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.

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Is Number a Multiple - From Variable as Factors


Is n a multiple of 35

n=3⋅5235=5⋅7is n a multiple of 35?\begin{align*}n &= 3 \cdot 5^2\\\\[-0.5em]35 &= 5 \cdot 7\end{align*}\\\\ \textsf{is }n\textsf{ a multiple of }35?

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