Prime Decomposition

Given a Positive Integer $n\geq 2$, the prime decomposition is written

$$n = {p_1}^{\alpha_1} {p_2}^{\alpha_2} \cdots {p_k}^{\alpha_k},$$

where $p_i$ are the $k$ Prime factors, each of order $\alpha_i$. Each factor ${p_i}^{\alpha _i}$ is called a Primary.

See also Primary, Prime Factorization Algorithms, Prime Number