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.

more

Is Number a Factor of Both - From Values as Factors


Is 105 a factor of both 330 and 910?

105=357330=23511910=25713is 105 a factor of330 and 910?\begin{align*}105 &= 3 \cdot 5 \cdot 7\\\\[-0.5em]330 &= 2 \cdot 3 \cdot 5 \cdot 11\\[-0.5em]910 &= 2 \cdot 5 \cdot 7 \cdot 13\end{align*}\\\\ \textsf{is }105\textsf{ a factor of}\\330\textsf{ and }910?

?