The largest natural number n such that 3ⁿ divides 66 ! is _ _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 8 Apr, Morning shift · Q26

JEE Main 20238 Apr, Morning shiftMathematicsEasyBinomial Theorem and Its Simple Applications131× since 2002

The largest natural number

n

such that

3^{n}

divides

66 !

is ___________.

Your answerType your answer. Integers and decimals are accepted.