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.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Is Number a Factor of Both - From Values as Factors


Is 1225 a factor of both 2450 and 3675?

1225=52722450=252723675=35272is 1225 a factor of2450 and 3675?\begin{align*}1225 &= 5^2 \cdot 7^2\\\\[-0.5em]2450 &= 2 \cdot 5^2 \cdot 7^2\\[-0.5em]3675 &= 3 \cdot 5^2 \cdot 7^2\end{align*}\\\\ \textsf{is }1225\textsf{ a factor of}\\2450\textsf{ and }3675?

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