JEE Main 8 April 2023, Shift 1, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

The largest natural number

n

such that

3^n

divides

66!

is ______________.

Official answer

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Exponent of Prime in n! (Legendre's Formula)

Same idea in other shifts

Asked 2× in all

2 Apr 2025, Shift 1 · Q6The largest $n\in\mathbf{N}$ such that $3^n$ divides $50!$ is :EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.