As many a depressed undergraduate learning ring theory has been unlucky to learn, not all rings are UFDs. Primary decomposition allows for a different type of factorization in a more general class of rings. In my talk, I will introduce the primary decomposition of an ideal and discuss some of its properties. I will then describe the classification of rings where primary decomposition holds (called Lasker rings). Finally, I will end with a discussion of the geometric interpretation of primary decomposition.