The numbers $$2,3,12,14,15,20,21$$ may be divided into two sets so that the product of the numbers in each set is the same. What is this product?

Solution

If each set has the same product $$P$$, then the product of all seven numbers is $$P^2$$. Their product is $$2\cdot3\cdot12\cdot14\cdot15\cdot20\cdot21=2520^2$$. Hence each set has product $$P=2520$$.

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