Can some one show me how to proof this? or this is just common sense?

Eg: 36:2,3,6

4: 2

9: 3

Thanks

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- May 8th 2012, 09:59 PMcmathwhy is a perfect square has odd number of distinct factors?
Can some one show me how to proof this? or this is just common sense?

Eg: 36:2,3,6

4: 2

9: 3

Thanks - May 8th 2012, 10:29 PMprincepsRe: why is a perfect square has odd number of distinct factors?
For prime number $\displaystyle p$ we have :

$\displaystyle d\left(p^n\right)=n+1$

where d is a divisor function . - May 9th 2012, 03:16 AMSylvia104Re: Why does a perfect square have odd number of distinct factors?