Prime factorization of $$$4062$$$

Find the prime factorization of $$$4062$$$.

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

Determine whether $$$4062$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$4062$$$ by $$${\color{green}2}$$$: $$$\frac{4062}{2} = {\color{red}2031}$$$.

Determine whether $$$2031$$$ is divisible by $$$2$$$.

Since it is not divisible, move to the next prime number.

The next prime number is $$$3$$$.

Determine whether $$$2031$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$2031$$$ by $$${\color{green}3}$$$: $$$\frac{2031}{3} = {\color{red}677}$$$.

The prime number $$${\color{green}677}$$$ has no other factors then $$$1$$$ and $$${\color{green}677}$$$: $$$\frac{677}{677} = {\color{red}1}$$$.

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: $$$4062 = 2 \cdot 3 \cdot 677$$$.

The prime factorization is $$$4062 = 2 \cdot 3 \cdot 677$$$A.