   SEARCH HOME Math Central Quandaries & Queries  Subject: Maths Name: Dani Who are you: Student Use the numbers 1-9 only once to make the following: A three digit number times a two digit number that gives a four digit number. That is *** x ** = **** (the numbers 1-9 can only be used once for each star). I came up with the answer 138 x 42 = 5796 but I want to know whether this is the only solution and if not, is there a formula to come up with the answer. Thanks! I appreciate your help! Hi Dani,

You can find a list of all solutions to this problem in Claude's answer to the same question by Megan a couple of years ago. I added your question to our database because Chris sent me a reply to your question that you might enjoy.

I would not be surprised were there no simple answer to the question, but perhaps you might find it amusing that
3 6819 = 20457
uses each of the ten decimal digits exactly once.

Chris

Harley     Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.