Thursday, May 10, 2018

divisibility - The method of solving for a factor of $90!$


If $90! = (90)(89)(88)...(2)(1)$, then what is the exponent of the highest power of $2$ which will divide $90!$ ?




How would I apply one of the easiest method from Here?



I need help on applying the link to this question.




I do not understand which one explains my case, and how I can solve using the method.



I would appreciate if someone showed how it is applied to this

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