Is 3704 a prime number?
No, 3704 is not a prime number. It is divisible by 2: 3704 = 2 × 1852.
Is 3704 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 √3704 ≈ 60.86. If none of them divides 3704, it is prime.
- 3
2 divides 3704 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3704 = 2^{3} \times 463 \]Testing 3704 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3704 ÷ 2 | divides exactly (1852) |
| 3 | 3704 ÷ 3 | leaves 2 |
| 5 | 3704 ÷ 5 | leaves 4 |
| 7 | 3704 ÷ 7 | leaves 1 |
| 11 | 3704 ÷ 11 | leaves 8 |
| 13 | 3704 ÷ 13 | leaves 12 |
| 17 | 3704 ÷ 17 | leaves 15 |
| 19 | 3704 ÷ 19 | leaves 18 |
| 23 | 3704 ÷ 23 | leaves 1 |
| 29 | 3704 ÷ 29 | leaves 21 |
| 31 | 3704 ÷ 31 | leaves 15 |
| 37 | 3704 ÷ 37 | leaves 4 |
Questions
Is 3704 a prime number?
No, 3704 is not a prime number. It is divisible by 2: 3704 = 2 × 1852.
What is the next prime after 3704?
3709.
What is the prime number before 3704?
3701.
What are the factors of 3704?
1, 2, 4, 8, 463, 926, 1852, 3704.