# Prime factorization of $4552$

The calculator will find the prime factorization of $4552$, with steps shown.

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Find the prime factorization of $4552$.

### Solution

Start with the number $2$.

Determine whether $4552$ is divisible by $2$.

It is divisible, thus, divide $4552$ by ${\color{green}2}$: $\frac{4552}{2} = {\color{red}2276}$.

Determine whether $2276$ is divisible by $2$.

It is divisible, thus, divide $2276$ by ${\color{green}2}$: $\frac{2276}{2} = {\color{red}1138}$.

Determine whether $1138$ is divisible by $2$.

It is divisible, thus, divide $1138$ by ${\color{green}2}$: $\frac{1138}{2} = {\color{red}569}$.

The prime number ${\color{green}569}$ has no other factors then $1$ and ${\color{green}569}$: $\frac{569}{569} = {\color{red}1}$.

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: $4552 = 2^{3} \cdot 569$.

The prime factorization is $4552 = 2^{3} \cdot 569$A.