Is Number a Factor of Both - From Variables as Factors (Level 1)

This math topic practices the skill of determining whether one number is a factor of other numbers, using prime factorization. Each problem presents prime factorizations of multiple numbers and asks if a specific factor is common to two given numbers. The learner must understand how to break numbers into their prime factors and check commonality between factorized forms.

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Is Number a Factor of Both - From Variables as Factors

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Is c a factor of both 30 and 66?

c=2730=23566=2311is c a factor of30 and 66?\begin{align*}c &= 2 \cdot 7\\\\[-0.5em]30 &= 2 \cdot 3 \cdot 5\\[-0.5em]66 &= 2 \cdot 3 \cdot 11\end{align*}\\\\ \textsf{is }c\textsf{ a factor of}\\30\textsf{ and }66?

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