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Prime Factorization - Is Number a Multiple - From Variable as Factors (Level 2)

This math topic focuses on prime factorization and understanding multiples from expressions involving variables represented as factors. It is part of a broader unit on factoring and finding the least common multiple. The problems presented involve analyzing algebraic expressions to determine if one is a multiple of another. Each question provides expressions with prime factors for two numbers and asks whether one number is a multiple of the other, with options to answer 'Yes' or 'No'. This helps in reinforcing the understanding of factorization and its practical application in evaluating multiples.

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Is Number a Multiple - From Variable as Factors

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Is x a multiple of 102

x=2⋅3⋅72102=2⋅3⋅17is x a multiple of 102?\begin{align*}x &= 2 \cdot 3 \cdot 7^2\\[-0.5em]102 &= 2 \cdot 3 \cdot 17\end{align*}\\\\ \textsf{is }x\textsf{ a multiple of }102?