The setAconsists of nine positive integers, none of which has a prime divisor larger thansix. Prove thatAis guaranteed to contain two distinct elements whose product is the squareof an integer.Hint:Any positive integer that does not have a prime divisor larger than 6 can be writtenas 2x13x25x3for integersx1, x2, x3

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08-03-2021
Mathematics

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The setAconsists of nine positive integers, none of which has a prime divisor larger thansix. Prove thatAis guaranteed to contain two distinct elements whose product is the squareof an integer.Hint:Any positive integer that does not have a prime divisor larger than 6 can be writtenas 2x13x25x3for integersx1, x2, x3

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