Maths Olympiad Prep

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Problem 10

Number theory Difficulty 1.0 Multiple choice CEMC Fermat · Canada · 2019

What is the remainder when 14 is divided by 5?

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Official solution

Since the largest multiple of 5 less than 14 is 10 and 1410=414-10=4, then the remainder when 1414 is divided by 5 is 4.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.