# Prime factorization of $3044$

The calculator will find the prime factorization of $3044$, with steps shown.

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Find the prime factorization of $3044$.

### Solution

Start with the number $2$.

Determine whether $3044$ is divisible by $2$.

It is divisible, thus, divide $3044$ by ${\color{green}2}$: $\frac{3044}{2} = {\color{red}1522}$.

Determine whether $1522$ is divisible by $2$.

It is divisible, thus, divide $1522$ by ${\color{green}2}$: $\frac{1522}{2} = {\color{red}761}$.

The prime number ${\color{green}761}$ has no other factors then $1$ and ${\color{green}761}$: $\frac{761}{761} = {\color{red}1}$.

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: $3044 = 2^{2} \cdot 761$.

The prime factorization is $3044 = 2^{2} \cdot 761$A.