Prime factorization of $$$4714$$$

Find the prime factorization of $$$4714$$$.

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

Determine whether $$$4714$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4714$$$ by $$${\color{green}2}$$$: $$$\frac{4714}{2} = {\color{red}2357}$$$.

The prime number $$${\color{green}2357}$$$ has no other factors then $$$1$$$ and $$${\color{green}2357}$$$: $$$\frac{2357}{2357} = {\color{red}1}$$$.

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: $$$4714 = 2 \cdot 2357$$$.

The prime factorization is $$$4714 = 2 \cdot 2357$$$A.