Prime factorization of $$$3758$$$
Your Input
Find the prime factorization of $$$3758$$$.
Solution
Start with the number $$$2$$$.
Determine whether $$$3758$$$ is divisible by $$$2$$$.
It is divisible, thus, divide $$$3758$$$ by $$${\color{green}2}$$$: $$$\frac{3758}{2} = {\color{red}1879}$$$.
The prime number $$${\color{green}1879}$$$ has no other factors then $$$1$$$ and $$${\color{green}1879}$$$: $$$\frac{1879}{1879} = {\color{red}1}$$$.
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: $$$3758 = 2 \cdot 1879$$$.
Answer
The prime factorization is $$$3758 = 2 \cdot 1879$$$A.