Heat oven to 325℉ (165℃).
Spray four 6 inch pans with baking spray. Set aside.
In a medium bowl, sift together flour, baking powder, and salt. Set aside.
Beat egg whites to medium-stiff peaks. Set aside.
Beat butter and sugar with an electric mixer until light and fluffy, 3-4 minutes.
Mix in flour mixture along with milk, beginning and ending with flour mixture.
Add vanilla.
Fold in egg whites.
Divide batter evenly between prepared pans.
Bake 20-25 minutes, or until done.