Is 1804 a prime number?
No, 1804 is not a prime number. It is divisible by 2: 1804 = 2 × 902.
Is 1804 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 √1804 ≈ 42.47. If none of them divides 1804, it is prime.
- 3
2 divides 1804 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1804 = 2^{2} \times 11 \times 41 \]Testing 1804 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1804 ÷ 2 | divides exactly (902) |
| 3 | 1804 ÷ 3 | leaves 1 |
| 5 | 1804 ÷ 5 | leaves 4 |
| 7 | 1804 ÷ 7 | leaves 5 |
| 11 | 1804 ÷ 11 | divides exactly (164) |
| 13 | 1804 ÷ 13 | leaves 10 |
| 17 | 1804 ÷ 17 | leaves 2 |
| 19 | 1804 ÷ 19 | leaves 18 |
| 23 | 1804 ÷ 23 | leaves 10 |
| 29 | 1804 ÷ 29 | leaves 6 |
| 31 | 1804 ÷ 31 | leaves 6 |
| 37 | 1804 ÷ 37 | leaves 28 |
Questions
Is 1804 a prime number?
No, 1804 is not a prime number. It is divisible by 2: 1804 = 2 × 902.
What is the next prime after 1804?
1811.
What is the prime number before 1804?
1801.
What are the factors of 1804?
1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804.