Is 3404 a prime number?
No, 3404 is not a prime number. It is divisible by 2: 3404 = 2 × 1702.
Is 3404 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 √3404 ≈ 58.34. If none of them divides 3404, it is prime.
- 3
2 divides 3404 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3404 = 2^{2} \times 23 \times 37 \]Testing 3404 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3404 ÷ 2 | divides exactly (1702) |
| 3 | 3404 ÷ 3 | leaves 2 |
| 5 | 3404 ÷ 5 | leaves 4 |
| 7 | 3404 ÷ 7 | leaves 2 |
| 11 | 3404 ÷ 11 | leaves 5 |
| 13 | 3404 ÷ 13 | leaves 11 |
| 17 | 3404 ÷ 17 | leaves 4 |
| 19 | 3404 ÷ 19 | leaves 3 |
| 23 | 3404 ÷ 23 | divides exactly (148) |
| 29 | 3404 ÷ 29 | leaves 11 |
| 31 | 3404 ÷ 31 | leaves 25 |
| 37 | 3404 ÷ 37 | divides exactly (92) |
Questions
Is 3404 a prime number?
No, 3404 is not a prime number. It is divisible by 2: 3404 = 2 × 1702.
What is the next prime after 3404?
3407.
What is the prime number before 3404?
3391.
What are the factors of 3404?
1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404.