What is the largest value for n natural number such that 6n divides the product of the first 100 nat...........

Quantitative Aptitude ( CCS) Number System

What is the largest value for n (natural number) such that 6ⁿ divides the product of the first 100 natural numbers?

6ⁿ -> 100! (6 have two factors 2 and 3. 2 has many solutions so we use 3)
100/3 = 33
33/3 = 11
11/3 = 3
3/3 = 1
33+11+3+1 = 48 times

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