Perfect Numbers

A Maths Starter of The Day

Perfect sixThe factors of six are 1, 2 and 3 (not including six itself)

Add up these factors and you will get six:

1+2+3 = 6

Six is a perfect number as it is the sum of its factors. Can you find any other perfect numbers?

 

 

 

 

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Keywords: Starter | Number Patterns

  • Mrs. Alabame, DS Masone School, Pretend
  • Friday, March 20, 2009
  • "Well, being a year 6 class we only had time to do short starter as we had to do some revision for the up and coming SAT's. I ended up giving points to the young girl who first got 28! Shannon really is my favourite."
  • Class 1.4, Brechin High School
  • Wednesday, March 03, 2010
  • "Finding perfect numbers is a perfect start to World Maths Day, don't you agree?"
  • Apex Secondary School, Year 12
  • Monday, March 22, 2010
  • "My class got all the perfect numbers and the last perfect number zaid got he is even better then me!"

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Answers

The next perfect number is 28 = 1 + 2 + 4 + 7 + 14.

The next perfect numbers are 496 and 8128

Then 33550336, 8589869056, 137438691328, 2305843008139952128, 2658455991569831744654692615953842176, 191561942608236107294793378084303638130997321548169216.

I bet you didn't get those!
Computer Teacher, do your students have access to computers?
Do you have "Laptops in Lessons"?

Whether your students each have a TabletPC or share a desktop PC, this activity lends itself to eLearning (Engaged Learning).

Laptop

Here is the URL which will take them to a concise version of this page.

Transum.org/go/?Start=March3

Students can explore the huge number of sequences in the
On-line Encyclopedia of Integer Number Sequences:


http://www.research.att.com/%7enjas/sequences/