27 Aug 2013

Amicable Numbers: Lower Secondary Mathematics Competition Question

The sum of the proper divisors of a positive integer n, spd(n), is the sum of the factors that includes 1 but excludes n itself.

A pair of numbers, m and n, is said to be amicable if spd(n)=m and spd(m)=n. The smallest such pair of numbers is 220 and 284.

Which of the following numbers form another pair of amicable numbers?

1174, 1184, 1210, 2394, 2924.




Feel free to comment, ask questions and even check your answer in the comments box below powered by Disqus Google+.

}

This space is here to avoid seeing the answers before trying the problem!

}

If you enjoy using this website then please consider making a donation - every little helps :-)

You can receive these questions directly to your email box or read them in an RSS reader. Subscribe using the links on the right.

Don’t forget to follow Gifted Mathematics on Google+Facebook or Twitter. You may add your own interesting questions on our Google+ Community and Facebook..

You can also subscribe to our Bookmarks on StumbleUpon and Pinterest. Many resources never make it onto the pages of Gifted Mathematics but are stored in these bookmarking websites to share with you.


No comments:

Post a Comment

Related Posts Plugin for WordPress, Blogger...