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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.

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Is Integer a Factor of Both - From Values as Factors

Is 375 a factor of both 1050 and 2750?

375=n⋅d31050=2⋅3⋅52⋅72750=2⋅53⋅11is 375 a factor of1050 and 2750?\begin{align*}375 &= n \cdot d^3\\\\[-0.5em]1050 &= 2 \cdot 3 \cdot 5^2 \cdot 7\\[-0.5em]2750 &= 2 \cdot 5^3 \cdot 11\end{align*}\\\\ \textsf{is }375\textsf{ a factor of}\\1050\textsf{ and }2750?

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