Is Number a Multiple of Both - From Variables as Factors (Level 2)

This math topic involves evaluating whether a given number \( z, r, y, b, m, r, \) or \( c \) is a multiple of two other specified numbers using prime factorization and variable exponents. Each question presents expressions where a number is expressed through a multiplication of primes raised to certain powers, and the student must determine if this number is a multiple of two others listed. This involves skills related to factoring, recognizing multiples, and working with lowest common multiples. Each question provides two answer choices: "Yes" or "No."

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Is Number a Multiple of Both - From Variables as Factors

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Is c a multiple of both 30 and 105?

c=325730=235105=357is c a multiple of 30 and 105?\begin{align*}c &= 3^2 \cdot 5 \cdot 7\\\\[-0.5em]30 &= 2 \cdot 3 \cdot 5\\[-0.5em]105 &= 3 \cdot 5 \cdot 7\end{align*}\\\\ \textsf{is }c\textsf{ a multiple of }\\30\textsf{ and }105?

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