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2016 AMC 10AProblem 22P21-25~6 minPrint
Divisibility & FactorsPrimesBound the quantity above/below or estimate to pin it downSet up the equation/formula and compute; no special trick needed

For some positive integer nn , the number 110n3110n^3 has 110110 positive integer divisors, including 11 and the number 110n3110n^3 . How many positive integer divisors does the number 81n481n^4 have?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.