# Prime factorization of $2084$

The calculator will find the prime factorization of $2084$, with steps shown.

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Find the prime factorization of $2084$.

### Solution

Start with the number $2$.

Determine whether $2084$ is divisible by $2$.

It is divisible, thus, divide $2084$ by ${\color{green}2}$: $\frac{2084}{2} = {\color{red}1042}$.

Determine whether $1042$ is divisible by $2$.

It is divisible, thus, divide $1042$ by ${\color{green}2}$: $\frac{1042}{2} = {\color{red}521}$.

The prime number ${\color{green}521}$ has no other factors then $1$ and ${\color{green}521}$: $\frac{521}{521} = {\color{red}1}$.

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: $2084 = 2^{2} \cdot 521$.

The prime factorization is $2084 = 2^{2} \cdot 521$A.