# Prime factorization of $2708$

The calculator will find the prime factorization of $2708$, with steps shown.

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Find the prime factorization of $2708$.

### Solution

Start with the number $2$.

Determine whether $2708$ is divisible by $2$.

It is divisible, thus, divide $2708$ by ${\color{green}2}$: $\frac{2708}{2} = {\color{red}1354}$.

Determine whether $1354$ is divisible by $2$.

It is divisible, thus, divide $1354$ by ${\color{green}2}$: $\frac{1354}{2} = {\color{red}677}$.

The prime number ${\color{green}677}$ has no other factors then $1$ and ${\color{green}677}$: $\frac{677}{677} = {\color{red}1}$.

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: $2708 = 2^{2} \cdot 677$.

The prime factorization is $2708 = 2^{2} \cdot 677$A.