Is 3431 a prime number?
No, 3431 is not a prime number. It is divisible by 47: 3431 = 47 × 73.
Is 3431 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 √3431 ≈ 58.57. If none of them divides 3431, it is prime.
- 3
47 divides 3431 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3431 = 47 \times 73 \]
Testing 3431 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3431 ÷ 2 | leaves 1 |
| 3 | 3431 ÷ 3 | leaves 2 |
| 5 | 3431 ÷ 5 | leaves 1 |
| 7 | 3431 ÷ 7 | leaves 1 |
| 11 | 3431 ÷ 11 | leaves 10 |
| 13 | 3431 ÷ 13 | leaves 12 |
| 17 | 3431 ÷ 17 | leaves 14 |
| 19 | 3431 ÷ 19 | leaves 11 |
| 23 | 3431 ÷ 23 | leaves 4 |
| 29 | 3431 ÷ 29 | leaves 9 |
| 31 | 3431 ÷ 31 | leaves 21 |
| 37 | 3431 ÷ 37 | leaves 27 |
Questions
Is 3431 a prime number?
No, 3431 is not a prime number. It is divisible by 47: 3431 = 47 × 73.
What is the next prime after 3431?
3433.
What is the prime number before 3431?
3413.
What are the factors of 3431?
1, 47, 73, 3431.