Brain Teasers
Digital Product
The digital product (i.e. product of all its digits) of a positive integer equals the cube of a two-digit integer.
What's the minimal value of the original number?
What's the minimal value of the original number?
Hint
If you think it's 5558, then you're missing something.Answer
It must have 4 digits. If the product is 1000, it's at least 5558.The product can't be 11^3 because 11 is prime.
But if the product is 12^3, the least number is 3889.
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