# Prime factorization of $3336$

The calculator will find the prime factorization of $3336$, with steps shown.

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Find the prime factorization of $3336$.

### Solution

Start with the number $2$.

Determine whether $3336$ is divisible by $2$.

It is divisible, thus, divide $3336$ by ${\color{green}2}$: $\frac{3336}{2} = {\color{red}1668}$.

Determine whether $1668$ is divisible by $2$.

It is divisible, thus, divide $1668$ by ${\color{green}2}$: $\frac{1668}{2} = {\color{red}834}$.

Determine whether $834$ is divisible by $2$.

It is divisible, thus, divide $834$ by ${\color{green}2}$: $\frac{834}{2} = {\color{red}417}$.

Determine whether $417$ is divisible by $2$.

Since it is not divisible, move to the next prime number.

The next prime number is $3$.

Determine whether $417$ is divisible by $3$.

It is divisible, thus, divide $417$ by ${\color{green}3}$: $\frac{417}{3} = {\color{red}139}$.

The prime number ${\color{green}139}$ has no other factors then $1$ and ${\color{green}139}$: $\frac{139}{139} = {\color{red}1}$.

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: $3336 = 2^{3} \cdot 3 \cdot 139$.

The prime factorization is $3336 = 2^{3} \cdot 3 \cdot 139$A.