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JEE Main202621 January 2026Evening ShiftMathematicsPermutation and CombinationActual

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

Options

  1. A16
  2. B15
  3. C18
  4. D19

Correct answer

A. 16

Step-by-step solution

Exponent of 7 in 101! is: 101 7 + 101 7^2 + 101 7^3 + = 14 + 2 = 16 .

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