Perfect Numbers

A Maths Lesson Starter Of The Day

Perfect six

The 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?


Share

Topics: Starter | Number

  • Mrs. Alabame, DS Masone School, Pretend
  •  
  • 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
  •  
  • Finding perfect numbers is a perfect start to World Maths Day, don't you agree?
  • Apex Secondary School, Year 12
  •  
  • My class got all the perfect numbers and the last perfect number zaid got he is even better then me!
  • Mr Jennings, Balshaws CE High School
  •  
  • What a great starter. Joseph smashed it in 1. What a star!!!
  • Transum,
  •  
  • Do the perfect numbers have any other purpose or meaning? Apparently ancient civilisations gave religious and magical significance to the perfect numbers. One example is that God chose to create the world in a perfect number of days (six). Others saw that the moon's period of 28 days was another perfect number connection. Stretching this line of thought to the third perfect number, the number 496 is a very important number in superstring theory. One of the necessary conditions for a superstring theory to make sense is that the dimension of the gauge group must be 496. But I’m sure you knew that already didn’t you?

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.3 out of 5 based on 215 votes.


Previous Day | This starter is for 3 March | Next Day

 

Answers



Access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

Graphic Display Calculator

This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.

For the young people in your life it is a great investment. Bought as a gift for a special occasion but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more...

iPad Air

The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.

You have to hold iPad Air to believe it. It’s just 7.5 millimeters thin and weighs just one pound. The stunning Retina display sits inside thinner bezels, so all you see is your content. And an incredible amount of power lies inside the sleek enclosure. So you can do so much more. With so much less. more...

Before giving an iPad as a gift you could add a link to iPad Maths to the home screen.

Click the images above to see all the details of these items and to buy them online.


Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

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

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=March3

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=miller

Student Activity


Related to perfect numbers are amicable numbers. Two numbers are amicable if the sum of the proper divisors of the first is equal to the second and vice versa. Sociable numbers form a closed sequence where the sum of the proper divisors of one number is equal to the next number in the sequence. The sum of the proper divisors of the last term of the sequence is equal to the first number. (A proper divisor of a number is a positive factor of that number other than the number itself. For example, the proper divisors of 10 are 1, 2, and 5.)

Apple

©1997-2017 WWW.TRANSUM.ORG