# Prime factorization of $3896$

The calculator will find the prime factorization of $3896$, with steps shown.

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Find the prime factorization of $3896$.

### Solution

Start with the number $2$.

Determine whether $3896$ is divisible by $2$.

It is divisible, thus, divide $3896$ by ${\color{green}2}$: $\frac{3896}{2} = {\color{red}1948}$.

Determine whether $1948$ is divisible by $2$.

It is divisible, thus, divide $1948$ by ${\color{green}2}$: $\frac{1948}{2} = {\color{red}974}$.

Determine whether $974$ is divisible by $2$.

It is divisible, thus, divide $974$ by ${\color{green}2}$: $\frac{974}{2} = {\color{red}487}$.

The prime number ${\color{green}487}$ has no other factors then $1$ and ${\color{green}487}$: $\frac{487}{487} = {\color{red}1}$.

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: $3896 = 2^{3} \cdot 487$.

The prime factorization is $3896 = 2^{3} \cdot 487$A.