Library / UKMT Junior Kangaroo /60 of 243

UKMT Junior Kangaroo, 2022

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) $16$

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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.