MathDB
2021 USMCA National Championship #5

Source:

May 9, 2021

Problem Statement

Let AA denote the set of all the positive integer divisors of 30.30. For each nonempty subset sāŠ†A,s \subseteq A, define p(s)p(s) to be the product of the elements in s.s. Finally, let BB denote the set of all possible remainders when p(s)p(s) is divided by 30.30. How many (distinct) elements are in B?B?
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