Is 3427 a prime number?
No, 3427 is not a prime number. It is divisible by 23: 3427 = 23 × 149.
Is 3427 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 √3427 ≈ 58.54. If none of them divides 3427, it is prime.
- 3
23 divides 3427 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3427 = 23 \times 149 \]
Testing 3427 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3427 ÷ 2 | leaves 1 |
| 3 | 3427 ÷ 3 | leaves 1 |
| 5 | 3427 ÷ 5 | leaves 2 |
| 7 | 3427 ÷ 7 | leaves 4 |
| 11 | 3427 ÷ 11 | leaves 6 |
| 13 | 3427 ÷ 13 | leaves 8 |
| 17 | 3427 ÷ 17 | leaves 10 |
| 19 | 3427 ÷ 19 | leaves 7 |
| 23 | 3427 ÷ 23 | divides exactly (149) |
| 29 | 3427 ÷ 29 | leaves 5 |
| 31 | 3427 ÷ 31 | leaves 17 |
| 37 | 3427 ÷ 37 | leaves 23 |
Questions
Is 3427 a prime number?
No, 3427 is not a prime number. It is divisible by 23: 3427 = 23 × 149.
What is the next prime after 3427?
3433.
What is the prime number before 3427?
3413.
What are the factors of 3427?
1, 23, 149, 3427.