# Prime factorization of $2224$

The calculator will find the prime factorization of $2224$, with steps shown.

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Find the prime factorization of $2224$.

### Solution

Start with the number $2$.

Determine whether $2224$ is divisible by $2$.

It is divisible, thus, divide $2224$ by ${\color{green}2}$: $\frac{2224}{2} = {\color{red}1112}$.

Determine whether $1112$ is divisible by $2$.

It is divisible, thus, divide $1112$ by ${\color{green}2}$: $\frac{1112}{2} = {\color{red}556}$.

Determine whether $556$ is divisible by $2$.

It is divisible, thus, divide $556$ by ${\color{green}2}$: $\frac{556}{2} = {\color{red}278}$.

Determine whether $278$ is divisible by $2$.

It is divisible, thus, divide $278$ by ${\color{green}2}$: $\frac{278}{2} = {\color{red}139}$.

The prime number ${\color{green}139}$ has no other factors then $1$ and ${\color{green}139}$: $\frac{139}{139} = {\color{red}1}$.

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: $2224 = 2^{4} \cdot 139$.

The prime factorization is $2224 = 2^{4} \cdot 139$A.