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.

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

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Is Number a Multiple - From Value as Factors

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Is 8575 a multiple of 1225

8575=52731225=5272is 8575 a multiple of 1225?\begin{align*}8575 &= 5^2 \cdot 7^3\\\\[-0.5em]1225 &= 5^2 \cdot 7^2\end{align*}\\\\ \textsf{is }8575\textsf{ a multiple of }1225?

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