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Prime Factorizatio

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 105 a factor of both 770 and 546?

105=3⋅5⋅7770=2⋅5⋅7⋅11546=2⋅3⋅7⋅13is 105 a factor of770 and 546?\begin{align*}105 &= 3 \cdot 5 \cdot 7\\\\[-0.5em]770 &= 2 \cdot 5 \cdot 7 \cdot 11\\[-0.5em]546 &= 2 \cdot 3 \cdot 7 \cdot 13\end{align*}\\\\ \textsf{is }105\textsf{ a factor of}\\770\textsf{ and }546?

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