Question 337816
<font face="Garamond" size="+2">


You can simply multiply 99 times 999 to get 98901 which has 5 digits.  Since that is the product of the largest 2 digit number and the largest three digit number, you know that such a product cannot have more than 5 digits.  I suspect, however, that when you asked "what is the product" you really meant what is the <i>least</i> such product -- that is what are the two digit and three digit numbers which product is 10000.


Factors of 10000 are 2 times 2 times 2 times 2 time 5 times 5 times 5 times 5.


So:


16 X 625 = 10000
20 X 500 = 10000
25 X 400 = 10000
40 X 250 = 10000
50 X 200 = 10000
80 X 125 = 10000


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
<img src="http://www.evolvefish.com/fish/media/E-FlyingSpaghettiEmblem.gif">
</font>