Math Problem Statement

Find the number of last zeros in the product of the expression (23× 34× 56× 35× 57× 79× 810+ 45× 56× 67× 78-102× 153× 204)?

Solution

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Math Problem Analysis

Mathematical Concepts

Number Theory
Prime Factorization
Trailing Zeros

Formulas

Number of trailing zeros = min(factors of 2, factors of 5)

Theorems

Fundamental Theorem of Arithmetic (Prime Factorization)
Concept of Trailing Zeros (based on powers of 10)

Suitable Grade Level

Grades 9-12