# Prime factorization of $3824$

The calculator will find the prime factorization of $3824$, with steps shown.

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Find the prime factorization of $3824$.

### Solution

Start with the number $2$.

Determine whether $3824$ is divisible by $2$.

It is divisible, thus, divide $3824$ by ${\color{green}2}$: $\frac{3824}{2} = {\color{red}1912}$.

Determine whether $1912$ is divisible by $2$.

It is divisible, thus, divide $1912$ by ${\color{green}2}$: $\frac{1912}{2} = {\color{red}956}$.

Determine whether $956$ is divisible by $2$.

It is divisible, thus, divide $956$ by ${\color{green}2}$: $\frac{956}{2} = {\color{red}478}$.

Determine whether $478$ is divisible by $2$.

It is divisible, thus, divide $478$ by ${\color{green}2}$: $\frac{478}{2} = {\color{red}239}$.

The prime number ${\color{green}239}$ has no other factors then $1$ and ${\color{green}239}$: $\frac{239}{239} = {\color{red}1}$.

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: $3824 = 2^{4} \cdot 239$.

The prime factorization is $3824 = 2^{4} \cdot 239$A.