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

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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Prime Factorization - Is Number a Multiple - From Value as Factors Worksheet

Prime Factorization - Is Number a Multiple - From Value as Factors

$A LaTex expression showing \begin{align*}60 &= 2 to the power of 2 times 3 times 5\\\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }60\textsf{ a multiple of }30?$

Is 60 a multiple of 30

Yes

$A LaTex expression showing \begin{align*}60 &= 2 to the power of 2 times 3 times 5\\\\[-0.5em]20 &= 2 to the power of 2 times 5\end{align*}\\\\ \textsf{is }60\textsf{ a multiple of }20?$

Is 60 a multiple of 20

Yes

$A LaTex expression showing \begin{align*}490 &= 2 times 5 times 7 to the power of 2 \\\\[-0.5em]154 &= 2 times 7 times 11\end{align*}\\\\ \textsf{is }490\textsf{ a multiple of }154?$

Is 490 a multiple of 154

Yes

$A LaTex expression showing \begin{align*}196 &= 2 to the power of 2 times 7 to the power of 2 \\\\[-0.5em]28 &= 2 to the power of 2 times 7\end{align*}\\\\ \textsf{is }196\textsf{ a multiple of }28?$

Is 196 a multiple of 28

Yes

$A LaTex expression showing \begin{align*}126 &= 2 times 3 to the power of 2 times 7\\\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }126\textsf{ a multiple of }42?$

Is 126 a multiple of 42

Yes

$A LaTex expression showing \begin{align*}735 &= 3 times 5 times 7 to the power of 2 \\\\[-0.5em]147 &= 3 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }735\textsf{ a multiple of }147?$

Is 735 a multiple of 147

Yes

$A LaTex expression showing \begin{align*}84 &= 2 to the power of 2 times 3 times 7\\\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }84\textsf{ a multiple of }42?$

Is 84 a multiple of 42

Yes

$A LaTex expression showing \begin{align*}441 &= 3 to the power of 2 times 7 to the power of 2 \\\\[-0.5em]98 &= 2 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }441\textsf{ a multiple of }98?$

Is 441 a multiple of 98

Yes