# Find the maximum value of n such that 50! is perfectly divisible by 2520^n

+2 votes
asked Jul 19, 2014 in Infosys

## 1 Answer

0 votes
The given question can be written as $\displaystyle\frac{{50!}}{{{{({2^3} \times {3^3} \times 5 \times 7)}^n}}}$
Now maximum power of 7 in 50! is 8. (Refer http://www.campusgate.co.in/2011/10/finding-maximum-power-of-number-divide.html)
So n should take 8.
answered Jul 19, 2014
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