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To find the number of ways to express 60 as a product of integers, we first consider its prime factorization: (60 = 2^2 \times 3^1 \times 5^1). Using the formula for the number of divisors, we can determine the combinations of these factors. The number of ways to express 60 as a product of positive integers (including order) can be calculated using its divisors, which gives us a total of 12 unique combinations. However, if we consider only distinct sets of factors without regard to order, there are 4 distinct factorizations: (60), (30 \times 2), (20 \times 3), and (15 \times 4).

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7mo ago

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