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Prime Factorization - Is Number a Multiple - From Variable as Factors (Level 1)

This math topic focuses on practicing prime factorization and determining if one number is a multiple of another by analyzing their prime factors. The questions provide pairs of numbers written in factorized form, and students are asked to determine whether the first number is a multiple of the second. This involves analyzing the exponents of the constituent prime factors. Each question provides a direct "Yes" or "No" choice, guiding the student to apply their understanding of prime factorization and the properties of multiples. This topic is part of a broader unit on factoring and finding the lowest common multiple.

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Is Number a Multiple - From Variable as Factors

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Is c a multiple of 6

c=22⋅56=2⋅3is c a multiple of 6?\begin{align*}c &= 2^2 \cdot 5\\[-0.5em]6 &= 2 \cdot 3\end{align*}\\\\ \textsf{is }c\textsf{ a multiple of }6?