Memory is the power to retain and recall information and past experiences. Your brain's memory helps you recall lots of memories — like multiplication tables and bad dates.
The word memory applies to both the individual facts and experiences you remember as well as the brain's ability to contain it all. A good memory for names means you retain someone's name. But a good memory of your summer job means that you had fun while working at the Jiffy Lube. Memory has also come to refer to a computer's capacity to store information. As far as we know, however, computers do not have fond memories of their past programs.