June 7,2013
In class we found out a pattern of our worksheet was that all the unlocked lockers where perfect squares. We didn't get a chance to explain why this was, so thats what im going to blog about. What my group came to a conclusion about was that this pattern happend because all perfect # have an odd amount of factors.
Ex: 9:1,3,9 or 36:1,2,3,4,6,9,12,18,36
9 which is the perfect square for 3 has 3 factors and 3 is obviously an odd #. 36 is a larger # and has more factors. 36 is 6 squared and it has 9 factors once again 9 is an odd #!
Ahhhhh, the repeated factors needed to make a number perfect square created an odd number of overall factors....well done!
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