Is 3304 a prime number?
No, 3304 is not a prime number. It is divisible by 2: 3304 = 2 × 1652.
Is 3304 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 √3304 ≈ 57.48. If none of them divides 3304, it is prime.
- 3
2 divides 3304 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3304 = 2^{3} \times 7 \times 59 \]Testing 3304 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3304 ÷ 2 | divides exactly (1652) |
| 3 | 3304 ÷ 3 | leaves 1 |
| 5 | 3304 ÷ 5 | leaves 4 |
| 7 | 3304 ÷ 7 | divides exactly (472) |
| 11 | 3304 ÷ 11 | leaves 4 |
| 13 | 3304 ÷ 13 | leaves 2 |
| 17 | 3304 ÷ 17 | leaves 6 |
| 19 | 3304 ÷ 19 | leaves 17 |
| 23 | 3304 ÷ 23 | leaves 15 |
| 29 | 3304 ÷ 29 | leaves 27 |
| 31 | 3304 ÷ 31 | leaves 18 |
| 37 | 3304 ÷ 37 | leaves 11 |
Questions
Is 3304 a prime number?
No, 3304 is not a prime number. It is divisible by 2: 3304 = 2 × 1652.
What is the next prime after 3304?
3307.
What is the prime number before 3304?
3301.
What are the factors of 3304?
1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304.