Prime factorization of $$$3758$$$

Find the prime factorization of $$$3758$$$.

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: $$$3758 = 2 \cdot 1879$$$.

The prime factorization is $$$3758 = 2 \cdot 1879$$$A.