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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.

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Is Number a Multiple of Both - From Variables as Factors

Is x a multiple of both 77 and 35?

x=5⋅7277=7⋅1135=5⋅7is x a multiple of 77 and 35?\begin{align*}x &= 5 \cdot 7^2\\\\[-0.5em]77 &= 7 \cdot 11\\[-0.5em]35 &= 5 \cdot 7\end{align*}\\\\ \textsf{is }x\textsf{ a multiple of }\\77\textsf{ and }35?

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