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Now suppose that is a counting number, and imagine factoring the number 2 * 2 into a product of prime numbers. For example, if = 1 5 , then 2 * 2 = 2 * 3 * 5 * 3 * 5 Could 2 2 have an even number of prime factors? Make a general qualitative statement about the number of prime factors that 2 * 2 has.

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