Is Number a Factor of Both - From Values as Factors (Level 2)

This math topic fosters understanding in prime factorization, factoring, and the utilization of greatest common factors. Students practice recognizing if a number is a factor of two other numbers via prime factorization represented in exponential form. The problems prompt students to determine whether a specific number can be a factor of two given numbers by examining their prime factorized forms and common factors. Each question also includes a binary choice (Yes or No) for the answers, guiding students to assess factorization results critically.

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Is Number a Factor of Both - From Values as Factors

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Is 45 a factor of both 126 and 330?

45=325126=2327330=23511is 45 a factor of126 and 330?\begin{align*}45 &= 3^2 \cdot 5\\\\[-0.5em]126 &= 2 \cdot 3^2 \cdot 7\\[-0.5em]330 &= 2 \cdot 3 \cdot 5 \cdot 11\end{align*}\\\\ \textsf{is }45\textsf{ a factor of}\\126\textsf{ and }330?

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