Okay, I found this very interesting way to find perfect numbers.By the way, this question came from Ms Wun's enrichment worksheets(how many of you actually DO them?)
Finding Perfect Numbers
1) 1+2=3(3 is prime)
3x2=6=perfect number =)
2)1+2+4=7 (7 is prime)
4x7=28=perfect no. =)
3)1+2+4+8=15 (15 is not prime)
8x15=120≠perfect no. =(
4)1+2+4+8+16=31 (31 is prime)
16x31=496=perfect no. =)
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and so on...
In "1)" we get 1+2 because 1x2=2. In "2)" we get 1+2+4 because 2x2=4.
And so on
In "1)" we get 3x2 because the two numbers are between the equal sign. Ditto others.
HOWEVER this method will not work for "3)" because 15 is not prime.
Ta-Da! =)
GET IT?
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Wow,how did you come out with this solution?Nevertheless,great effort!This method is so effective because you add up numbers x2 and thus,all the perfect numbers would appear.I had another method but it was not as effective as yours.
ReplyDeleteThis is Bin Hui (18) 1P1