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MathNet 2021 — Part 06 Question 91

Math Olympiad Vault · MathNet 2021 — Part 06

Question 91

Let $n$ be a positive integer. Describe, in terms of the prime factorisation of $n$, the largest integer which is the side length of a square tile which can be used to completely tile a rectangle that is inscribed in a circle of radius $n$, if such a tiling is possible.