View source for Prime factorization

By the [[Fundamental Theorem of Arithmetic]], every positive integer has a unique prime factorization. What is a prime factorization? It is a representation of a number in terms of powers of primes (it is of the form <math>{p_1}^{e_1}\cdot</math><math>{p_2}^{e_2}\cdot{p_3}^{e_3}\cdots{p_k}^{e_k} = n</math>, where ''n'' is any natural number).
Prime factorizations are important in many ways, for instance, to simplify [[fractions]].
===Example Problem===