Grade level: Secondary (10-12)
Who is asking the question: myself, a teacher

Question:

If a certain six-digit number is split into two parts, one constituting the first three digits and the other the last three digits, and the two parts are added and the resultiong sum squared, it is found that the product is the original six digit number. What is the original six-digit number?

At first it seemed liked an impossible question, until it hit me...how long will it take you?

Thanks a million.

Hi Craig,
I mentioned your problem to two undergraduate students and they came up with 999^2 = 998001

Is there any other example?

Cheers,
Harley