I don't know if my explanation will be helpful, I always think of present/future value this way:
Prices always go up, today you pay $3 for a gallon of milk, next year it could be $3.20. So $3.20 is a future value of $3, it's always higher than present (assuming reasonable rate). If you look at the table with future value factors, they are higher than 1, that's why. For example $3 * 1.066
If you are in the future buying milk for $3.20, when you come back to present, the present value of your $3.20 would be $3. When you look at the table with present value of 1, all factors are < 1. For example $3.2 * 0.9375 = $3