# Prime factorization of $3092$

The calculator will find the prime factorization of $3092$, with steps shown.

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Find the prime factorization of $3092$.

### Solution

Start with the number $2$.

Determine whether $3092$ is divisible by $2$.

It is divisible, thus, divide $3092$ by ${\color{green}2}$: $\frac{3092}{2} = {\color{red}1546}$.

Determine whether $1546$ is divisible by $2$.

It is divisible, thus, divide $1546$ by ${\color{green}2}$: $\frac{1546}{2} = {\color{red}773}$.

The prime number ${\color{green}773}$ has no other factors then $1$ and ${\color{green}773}$: $\frac{773}{773} = {\color{red}1}$.

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: $3092 = 2^{2} \cdot 773$.

The prime factorization is $3092 = 2^{2} \cdot 773$A.