Maths Club Problem

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A1.3 — Examples and logical conclusions
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Years 5-7 · Lesson 1: Examples and logical conclusions

A positive integer \(n\) is divisible by both positive integers \(a\) and \(b\). Can \(n\) fail to be divisible by \(ab\)? Give an example or a proof.

Source: Can or Cannot? — Khamovniki, Russian Grade 6, Series 1, 20 September 2014. K1, Problem 2. Preparation-circle worksheet.

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