
| 19 | 1800 ÷ 19 | leaves 14 |
| 23 | 1800 ÷ 23 | leaves 6 |
| 29 | 1800 ÷ 29 | leaves 2 |
| 31 | 1800 ÷ 31 | leaves 2 |
| 37 | 1800 ÷ 37 | leaves 24 |
Questions
Is 1800 a prime number?
No, 1800 is not a prime number. It is divisible by 2: 1800 = 2 × 900.
What is the next prime after 1800?
1801.
What is the prime number before 1800?
1789.
What are the factors of 1800?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800.