Prime factorization of $$$3020$$$
Your Input
Find the prime factorization of $$$3020$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$3020$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$3020$$$ by $$${\color{green}2}$$$: $$$\frac{3020}{2} = {\color{red}1510}$$$.
Determine whether $$$1510$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$1510$$$ by $$${\color{green}2}$$$: $$$\frac{1510}{2} = {\color{red}755}$$$.
Determine whether $$$755$$$ is divisible by $$$2$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$3$$$.
Determine whether $$$755$$$ is divisible by $$$3$$$.
Since it is not divisible, move to the next prime number.
The next prime number is $$$5$$$.
Determine whether $$$755$$$ is divisible by $$$5$$$.
It is divisible, thus, divide $$$755$$$ by $$${\color{green}5}$$$: $$$\frac{755}{5} = {\color{red}151}$$$.
The prime number $$${\color{green}151}$$$ has no other factors then $$$1$$$ and $$${\color{green}151}$$$: $$$\frac{151}{151} = {\color{red}1}$$$.
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: $$$3020 = 2^{2} \cdot 5 \cdot 151$$$.
Answer
The prime factorization is $$$3020 = 2^{2} \cdot 5 \cdot 151$$$A.