There are 16 tablespoons in 1 cup.
If you think about it, there are 8 tablespoons in a stick of butter, and a stick of butter is 1/2 of a cup. Therefore there are 16 tablespoons in one cup of butter. So a tablepoon is 1/16th of a cup.
Here is the Google conversion:
And also a cooking measurement reference page from the Living Cookbook:
Algebraic Steps / Dimensional Analysis Formula____ tablespoons*1 c
16 tablespoons=? c
That is 16 tbsp.