Latest Campus Aptitude Question SOLUTION: find the maximum value of n such that 77! is per fectly divisible by 720^n

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(#M40037176) CAMPUS Category question Keep an EYE

find the maximum value of n such that 77! is per fectly divisible by 720^n

Asked In Campus Dada Khalandar (10 years ago)

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Saraswathy  (10 years ago)

720 -> 2^4 * 3^2 * 5^1
To find the max. power of 720, it is enough to find the maximum power of "5"... Since 5 is the largest prime factor here...
77/5^1 + 77/5^2 + 77/5^3 = 15+2+0 = 17 [Quotient only]
Max. power of 5 is 17... Hence max. power of 720 is "17"...

Ans : 17

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Uttam Kumar  (10 years ago)

77/5=15
15/5=3
so no of 5 is the maximum power of n
no of 5 =15+3;
=18 Ans

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