The muscle you are looking for is called "pectoralix major". Easy way to train this muscle are from your normal benchpress, push ups, and dips. flys can also be done, but these also train your pectoralis minor.
There are many exercises that you can use. For instance push-ups, bench press with barbell or dumbbells (flat bench, incline and decline), dumbbell flyes, dips, cable crossovers, peck deck flyes, etc.