# Prime factorization of $1304$

The calculator will find the prime factorization of $1304$, with steps shown.

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Find the prime factorization of $1304$.

### Solution

Start with the number $2$.

Determine whether $1304$ is divisible by $2$.

It is divisible, thus, divide $1304$ by ${\color{green}2}$: $\frac{1304}{2} = {\color{red}652}$.

Determine whether $652$ is divisible by $2$.

It is divisible, thus, divide $652$ by ${\color{green}2}$: $\frac{652}{2} = {\color{red}326}$.

Determine whether $326$ is divisible by $2$.

It is divisible, thus, divide $326$ by ${\color{green}2}$: $\frac{326}{2} = {\color{red}163}$.

The prime number ${\color{green}163}$ has no other factors then $1$ and ${\color{green}163}$: $\frac{163}{163} = {\color{red}1}$.

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: $1304 = 2^{3} \cdot 163$.

The prime factorization is $1304 = 2^{3} \cdot 163$A.