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.

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 525 a factor of both 2310 and 4550?

525=35272310=2357114550=252713is 525 a factor of2310 and 4550?\begin{align*}525 &= 3 \cdot 5^2 \cdot 7\\\\[-0.5em]2310 &= 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11\\[-0.5em]4550 &= 2 \cdot 5^2 \cdot 7 \cdot 13\end{align*}\\\\ \textsf{is }525\textsf{ a factor of}\\2310\textsf{ and }4550?

?