Prime factorization of $$$1714$$$

Find the prime factorization of $$$1714$$$.

Start with the number $$$2$$$.

Determine whether $$$1714$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1714$$$ by $$${\color{green}2}$$$: $$$\frac{1714}{2} = {\color{red}857}$$$.

The prime number $$${\color{green}857}$$$ has no other factors then $$$1$$$ and $$${\color{green}857}$$$: $$$\frac{857}{857} = {\color{red}1}$$$.

Since we have obtained $$$1$$$, we are done.

Now, just count the number of occurences of the divisors (green numbers), and write down the prime factorization: $$$1714 = 2 \cdot 857$$$.

The prime factorization is $$$1714 = 2 \cdot 857$$$A.