Divisors of factorials II

What is the smallest value of n n for which n ! n! is divisible by 7 2 7^2 ?

Notation: ! ! denotes the factorial notation . For example: 8 ! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 8!=1\times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8


The answer is 14.

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1 solution

X X
May 24, 2019

You'll only need two 7s, so 7 and 14 will do it

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