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?
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:
This starter has scored a mean of 3.5 out of 5 based on 182 votes.
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!
Teacher, do your students have
access to computers?
Here is the URL for a concise version of this page without comments or answers.
Here is the URL which will take them to a differnt type of number puzzle.
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.)