Exponent of a Prime in n!

JEE Main Mathematics · Permutations and Combinations · 4 questions, latest first

• The largest value of n, for which 40^n divides 60!, is202624 January, Shift 2 · Q7
• The largest n ∈ N, for which 7^n divides 101!, is:202621 January, Shift 2 · Q9
• The largest n ∈ N such that 3^n divides 50! is:20252 April, Shift 1 · Q6
• The largest natural number n such that 3^n divides 66! is ____.20238 April, Shift 1 · Q26