Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The largest natural number n such that 3n divides 66! is________
Text Solution
Verified by ExpertsThe correct answer is:
31
(31)
We know that,
Maximum value of n for p n where p is prime divides the number a! is given by,
Since, 3 is a prime number, so we have
= 22 + 7 + 2 + 0
= 31
So, maximum value of n is 31.
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