Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Prime Factorization
Factorial
Divisibility
Formulas
n divides m! if and only if m! contains all prime factors of n with the required multiplicities
Maximum Power of p in n! = ∑ ⌊n/p^k⌋ for k ≥ 1 until ⌊n/p^k⌋ = 0
Theorems
Prime Factorization Theorem
Divisibility Rules
Suitable Grade Level
Grades 10-12
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