# Prime factorization of $4432$

The calculator will find the prime factorization of $4432$, with steps shown.

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Find the prime factorization of $4432$.

### Solution

Start with the number $2$.

Determine whether $4432$ is divisible by $2$.

It is divisible, thus, divide $4432$ by ${\color{green}2}$: $\frac{4432}{2} = {\color{red}2216}$.

Determine whether $2216$ is divisible by $2$.

It is divisible, thus, divide $2216$ by ${\color{green}2}$: $\frac{2216}{2} = {\color{red}1108}$.

Determine whether $1108$ is divisible by $2$.

It is divisible, thus, divide $1108$ by ${\color{green}2}$: $\frac{1108}{2} = {\color{red}554}$.

Determine whether $554$ is divisible by $2$.

It is divisible, thus, divide $554$ by ${\color{green}2}$: $\frac{554}{2} = {\color{red}277}$.

The prime number ${\color{green}277}$ has no other factors then $1$ and ${\color{green}277}$: $\frac{277}{277} = {\color{red}1}$.

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: $4432 = 2^{4} \cdot 277$.

The prime factorization is $4432 = 2^{4} \cdot 277$A.