Question 337816: What is the greatest number of digits possible in the product of a 2 digit number times a three digit number? What is the product? Answer by solver91311(24713) (Show Source):
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 least 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
My calculator said it, I believe it, that settles it
