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UKMT Junior Kangaroo, 2017

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

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) $16$

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