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4620 is multiple of a, 4620 is multiple of b and b is multiple of a

Source: Argentina 2000 OMA L3 p4

May 12, 2024
number theory

Problem Statement

Determine the number of pairs of natural numbers (a,b)(a,b) that simultaneously verify that 46204620 is a multiple of aa, 46204620 is a multiple of bb and bb is a multiple of aa.
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