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Number theory Difficulty 3.0 AMC 10/12 Find the answer Canada

The product of four different positive integers is 360. What is the maximum possible sum of these four integers?

(A) $68$ (B) $66$ (C) $52$ (D) $39$ (E) $24$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.