# Prime factorization of $3728$

The calculator will find the prime factorization of $3728$, with steps shown.

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Find the prime factorization of $3728$.

### Solution

Start with the number $2$.

Determine whether $3728$ is divisible by $2$.

It is divisible, thus, divide $3728$ by ${\color{green}2}$: $\frac{3728}{2} = {\color{red}1864}$.

Determine whether $1864$ is divisible by $2$.

It is divisible, thus, divide $1864$ by ${\color{green}2}$: $\frac{1864}{2} = {\color{red}932}$.

Determine whether $932$ is divisible by $2$.

It is divisible, thus, divide $932$ by ${\color{green}2}$: $\frac{932}{2} = {\color{red}466}$.

Determine whether $466$ is divisible by $2$.

It is divisible, thus, divide $466$ by ${\color{green}2}$: $\frac{466}{2} = {\color{red}233}$.

The prime number ${\color{green}233}$ has no other factors then $1$ and ${\color{green}233}$: $\frac{233}{233} = {\color{red}1}$.

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: $3728 = 2^{4} \cdot 233$.

The prime factorization is $3728 = 2^{4} \cdot 233$A.