# Prime factorization of $2932$

The calculator will find the prime factorization of $2932$, with steps shown.

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Find the prime factorization of $2932$.

### Solution

Start with the number $2$.

Determine whether $2932$ is divisible by $2$.

It is divisible, thus, divide $2932$ by ${\color{green}2}$: $\frac{2932}{2} = {\color{red}1466}$.

Determine whether $1466$ is divisible by $2$.

It is divisible, thus, divide $1466$ by ${\color{green}2}$: $\frac{1466}{2} = {\color{red}733}$.

The prime number ${\color{green}733}$ has no other factors then $1$ and ${\color{green}733}$: $\frac{733}{733} = {\color{red}1}$.

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: $2932 = 2^{2} \cdot 733$.

The prime factorization is $2932 = 2^{2} \cdot 733$A.