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    OlympiadHardNumber Theory7–9

    For how many positive integers nn is 24n+1\frac{24}{n+1} a whole number?

    Para quantos inteiros positivos nn é 24n+1\frac{24}{n+1} um número inteiro?

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    Solution

    Step 1 of 3

    1. 1.The fraction is a whole number exactly when n+1n+1 is a divisor of 2424.