Prime factorization of $$$706$$$

Find the prime factorization of $$$706$$$.

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

Determine whether $$$706$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$706$$$ by $$${\color{green}2}$$$: $$$\frac{706}{2} = {\color{red}353}$$$.

The prime number $$${\color{green}353}$$$ has no other factors then $$$1$$$ and $$${\color{green}353}$$$: $$$\frac{353}{353} = {\color{red}1}$$$.

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: $$$706 = 2 \cdot 353$$$.

The prime factorization is $$$706 = 2 \cdot 353$$$A.