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There are many four-digit positive integers in which the product of the digits is equal to 5!. What is the sum of the largest and smallest such four-digit numbers?

 Jun 6, 2020
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The smallest is: 1,358 =1 + 3 + 5 + 8 = 17
The largest is:    8,531 = 8 + 5 + 3 + 1 = 17
Note: it is the same number reversed. if you wish a different number, then 6,541 would be the next largest such number.

 Jun 6, 2020

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