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.

more

Is Integer a Factor of Both - From Values as Factors

Complete this topic with 80% correct, working as fast as you can! Results are immediate.

0:00.0


Is 140 a factor of both 420 and 1540?

140=p2cm420=223571540=225711is 140 a factor of420 and 1540?\begin{align*}140 &= p^2 \cdot c \cdot m\\\\[-0.5em]420 &= 2^2 \cdot 3 \cdot 5 \cdot 7\\[-0.5em]1540 &= 2^2 \cdot 5 \cdot 7 \cdot 11\end{align*}\\\\ \textsf{is }140\textsf{ a factor of}\\420\textsf{ and }1540?

?