# Prime factorization of $2908$

The calculator will find the prime factorization of $2908$, with steps shown.

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Find the prime factorization of $2908$.

### Solution

Start with the number $2$.

Determine whether $2908$ is divisible by $2$.

It is divisible, thus, divide $2908$ by ${\color{green}2}$: $\frac{2908}{2} = {\color{red}1454}$.

Determine whether $1454$ is divisible by $2$.

It is divisible, thus, divide $1454$ by ${\color{green}2}$: $\frac{1454}{2} = {\color{red}727}$.

The prime number ${\color{green}727}$ has no other factors then $1$ and ${\color{green}727}$: $\frac{727}{727} = {\color{red}1}$.

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: $2908 = 2^{2} \cdot 727$.

The prime factorization is $2908 = 2^{2} \cdot 727$A.