# Prime factorization of $2636$

The calculator will find the prime factorization of $2636$, with steps shown.

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Find the prime factorization of $2636$.

### Solution

Start with the number $2$.

Determine whether $2636$ is divisible by $2$.

It is divisible, thus, divide $2636$ by ${\color{green}2}$: $\frac{2636}{2} = {\color{red}1318}$.

Determine whether $1318$ is divisible by $2$.

It is divisible, thus, divide $1318$ by ${\color{green}2}$: $\frac{1318}{2} = {\color{red}659}$.

The prime number ${\color{green}659}$ has no other factors then $1$ and ${\color{green}659}$: $\frac{659}{659} = {\color{red}1}$.

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: $2636 = 2^{2} \cdot 659$.

The prime factorization is $2636 = 2^{2} \cdot 659$A.