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Number theory Difficulty 1.0 Junior Find the answer United Kingdom

The product of three different positive integers is 24. What is the largest possible sum of these integers?

(A) $9$ (B) $11$ (C) $12$ (D) $15$ (E) $16$

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.