Is 3401 a prime number?
No, 3401 is not a prime number. It is divisible by 19: 3401 = 19 × 179.
Is 3401 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 √3401 ≈ 58.32. If none of them divides 3401, it is prime.
- 3
19 divides 3401 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3401 = 19 \times 179 \]
Testing 3401 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3401 ÷ 2 | leaves 1 |
| 3 | 3401 ÷ 3 | leaves 2 |
| 5 | 3401 ÷ 5 | leaves 1 |
| 7 | 3401 ÷ 7 | leaves 6 |
| 11 | 3401 ÷ 11 | leaves 2 |
| 13 | 3401 ÷ 13 | leaves 8 |
| 17 | 3401 ÷ 17 | leaves 1 |
| 19 | 3401 ÷ 19 | divides exactly (179) |
| 23 | 3401 ÷ 23 | leaves 20 |
| 29 | 3401 ÷ 29 | leaves 8 |
| 31 | 3401 ÷ 31 | leaves 22 |
| 37 | 3401 ÷ 37 | leaves 34 |
Questions
Is 3401 a prime number?
No, 3401 is not a prime number. It is divisible by 19: 3401 = 19 × 179.
What is the next prime after 3401?
3407.
What is the prime number before 3401?
3391.
What are the factors of 3401?
1, 19, 179, 3401.