Quandaries
and Queries
Hi!
My name is Claudio. I have a problem that I do not know how to solve it. It says:
Find a thousand natural numbers such that their sum equals their product.
Can you help me?. Thanks
Hi Claudio,
When I first read your question my immediate thought was that a thousand is too big, I should start with something smaller.
Find two natural numbers such that their sum equals their product.
This is easy since 2 
2 = 2 + 2.
Find three natural numbers such that their sum equals their product.
Try some small numbers and see if you can solve this.
Now try four natural numbers and see if you can detect a pattern. One thing to keep in mind is that you may want to repeat the same natural number more than once like I did with the 2 above.
Penny