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

This math topic focuses on advanced skills in prime factorization, specifically determining if a number is a factor of two other numbers using their prime factorizations. Each problem presents a factor and two products, expressed in prime factorized form, and asks students to determine if the given factor is indeed a factor of both products. The choices provided for each question are simply "Yes" or "No." This set of problems is part of a broader unit exploring Factoring and the Greatest Common Factor at an advanced level.

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Is Number a Factor of Both - From Values as Factors

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Is 16 a factor of both 48 and 80?

16=2448=24380=245is 16 a factor of48 and 80?\begin{align*}16 &= 2^4\\\\[-0.5em]48 &= 2^4 \cdot 3\\[-0.5em]80 &= 2^4 \cdot 5\end{align*}\\\\ \textsf{is }16\textsf{ a factor of}\\48\textsf{ and }80?

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