Factoring Monomials

We know that the Fundamental Theorem of Arithmetic states that any whole number can be written uniquely as a product of prime factors. What about factoring monomials?

The "prime factorization" of a monomial is its expression as a product of prime numbers, single variables, and (possibly) a 1 .

Example:

Find the prime factorization of 27 p 2 q r 5 .

27 can be written as 333 . Then just write the powers out the long way, and multiply by 1 .

27 p 2 q r 5 =1333ppqrrrrr