# Prime factorization of $3868$

The calculator will find the prime factorization of $3868$, with steps shown.

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Find the prime factorization of $3868$.

### Solution

Start with the number $2$.

Determine whether $3868$ is divisible by $2$.

It is divisible, thus, divide $3868$ by ${\color{green}2}$: $\frac{3868}{2} = {\color{red}1934}$.

Determine whether $1934$ is divisible by $2$.

It is divisible, thus, divide $1934$ by ${\color{green}2}$: $\frac{1934}{2} = {\color{red}967}$.

The prime number ${\color{green}967}$ has no other factors then $1$ and ${\color{green}967}$: $\frac{967}{967} = {\color{red}1}$.

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: $3868 = 2^{2} \cdot 967$.

The prime factorization is $3868 = 2^{2} \cdot 967$A.