# Prime factorization of $1732$

The calculator will find the prime factorization of $1732$, with steps shown.

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Find the prime factorization of $1732$.

### Solution

Start with the number $2$.

Determine whether $1732$ is divisible by $2$.

It is divisible, thus, divide $1732$ by ${\color{green}2}$: $\frac{1732}{2} = {\color{red}866}$.

Determine whether $866$ is divisible by $2$.

It is divisible, thus, divide $866$ by ${\color{green}2}$: $\frac{866}{2} = {\color{red}433}$.

The prime number ${\color{green}433}$ has no other factors then $1$ and ${\color{green}433}$: $\frac{433}{433} = {\color{red}1}$.

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: $1732 = 2^{2} \cdot 433$.

The prime factorization is $1732 = 2^{2} \cdot 433$A.