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Suppose A is a counting number, and imagine factoring it into a product of prime numbers. For example, if A is 30, then you factor it ad A=2x3x5 Now think about factoring A2 as a product of prime numbers. For example, if A=30, thenA2=2x3x5x2x3x5. Could A2 have an odd number of prime factors? make a general qualitative statement about the number of prime factors that A2 has

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