Abundant Numbers


Many people worked well on this problem. Some of the best efforts came from, Rebecca , Rebecca G , Chung , Jasmine , Liana and Stephie from Crofton Junior School, Kent, Jessica , Jaimee and Christopher from Tattingstone School, UK. These people did well because they tried to find lots of Abundant Numbers and showed all the factors they'd used. Rachel from Crofton Junior School, Kent did a particularly good job of testing the first 80 counting numbers.

Here is a list of abundant numbers. I'm sure there are many more!
abundant



Rowena noticed that the example given (48) had a lot of factors, and so used this idea to choose some numbers that she knew had lots of factors to test (12 and 24).

Peter has spotted another three abundant numbers under 100: 66, 88 and 96. Thanks for letting us know, Peter.

Daniel from Anglo-Chinese School, Singapore noticed something else about Abundant numbers. Does this always work? Why or why not?

1
Chung from Crofton Junior School, Kent found enough factors of one million to be sure is was an abundant number!