The largest n, for which 7ⁿ divides 101!, is:

Binomial Theorem and Its Simple Applications: JEE Main 2026 Mathematics question

JEE Main 2026 · 21 Jan, Evening shift · Q19

JEE Main 202621 Jan, Evening shiftMathematicsEasyBinomial Theorem and Its Simple Applications131× since 2002

The largest

n\in\mathbf{N}

, for which

7^n

divides

101!

, is :

JEE Main 2026 · 21 Jan, Evening shift · Q19

JEE Main 202621 Jan, Evening shiftMathematicsEasyBinomial Theorem and Its Simple Applications131× since 2002

The largest

n\in\mathbf{N}

, for which

7^n

divides

101!

, is :