Prime factorization of $$$69$$$

The calculator will find the prime factorization of $$$69$$$, 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.

Your Input

Find the prime factorization of $$$69$$$.


Start with the number $$$2$$$.

Determine whether $$$69$$$ is divisible by $$$2$$$.

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

The next prime number is $$$3$$$.

Determine whether $$$69$$$ is divisible by $$$3$$$.

It is divisible, thus, divide $$$69$$$ by $$${\color{green}3}$$$: $$$\frac{69}{3} = {\color{red}23}$$$.

The prime number $$${\color{green}23}$$$ has no other factors then $$$1$$$ and $$${\color{green}23}$$$: $$$\frac{23}{23} = {\color{red}1}$$$.

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: $$$69 = 3 \cdot 23$$$.


The prime factorization is $$$69 = 3 \cdot 23$$$A.