MathDB
Cutting paper into 8 or 12 pieces

Source:

June 14, 2006
modular arithmetic

Problem Statement

You are given a piece of paper. You can cut the paper into 88 or 1212 pieces. Then you can do so for any of the new pieces or let them uncut and so on. Can you get exactly 6060 pieces¿ Show that you can get every number of pieces greater than 6060.