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Prime Factorization

Is Number a Multiple of Both - From Values as Factors (Level 3)

This math topic focuses on advanced concepts of prime factorization and checking whether one number is a multiple of others, using their prime factorized forms. It involves determining if a primary number is a multiple of two other numbers by analyzing their factorized structures, as presented in the format of prime factors raised to appropriate exponents. Additionally, this topic falls under a broader unit on factoring and finding the lowest common multiple, targeting an advanced understanding of these concepts. Each problem presents a situation to decide if one number is a multiple of the others provided, with a choice of 'Yes' or 'No' as answers.

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

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Is Number a Multiple of Both - From Values as Factors

Is 252 a multiple of both 90 and 126?

252=22⋅32⋅790=2⋅32⋅5126=2⋅32⋅7is 252 a multiple of 90 and 126?\begin{align*}252 &= 2^2 \cdot 3^2 \cdot 7\\\\[-0.5em]90 &= 2 \cdot 3^2 \cdot 5\\[-0.5em]126 &= 2 \cdot 3^2 \cdot 7\end{align*}\\\\ \textsf{is }252\textsf{ a multiple of }\\90\textsf{ and }126?

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