# Prime factorization of $3884$

The calculator will find the prime factorization of $3884$, with steps shown.

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Find the prime factorization of $3884$.

### Solution

Start with the number $2$.

Determine whether $3884$ is divisible by $2$.

It is divisible, thus, divide $3884$ by ${\color{green}2}$: $\frac{3884}{2} = {\color{red}1942}$.

Determine whether $1942$ is divisible by $2$.

It is divisible, thus, divide $1942$ by ${\color{green}2}$: $\frac{1942}{2} = {\color{red}971}$.

The prime number ${\color{green}971}$ has no other factors then $1$ and ${\color{green}971}$: $\frac{971}{971} = {\color{red}1}$.

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: $3884 = 2^{2} \cdot 971$.

The prime factorization is $3884 = 2^{2} \cdot 971$A.