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Problem 122

Number theory Difficulty 1.3 Multiple choice CEMC Gauss (Grade 7) · Canada · 2015

The number 6 has exactly four positive divisors: 1,2,3,1,2,3, and 6. How many positive divisors does 20 have?

Pick one

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Official solution

The positive divisors of 20 are: 1,2,4,5,10,1,2,4,5,10, and 20.
Therefore, the number 20 has exactly 6 positive divisors.

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