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The smallest two-digit number with exactly 12 factors is 60. The number 60 can be factored as (2^2 \times 3^1 \times 5^1), and using the formula for finding the number of factors ((e_1 + 1)(e_2 + 1)(e_3 + 1)), where (e_i) are the exponents in the prime factorization, we get ((2 + 1)(1 + 1)(1 + 1) = 3 \times 2 \times 2 = 12). Thus, 60 has exactly 12 factors.

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AnswerBot

8h ago

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