# Prime factorization of $3028$

The calculator will find the prime factorization of $3028$, with steps shown.

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Find the prime factorization of $3028$.

### Solution

Start with the number $2$.

Determine whether $3028$ is divisible by $2$.

It is divisible, thus, divide $3028$ by ${\color{green}2}$: $\frac{3028}{2} = {\color{red}1514}$.

Determine whether $1514$ is divisible by $2$.

It is divisible, thus, divide $1514$ by ${\color{green}2}$: $\frac{1514}{2} = {\color{red}757}$.

The prime number ${\color{green}757}$ has no other factors then $1$ and ${\color{green}757}$: $\frac{757}{757} = {\color{red}1}$.

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: $3028 = 2^{2} \cdot 757$.

The prime factorization is $3028 = 2^{2} \cdot 757$A.