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Prime Factorizatio

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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Is m a multiple of both 18 and 63?

m=32⋅7218=2⋅3263=32⋅7is m a multiple of 18 and 63?\begin{align*}m &= 3^2 \cdot 7^2\\\\[-0.5em]18 &= 2 \cdot 3^2\\[-0.5em]63 &= 3^2 \cdot 7\end{align*}\\\\ \textsf{is }m\textsf{ a multiple of }\\18\textsf{ and }63?

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