CEMC Fermat, 2007

Number theory Difficulty 1.0 Junior Find the answer Canada

The product of three positive integers is 42. The sum of two of these integers is 9. The third integer is

(A) $1$ (B) $7$ (C) $6$ (D) $3$ (E) $2$

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: 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.