# Prime factorization of $3284$

The calculator will find the prime factorization of $3284$, with steps shown.

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Find the prime factorization of $3284$.

### Solution

Start with the number $2$.

Determine whether $3284$ is divisible by $2$.

It is divisible, thus, divide $3284$ by ${\color{green}2}$: $\frac{3284}{2} = {\color{red}1642}$.

Determine whether $1642$ is divisible by $2$.

It is divisible, thus, divide $1642$ by ${\color{green}2}$: $\frac{1642}{2} = {\color{red}821}$.

The prime number ${\color{green}821}$ has no other factors then $1$ and ${\color{green}821}$: $\frac{821}{821} = {\color{red}1}$.

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: $3284 = 2^{2} \cdot 821$.

The prime factorization is $3284 = 2^{2} \cdot 821$A.