https://www.gregmat.com/quizzes/quiz/of-numbers-in-factorials-ii-quiz (Question 6)
I Don’t think I understand how we arrived at 72 after 66 on this one…
What do understand so we take it from there
Here u are dividing the no of 64 and u are saying no when divided 64 gives u 11.
Here 64 = 2^6.
So obviously 11*6=66 is min no of times the no can be divided by 2.
now consider a scenario where the no is divisible by 67 then also when u are trying to devide by 64 you will be able to do only 11 times because 67/6 , here the whole no part is 11.
Similarly if u consider 71 also this is the case where 71/6 < 12.
The contradiction occurs only from 72.
thats why answer is 71