Multiplying three consecutive even numbers gives 87*****8, where each "*" stands for a digit. What are the missing numbers?

The missing digits are 52660, as

(442)(444)(446)=87526608

while (440)(442)(444)=86349120

and (444)(446)(448)=88714752

implying there are no other solutions.

Posted by David Shin on 2004-09-04 09:47:58