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


Is r a factor of both 42 and 70?

r=2742=23770=257is r a factor of42 and 70?\begin{align*}r &= 2 \cdot 7\\\\[-0.5em]42 &= 2 \cdot 3 \cdot 7\\[-0.5em]70 &= 2 \cdot 5 \cdot 7\end{align*}\\\\ \textsf{is }r\textsf{ a factor of}\\42\textsf{ and }70?

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