What is the least three-digit whole number, the product of whose digits is 6?
To find the least three-digit whole number, I want to make the digits as small as possible, starting from the left. The product of the digits is 6, so they must be factors of 6. The smallest factor of 6 is 1, so I want to use that as the leftmost digit if possible. If the leftmost digit is 1, then the product of the other two digits must also be 6. The smallest pair of factors of 6 is 1 and 6, so I can use them as the other two digits. Therefore, the least three-digit whole number whose digits multiply to 6 is 116. 