# Prime factorization of $3032$

The calculator will find the prime factorization of $3032$, with steps shown.

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Find the prime factorization of $3032$.

### Solution

Start with the number $2$.

Determine whether $3032$ is divisible by $2$.

It is divisible, thus, divide $3032$ by ${\color{green}2}$: $\frac{3032}{2} = {\color{red}1516}$.

Determine whether $1516$ is divisible by $2$.

It is divisible, thus, divide $1516$ by ${\color{green}2}$: $\frac{1516}{2} = {\color{red}758}$.

Determine whether $758$ is divisible by $2$.

It is divisible, thus, divide $758$ by ${\color{green}2}$: $\frac{758}{2} = {\color{red}379}$.

The prime number ${\color{green}379}$ has no other factors then $1$ and ${\color{green}379}$: $\frac{379}{379} = {\color{red}1}$.

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: $3032 = 2^{3} \cdot 379$.

The prime factorization is $3032 = 2^{3} \cdot 379$A.