Prime factorization of $$$20$$$

The calculator will find the prime factorization of $$$20$$$, with steps shown.

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Your Input

Find the prime factorization of $$$20$$$.

Solution

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

Determine whether $$$20$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$20$$$ by $$${\color{green}2}$$$: $$$\frac{20}{2} = {\color{red}10}$$$.

Determine whether $$$10$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$10$$$ by $$${\color{green}2}$$$: $$$\frac{10}{2} = {\color{red}5}$$$.

The prime number $$${\color{green}5}$$$ has no other factors then $$$1$$$ and $$${\color{green}5}$$$: $$$\frac{5}{5} = {\color{red}1}$$$.

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: $$$20 = 2^{2} \cdot 5$$$.

Answer

The prime factorization is $$$20 = 2^{2} \cdot 5$$$A.