Math Problem Statement
If we multiply all even integers from 22 to 222, what are the last 2 digits of the product?
Solution
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Math Problem Analysis
Mathematical Concepts
Arithmetic Progression
Modular Arithmetic
Prime Factorization
Formulas
n = (last term - first term) / common difference + 1 (for number of terms in an arithmetic progression)
Modulo 100 = 2^2 * 5^2
Theorems
Prime Factorization Theorem
Suitable Grade Level
Grades 9-12
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