Why Does a Nucleus Stay Together When Protons (+) Repel Each Other?

Protons, with their positive electric charges, are powerful. Yet, that is a huge challenge because positive charge (+) protons strong both attract opposite charges (-) in electrons, but more importantly protons (+) repel like-charges; that is, other protons. And, a nucleus consists of a bunch of protons each with positive (+) charges, and like-charges repel each other. Solving how the strongest force in the universe does not break up a nucleus is the adventure. The basic question is: Why does a nucleus hold together if charge-force is so strong?