# Prime factorization of $3076$

The calculator will find the prime factorization of $3076$, with steps shown.

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Find the prime factorization of $3076$.

### Solution

Start with the number $2$.

Determine whether $3076$ is divisible by $2$.

It is divisible, thus, divide $3076$ by ${\color{green}2}$: $\frac{3076}{2} = {\color{red}1538}$.

Determine whether $1538$ is divisible by $2$.

It is divisible, thus, divide $1538$ by ${\color{green}2}$: $\frac{1538}{2} = {\color{red}769}$.

The prime number ${\color{green}769}$ has no other factors then $1$ and ${\color{green}769}$: $\frac{769}{769} = {\color{red}1}$.

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: $3076 = 2^{2} \cdot 769$.

The prime factorization is $3076 = 2^{2} \cdot 769$A.