# Prime factorization of $4062$

The calculator will find the prime factorization of $4062$, with steps shown.

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Find the prime factorization of $4062$.

### Solution

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.