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To find numbers with distinct digits whose product is 28, we first determine the factorization of 28, which is (2^2 \times 7). The distinct digits that can be used are 1, 2, 4, 7, and 8, since they can be combined to form products equal to 28. The valid combinations of these digits are 4, 7, and 1 (as (4 \times 7 \times 1 = 28)), and 2, 4, and 7 (as (2 \times 4 \times 7 = 28)). Therefore, the valid numbers are 147, 174, 417, 471, 714, and 741 from the first combination, and 247, 274, 427, 472, 724, and 742 from the second combination, leading to a total of 12 distinct numbers.

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1mo ago

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