Sam wants to pain the ceiling of his restaurant. The ceiling is in the shape of a square. Its side lengths are 52 feet. Suppose each can of paint will cover 208 square feet. How many cans will he need to paint the ceiling?
The total area of the ceiling is 52 * 52 = <<52*52=2704>>2704 square feet.
Thus, Sam needs 2704/208 = <<2704/208=13>>13 cans of paint to paint the ceiling. Answer: \boxed{13}.