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Prime Factorization

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

Is 1323 a multiple of 441

1323=33⋅72441=32⋅72is 1323 a multiple of 441?\begin{align*}1323 &= 3^3 \cdot 7^2\\\\[-0.5em]441 &= 3^2 \cdot 7^2\end{align*}\\\\ \textsf{is }1323\textsf{ a multiple of }441?

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