Is Number a Multiple - From Value as Factors (Level 3)

This math topic focuses on advanced skills related to prime factorization, determining if one number is a multiple of another, and understanding value representations as factors. Specifically, it entails evaluating given numbers expressed in factorized forms, to ascertain if one is a multiple of another utilizing their prime factorization. The problems provide factorized expressions for two numbers and ask if the first is a multiple of the second, offering a deeper insight into factoring and lowest common multiples. The format includes multiple-choice answers to validate understanding.

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Is Number a Multiple - From Value as Factors

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Is 700 a multiple of 140

700=22527140=2257is 700 a multiple of 140?\begin{align*}700 &= 2^2 \cdot 5^2 \cdot 7\\\\[-0.5em]140 &= 2^2 \cdot 5 \cdot 7\end{align*}\\\\ \textsf{is }700\textsf{ a multiple of }140?

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