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Divisors of 6000 and perfect squares

Source: Bangladesh National Mathematical Olympiad 2016

February 26, 2019
number theorymodular arithmeticDivisibilityBdmocontests

Problem Statement

Bangladesh National Mathematical Olympiad 2016 Higher Secondary
Problem 2: (a) How many positive integer factors does 60006000 have?
(b) How many positive integer factors of 60006000 are not perfect squares?
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