# Prime factorization of $3568$

The calculator will find the prime factorization of $3568$, with steps shown.

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Find the prime factorization of $3568$.

### Solution

Start with the number $2$.

Determine whether $3568$ is divisible by $2$.

It is divisible, thus, divide $3568$ by ${\color{green}2}$: $\frac{3568}{2} = {\color{red}1784}$.

Determine whether $1784$ is divisible by $2$.

It is divisible, thus, divide $1784$ by ${\color{green}2}$: $\frac{1784}{2} = {\color{red}892}$.

Determine whether $892$ is divisible by $2$.

It is divisible, thus, divide $892$ by ${\color{green}2}$: $\frac{892}{2} = {\color{red}446}$.

Determine whether $446$ is divisible by $2$.

It is divisible, thus, divide $446$ by ${\color{green}2}$: $\frac{446}{2} = {\color{red}223}$.

The prime number ${\color{green}223}$ has no other factors then $1$ and ${\color{green}223}$: $\frac{223}{223} = {\color{red}1}$.

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: $3568 = 2^{4} \cdot 223$.

The prime factorization is $3568 = 2^{4} \cdot 223$A.