# Prime factorization of $1432$

The calculator will find the prime factorization of $1432$, with steps shown.

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Find the prime factorization of $1432$.

### Solution

Start with the number $2$.

Determine whether $1432$ is divisible by $2$.

It is divisible, thus, divide $1432$ by ${\color{green}2}$: $\frac{1432}{2} = {\color{red}716}$.

Determine whether $716$ is divisible by $2$.

It is divisible, thus, divide $716$ by ${\color{green}2}$: $\frac{716}{2} = {\color{red}358}$.

Determine whether $358$ is divisible by $2$.

It is divisible, thus, divide $358$ by ${\color{green}2}$: $\frac{358}{2} = {\color{red}179}$.

The prime number ${\color{green}179}$ has no other factors then $1$ and ${\color{green}179}$: $\frac{179}{179} = {\color{red}1}$.

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: $1432 = 2^{3} \cdot 179$.

The prime factorization is $1432 = 2^{3} \cdot 179$A.