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Prime Factorization - Is Number a Multiple - From Value as Factors (Level 2)

This math topic includes exercises on prime factorization and checking if one number is a multiple of another based on their prime factors. The problems involve breaking down each given number into its prime components and verifying if all factors of the divisor are present in the dividend with at least the same multiplicity. It falls under a larger unit on factoring and finding the lowest common multiple, designed to enhance students' understanding of these concepts through practical application. Each question offers a clear setup through given statements with options for a binary 'Yes' or 'No' answer, indicating whether one number is a multiple of the other.

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Is Number a Multiple - From Value as Factors

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Is 1225 a multiple of 245

1225=52⋅72245=5⋅72is 1225 a multiple of 245?\begin{align*}1225 &= 5^2 \cdot 7^2\\[-0.5em]245 &= 5 \cdot 7^2\end{align*}\\\\ \textsf{is }1225\textsf{ a multiple of }245?