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Prime Factorization

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."

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Is Number a Multiple of Both - From Variables as Factors

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Is b a multiple of both 63 and 147?

b=32⋅7263=32⋅7147=3⋅72is b a multiple of 63 and 147?\begin{align*}b &= 3^2 \cdot 7^2\\\\[-0.5em]63 &= 3^2 \cdot 7\\[-0.5em]147 &= 3 \cdot 7^2\end{align*}\\\\ \textsf{is }b\textsf{ a multiple of }\\63\textsf{ and }147?

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