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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.

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

Is Number a Multiple of Both - From Variables as Factors

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Is d a multiple of both 55 and 10?

d=2⋅5⋅755=5⋅1110=2⋅5is d a multiple of 55 and 10?\begin{align*}d &= 2 \cdot 5 \cdot 7\\[-0.5em]55 &= 5 \cdot 11\\[-0.5em]10 &= 2 \cdot 5\end{align*}\\\\ \textsf{is }d\textsf{ a multiple of }\\55\textsf{ and }10?