# Prime factorization of $4412$

The calculator will find the prime factorization of $4412$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the prime factorization of $4412$.

### Solution

Start with the number $2$.

Determine whether $4412$ is divisible by $2$.

It is divisible, thus, divide $4412$ by ${\color{green}2}$: $\frac{4412}{2} = {\color{red}2206}$.

Determine whether $2206$ is divisible by $2$.

It is divisible, thus, divide $2206$ by ${\color{green}2}$: $\frac{2206}{2} = {\color{red}1103}$.

The prime number ${\color{green}1103}$ has no other factors then $1$ and ${\color{green}1103}$: $\frac{1103}{1103} = {\color{red}1}$.

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: $4412 = 2^{2} \cdot 1103$.

The prime factorization is $4412 = 2^{2} \cdot 1103$A.