Hello everyone.

I have posted here one of my observations regarding the divisors of some numbers.

I don't know if it is already a law in Mathematics or not but here I go...

I noticed that the even composite numbers which have 6 distinct divisors(including 1 and itself) ,the product of these divisors always came equal to the cube of that number.

e.g. 12=\(1*2*3*4*6*12\)=\(12^{3}\)

similar examples are 18,20,28,32,42,44..................

2nd part

I also noticed that even composite numbers with 8 distinct divisors,the product of the divisors was equal to \(n^{4}\)

e.g. 24=\(1*2*3*4*6*8*12*24\)=\(24^{4}\)

similar examples are: 30,40,......

## Comments

Sort by:

TopNewestCheck out Product of Factors. – Calvin Lin Staff · 1 year, 7 months ago

Log in to reply

Sir,I have some more findings in probability and geometry which I am not sure that if it already exists or not. Can I post it on Brilliant? – Siddharth Singh · 1 year, 7 months ago

Log in to reply

– Calvin Lin Staff · 1 year, 7 months ago

Sure. Do you best to provide an explanation of why the statement is true, or what you've tried to demonstrate that it is true.Log in to reply

If u r sure that this is always correct than congrats....proud of u!!! – Sarvesh Dubey · 1 year, 7 months ago

Log in to reply