# Prime factorization of $2228$

The calculator will find the prime factorization of $2228$, with steps shown.

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Find the prime factorization of $2228$.

### Solution

Start with the number $2$.

Determine whether $2228$ is divisible by $2$.

It is divisible, thus, divide $2228$ by ${\color{green}2}$: $\frac{2228}{2} = {\color{red}1114}$.

Determine whether $1114$ is divisible by $2$.

It is divisible, thus, divide $1114$ by ${\color{green}2}$: $\frac{1114}{2} = {\color{red}557}$.

The prime number ${\color{green}557}$ has no other factors then $1$ and ${\color{green}557}$: $\frac{557}{557} = {\color{red}1}$.

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: $2228 = 2^{2} \cdot 557$.

The prime factorization is $2228 = 2^{2} \cdot 557$A.