, 2017

Harriet tells Topaz that she is thinking of three positive integers, not necessarily all different. She tells her that the product of her three integers is $36$. She also tells her the sum of her three integers. However, Topaz still cannot work out what the three integers are. What is the sum of Harriet's three integers?

(A) $10$ (B) $11$ (C) $13$ (D) $14$ (E) $16$