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Friday, 9 October

JEE Main Maths · Binomial Theorem

Exponent of Prime in n! (Legendre's Formula)

Exponent of Prime in n! (Legendre's Formula) (Binomial Theorem) was asked once in the 42 JEE Main shifts Lumi analysed, in 2025.

Times asked
1
in 1 shift
Years
2025
Usual format
Single correct
Calculation
Pattern
New since 2024
asked once so far

How it is asked

  • Largest power of prime in factorial

Difficulty

Easy 1Medium 0Hard 0

Every time it came

The question

Newest first, each with its options and official answer.

  1. 2 Apr 2025, Shift 1 · Q6The largest n∈Nn\in\mathbf{N} such that 3n3^n divides 50!50! is :EasySingle correct