# Prime factorization of $1629$

The calculator will find the prime factorization of $1629$, with steps shown.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the prime factorization of $1629$.

### Solution

Start with the number $2$.

Determine whether $1629$ is divisible by $2$.

Since it is not divisible, move to the next prime number.

The next prime number is $3$.

Determine whether $1629$ is divisible by $3$.

It is divisible, thus, divide $1629$ by ${\color{green}3}$: $\frac{1629}{3} = {\color{red}543}$.

Determine whether $543$ is divisible by $3$.

It is divisible, thus, divide $543$ by ${\color{green}3}$: $\frac{543}{3} = {\color{red}181}$.

The prime number ${\color{green}181}$ has no other factors then $1$ and ${\color{green}181}$: $\frac{181}{181} = {\color{red}1}$.

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: $1629 = 3^{2} \cdot 181$.

The prime factorization is $1629 = 3^{2} \cdot 181$A.