Library / /113 of 175

, 2023

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

One of these is the largest two-digit positive integer that is divisible by the product of its digits. Which is it?

(A) $12$ (B) $24$ (C) $36$ (D) $72$ (E) $96$

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.