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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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Is 45 a factor of both 90 and 315?

45=32⋅590=2⋅32⋅5315=32⋅5⋅7is 45 a factor of90 and 315?\begin{align*}45 &= 3^2 \cdot 5\\\\[-0.5em]90 &= 2 \cdot 3^2 \cdot 5\\[-0.5em]315 &= 3^2 \cdot 5 \cdot 7\end{align*}\\\\ \textsf{is }45\textsf{ a factor of}\\90\textsf{ and }315?

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