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max k, 11^k |n, n! |2023 - 2023 Chile NMO L1 P2 - L2 P1

Source:

May 19, 2024

number theorydivides

Problem Statement

Let

n

be a natural number such that

n!

is a multiple of

2023

and is not divisible by

37

. Find the largest power of

11

that divides

n!