# Prime factorization of $3832$

The calculator will find the prime factorization of $3832$, with steps shown.

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Find the prime factorization of $3832$.

### Solution

Start with the number $2$.

Determine whether $3832$ is divisible by $2$.

It is divisible, thus, divide $3832$ by ${\color{green}2}$: $\frac{3832}{2} = {\color{red}1916}$.

Determine whether $1916$ is divisible by $2$.

It is divisible, thus, divide $1916$ by ${\color{green}2}$: $\frac{1916}{2} = {\color{red}958}$.

Determine whether $958$ is divisible by $2$.

It is divisible, thus, divide $958$ by ${\color{green}2}$: $\frac{958}{2} = {\color{red}479}$.

The prime number ${\color{green}479}$ has no other factors then $1$ and ${\color{green}479}$: $\frac{479}{479} = {\color{red}1}$.

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: $3832 = 2^{3} \cdot 479$.

The prime factorization is $3832 = 2^{3} \cdot 479$A.