Prime factorization

Revision as of 15:54, 19 June 2006 by MCrawford (talk | contribs) (Prime Factorization moved to Prime factorization: I uncapitalized "factorization" because the article name is not a proper name.)

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 ${p_1}^{e_1}\cdot$${p_2}^{e_2}\cdot{p_3}^{e_3}\cdots{p_k}^{e_k} = n$, where n is any natural number). Prime factorizations are important in many ways, for instance to simplify fractions.

Example Problem