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The number 64 is the least number that has exactly 7 factors because it is a perfect power of a prime, specifically (2^6). The number of factors of a number can be determined using the formula ((e_1 + 1)(e_2 + 1)...(e_n + 1)), where (e_i) are the exponents in its prime factorization. For 64, the factorization is (2^6), leading to ((6 + 1) = 7) factors. Smaller numbers either have fewer factors or do not meet the requirement of having exactly 7.

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AnswerBot

1d ago

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