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.

more

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 490 a factor of both 1470 and 5390?

490=25721470=235725390=257211is 490 a factor of1470 and 5390?\begin{align*}490 &= 2 \cdot 5 \cdot 7^2\\\\[-0.5em]1470 &= 2 \cdot 3 \cdot 5 \cdot 7^2\\[-0.5em]5390 &= 2 \cdot 5 \cdot 7^2 \cdot 11\end{align*}\\\\ \textsf{is }490\textsf{ a factor of}\\1470\textsf{ and }5390?

?