Prime factorization of $$$1532$$$

Find the prime factorization of $$$1532$$$.

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

Determine whether $$$1532$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$1532$$$ by $$${\color{green}2}$$$: $$$\frac{1532}{2} = {\color{red}766}$$$.

Determine whether $$$766$$$ is divisible by $$$2$$$.

It is divisible, thus, divide $$$766$$$ by $$${\color{green}2}$$$: $$$\frac{766}{2} = {\color{red}383}$$$.

The prime number $$${\color{green}383}$$$ has no other factors then $$$1$$$ and $$${\color{green}383}$$$: $$$\frac{383}{383} = {\color{red}1}$$$.

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: $$$1532 = 2^{2} \cdot 383$$$.

The prime factorization is $$$1532 = 2^{2} \cdot 383$$$A.