Is 3421 a prime number?
No, 3421 is not a prime number. It is divisible by 11: 3421 = 11 × 311.
Is 3421 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 √3421 ≈ 58.49. If none of them divides 3421, it is prime.
- 3
11 divides 3421 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3421 = 11 \times 311 \]
Testing 3421 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3421 ÷ 2 | leaves 1 |
| 3 | 3421 ÷ 3 | leaves 1 |
| 5 | 3421 ÷ 5 | leaves 1 |
| 7 | 3421 ÷ 7 | leaves 5 |
| 11 | 3421 ÷ 11 | divides exactly (311) |
| 13 | 3421 ÷ 13 | leaves 2 |
| 17 | 3421 ÷ 17 | leaves 4 |
| 19 | 3421 ÷ 19 | leaves 1 |
| 23 | 3421 ÷ 23 | leaves 17 |
| 29 | 3421 ÷ 29 | leaves 28 |
| 31 | 3421 ÷ 31 | leaves 11 |
| 37 | 3421 ÷ 37 | leaves 17 |
Questions
Is 3421 a prime number?
No, 3421 is not a prime number. It is divisible by 11: 3421 = 11 × 311.
What is the next prime after 3421?
3433.
What is the prime number before 3421?
3413.
What are the factors of 3421?
1, 11, 311, 3421.