# Prime factorization of $104$

The calculator will find the prime factorization of $104$, with steps shown.

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Find the prime factorization of $104$.

### Solution

Start with the number $2$.

Determine whether $104$ is divisible by $2$.

It is divisible, thus, divide $104$ by ${\color{green}2}$: $\frac{104}{2} = {\color{red}52}$.

Determine whether $52$ is divisible by $2$.

It is divisible, thus, divide $52$ by ${\color{green}2}$: $\frac{52}{2} = {\color{red}26}$.

Determine whether $26$ is divisible by $2$.

It is divisible, thus, divide $26$ by ${\color{green}2}$: $\frac{26}{2} = {\color{red}13}$.

The prime number ${\color{green}13}$ has no other factors then $1$ and ${\color{green}13}$: $\frac{13}{13} = {\color{red}1}$.

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: $104 = 2^{3} \cdot 13$.

The prime factorization is $104 = 2^{3} \cdot 13$A.