# Prime factorization of $4084$

The calculator will find the prime factorization of $4084$, with steps shown.

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Find the prime factorization of $4084$.

### Solution

Start with the number $2$.

Determine whether $4084$ is divisible by $2$.

It is divisible, thus, divide $4084$ by ${\color{green}2}$: $\frac{4084}{2} = {\color{red}2042}$.

Determine whether $2042$ is divisible by $2$.

It is divisible, thus, divide $2042$ by ${\color{green}2}$: $\frac{2042}{2} = {\color{red}1021}$.

The prime number ${\color{green}1021}$ has no other factors then $1$ and ${\color{green}1021}$: $\frac{1021}{1021} = {\color{red}1}$.

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: $4084 = 2^{2} \cdot 1021$.

The prime factorization is $4084 = 2^{2} \cdot 1021$A.