Is 3804 a prime number?
No, 3804 is not a prime number. It is divisible by 2: 3804 = 2 × 1902.
Is 3804 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 √3804 ≈ 61.68. If none of them divides 3804, it is prime.
- 3
2 divides 3804 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3804 = 2^{2} \times 3 \times 317 \]Testing 3804 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3804 ÷ 2 | divides exactly (1902) |
| 3 | 3804 ÷ 3 | divides exactly (1268) |
| 5 | 3804 ÷ 5 | leaves 4 |
| 7 | 3804 ÷ 7 | leaves 3 |
| 11 | 3804 ÷ 11 | leaves 9 |
| 13 | 3804 ÷ 13 | leaves 8 |
| 17 | 3804 ÷ 17 | leaves 13 |
| 19 | 3804 ÷ 19 | leaves 4 |
| 23 | 3804 ÷ 23 | leaves 9 |
| 29 | 3804 ÷ 29 | leaves 5 |
| 31 | 3804 ÷ 31 | leaves 22 |
| 37 | 3804 ÷ 37 | leaves 30 |
Questions
Is 3804 a prime number?
No, 3804 is not a prime number. It is divisible by 2: 3804 = 2 × 1902.
What is the next prime after 3804?
3821.
What is the prime number before 3804?
3803.
What are the factors of 3804?
1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804.