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Prime Factorization - Is Integer a Factor of Both - From Values as Factors (Level 3)

This math topic focuses on advanced factoring skills and the determination of common factors in different numbers. It employs prime factorization to assess whether a given integer is a factor of two other numbers. Problems present equations involving exponentiation and multiplication of prime numbers, requiring students to decide if one number is a factor of the others listed. Each question is structured with two potential answers: "Yes" or "No." This analysis aids students in understanding factor relationships and the concept of the greatest common factor at a deeper level.

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

Is Integer 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 90 a factor of both 2310 and 1638?

90=m⋅c2⋅y2310=2⋅3⋅5⋅7⋅111638=2⋅32⋅7⋅13is 90 a factor of2310 and 1638?\begin{align*}90 &= m \cdot c^2 \cdot y\\[-0.5em]2310 &= 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11\\[-0.5em]1638 &= 2 \cdot 3^2 \cdot 7 \cdot 13\end{align*}\\\\ \textsf{is }90\textsf{ a factor of}\\2310\textsf{ and }1638?