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Prime Factorizatio

Is Number a Factor of Both - From Values as Factors (Level 3)

This math topic focuses on advanced skills in prime factorization, specifically determining if a number is a factor of two other numbers using their prime factorizations. Each problem presents a factor and two products, expressed in prime factorized form, and asks students to determine if the given factor is indeed a factor of both products. The choices provided for each question are simply "Yes" or "No." This set of problems is part of a broader unit exploring Factoring and the Greatest Common Factor at an advanced level.

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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 210 a factor of both 10010 and 5610?

210=2⋅3⋅5⋅710010=2⋅5⋅7⋅11⋅135610=2⋅3⋅5⋅11⋅17is 210 a factor of10010 and 5610?\begin{align*}210 &= 2 \cdot 3 \cdot 5 \cdot 7\\\\[-0.5em]10010 &= 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13\\[-0.5em]5610 &= 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17\end{align*}\\\\ \textsf{is }210\textsf{ a factor of}\\10010\textsf{ and }5610?

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