Math is cooool enough to provide prime factorization. We are ready to explore further.

Excited Homelander (The Boys)

Excited Homelander (The Boys)

Let’s take a general integer $n$ and write down its prime factorization. We’ll use it throughout the whole page:

$$ \huge \color{blue}{n} = \color{purple}{p_1^{e_1}} \cdot \color{orange}{p_2^{e_2}} \cdot \color{darkcyan}{p_3^{e_3}} \cdot \color{red}{p_4^{e_4}} \cdots $$

Also, $d(n)$ stands for the number of positive divisors of $n$.

Number of Divisors

More on Complementary Divisors

Sum of Divisors

Okay, I think we got the point: prime factorization works like a charm! Now is the time to think about primes.