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UKMT Grey Kangaroo, 2016

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

Several different positive integers are written on a blackboard. The product of the smallest two of them is 1616. The product of the largest two of them is 225225. What is the sum of all the integers written on the blackboard?

(A) 3838 (B) 4242 (C) 4444 (D) 5858 (E) 243243

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