Prime Factorization - Is Number a Multiple of Both - From Variables as Factors (Level 1)

This math topic covers skills in prime factorization, identifying multiples, and using variables as factors. The problems involve determining whether a given product expressed through a combination of primes and variables is a multiple of other specified products. Each question presents expressions and asks if one is a multiple of the others, with options for yes or no answers. The focus is on understanding factorization and the principles of multiples within the context of higher-level arithmetic operations, notably within a unit focused on factoring and finding the lowest common multiples.

Is Number a Multiple of Both - From Variables as Factors

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Is b a multiple of both 21 and 9?

b=32721=379=32is b a multiple of 21 and 9?\begin{align*}b &= 3^2 \cdot 7\\\\[-0.5em]21 &= 3 \cdot 7\\[-0.5em]9 &= 3^2\end{align*}\\\\ \textsf{is }b\textsf{ a multiple of }\\21\textsf{ and }9?