# Prime factorization of $3508$

The calculator will find the prime factorization of $3508$, with steps shown.

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Find the prime factorization of $3508$.

### Solution

Start with the number $2$.

Determine whether $3508$ is divisible by $2$.

It is divisible, thus, divide $3508$ by ${\color{green}2}$: $\frac{3508}{2} = {\color{red}1754}$.

Determine whether $1754$ is divisible by $2$.

It is divisible, thus, divide $1754$ by ${\color{green}2}$: $\frac{1754}{2} = {\color{red}877}$.

The prime number ${\color{green}877}$ has no other factors then $1$ and ${\color{green}877}$: $\frac{877}{877} = {\color{red}1}$.

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: $3508 = 2^{2} \cdot 877$.

The prime factorization is $3508 = 2^{2} \cdot 877$A.