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Divisors strange

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,......

Note by Siddharth Singh
2 years, 6 months ago

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Check out Product of Factors.

Calvin Lin Staff - 2 years, 6 months ago

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Oh! I had not read that nor did I knew.Thank you very much,now I have came to know that it already exists.

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 - 2 years, 6 months ago

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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.

Calvin Lin Staff - 2 years, 6 months ago

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If u r sure that this is always correct than congrats....proud of u!!!

Sarvesh Dubey - 2 years, 6 months ago

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