Prime factorization of $$$692$$$
Your Input
Find the prime factorization of $$$692$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$692$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$692$$$ by $$${\color{green}2}$$$: $$$\frac{692}{2} = {\color{red}346}$$$.
Determine whether $$$346$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$346$$$ by $$${\color{green}2}$$$: $$$\frac{346}{2} = {\color{red}173}$$$.
The prime number $$${\color{green}173}$$$ has no other factors then $$$1$$$ and $$${\color{green}173}$$$: $$$\frac{173}{173} = {\color{red}1}$$$.
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: $$$692 = 2^{2} \cdot 173$$$.
Answer
The prime factorization is $$$692 = 2^{2} \cdot 173$$$A.