HomePricing
Sign InJoin

Prime Factorization - 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.

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

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 75 a factor of both 150 and 525?

75=3⋅52150=2⋅3⋅52525=3⋅52⋅7is 75 a factor of150 and 525?\begin{align*}75 &= 3 \cdot 5^2\\[-0.5em]150 &= 2 \cdot 3 \cdot 5^2\\[-0.5em]525 &= 3 \cdot 5^2 \cdot 7\end{align*}\\\\ \textsf{is }75\textsf{ a factor of}\\150\textsf{ and }525?