MathDB

1

Part of 2009 Greece JBMO TST

Problems(1)

7 cards, tears a few in 7 pieces, teare a few again in 7, ..., 2009 pieces ever?

Source: Greece JBMO TST 2009 p1

4/29/2019
One pupil has 77 cards of paper. He takes a few of them and tears each in 77 pieces. Then, he choses a few of the pieces of paper that he has and tears it again in 77 pieces. He continues the same procedure many times with the pieces he has every time. Will he be able to have sometime 20092009 pieces of paper?
number theorySumalgebra