### 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.

Hide Hint Show Hint Hide Answer Show Answer

## What Next?

**Solve a Similar Brain Teaser...**

Or, get a random brain teaser.

If you become a registered user you can vote on this brain teaser, keep track of

which ones you have seen, and even make your own.

## Follow Braingle!