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Prime Factorizatio

Is Number a Multiple of Both - From Values as Factors (Level 3)

This math topic focuses on advanced concepts of prime factorization and checking whether one number is a multiple of others, using their prime factorized forms. It involves determining if a primary number is a multiple of two other numbers by analyzing their factorized structures, as presented in the format of prime factors raised to appropriate exponents. Additionally, this topic falls under a broader unit on factoring and finding the lowest common multiple, targeting an advanced understanding of these concepts. Each problem presents a situation to decide if one number is a multiple of the others provided, with a choice of 'Yes' or 'No' as answers.

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Is Number a Multiple of Both - From Values as Factors

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

Is 980 a multiple of both 140 and 490?

980=22⋅5⋅72140=22⋅5⋅7490=2⋅5⋅72is 980 a multiple of 140 and 490?\begin{align*}980 &= 2^2 \cdot 5 \cdot 7^2\\\\[-0.5em]140 &= 2^2 \cdot 5 \cdot 7\\[-0.5em]490 &= 2 \cdot 5 \cdot 7^2\end{align*}\\\\ \textsf{is }980\textsf{ a multiple of }\\140\textsf{ and }490?

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