# Prime factorization of $664$

The calculator will find the prime factorization of $664$, with steps shown.

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Find the prime factorization of $664$.

### Solution

Start with the number $2$.

Determine whether $664$ is divisible by $2$.

It is divisible, thus, divide $664$ by ${\color{green}2}$: $\frac{664}{2} = {\color{red}332}$.

Determine whether $332$ is divisible by $2$.

It is divisible, thus, divide $332$ by ${\color{green}2}$: $\frac{332}{2} = {\color{red}166}$.

Determine whether $166$ is divisible by $2$.

It is divisible, thus, divide $166$ by ${\color{green}2}$: $\frac{166}{2} = {\color{red}83}$.

The prime number ${\color{green}83}$ has no other factors then $1$ and ${\color{green}83}$: $\frac{83}{83} = {\color{red}1}$.

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: $664 = 2^{3} \cdot 83$.

The prime factorization is $664 = 2^{3} \cdot 83$A.