Problem #PRU-100657

Problems Number Theory Divisibility Divisibility rules Divisibility tests for 3 and 9

Problem

Tom got a really bad grade from the last test and once he got the test back, he started to tear it up. He is tearing it into little pieces in the following manner: He picks up a piece and tears it into either \(4\) or \(10\) smaller pieces. Can he eventually have exactly 200,000 pieces?