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.

more

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 490 a factor of both 1470 and 5390?

490=zcb21470=235725390=257211is 490 a factor of1470 and 5390?\begin{align*}490 &= z \cdot c \cdot b^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?

?