The prime factorization of 432 and 36 are given below: 432 =2 to the power of 4 (times)3 to the power of 3 36= 3 to the power of 2 (times) 2 to the power of 2 Use these results to find (a) the smallest positive integer x such that 432x is a perfect square, (b) the smallest positive integer y such that 36y is a multiple of 432.
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