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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.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Is Number a Multiple - From Variable as Factors

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Is x a multiple of 26

x=2⋅7226=2⋅13is x a multiple of 26?\begin{align*}x &= 2 \cdot 7^2\\[-0.5em]26 &= 2 \cdot 13\end{align*}\\\\ \textsf{is }x\textsf{ a multiple of }26?