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KCC's Quizzes AQQ288 about an amazing Equations System

1. First, the quote of the week: "The chief function of the body is to carry the brain around" - Thomas A. Edison

2. And here is the new challenge:

a*b = k

b*c = 2*k

c*a = 3*k

        We have a set of 3 equations with 3 unknowns a, b and c.

        k is an adjustable parameter.

        Question:

Find all the values k that give positive integer solutions for a, b and c.

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