# Prime factorization of $2612$

The calculator will find the prime factorization of $2612$, with steps shown.

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Find the prime factorization of $2612$.

### Solution

Start with the number $2$.

Determine whether $2612$ is divisible by $2$.

It is divisible, thus, divide $2612$ by ${\color{green}2}$: $\frac{2612}{2} = {\color{red}1306}$.

Determine whether $1306$ is divisible by $2$.

It is divisible, thus, divide $1306$ by ${\color{green}2}$: $\frac{1306}{2} = {\color{red}653}$.

The prime number ${\color{green}653}$ has no other factors then $1$ and ${\color{green}653}$: $\frac{653}{653} = {\color{red}1}$.

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: $2612 = 2^{2} \cdot 653$.

The prime factorization is $2612 = 2^{2} \cdot 653$A.