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.

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Is Number a Multiple - From Value as Factors

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Is 1372 a multiple of 196

\begin{align*}1372 &= 2^2 \cdot 7^3\\\\[-0.5em]196 &= 2^2 \cdot 7^2\end{align*}\\\\ \textsf{is }1372\textsf{ a multiple of }196?

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

Math worksheet on 'Prime Factorization - Is Number a Multiple - From Value as Factors (Level 3)'. Part of a broader unit on 'Factoring and Lowest Common Multiple - Advanced' Learn online: app.mobius.academy/math/units/factoring_and_lowest_common_multiple_advanced/

$A LaTex expression showing \begin{align*}2625 &= 3 times 5 to the power of 3 times 7\\\\[-0.5em]525 &= 3 times 5 to the power of 2 times 7\end{align*}\\\\ \textsf{is }2625\textsf{ a multiple of }525?$

Is 2625 a multiple of 525

Yes

$A LaTex expression showing \begin{align*}2450 &= 2 times 5 to the power of 2 times 7 to the power of 2 \\\\[-0.5em]550 &= 2 times 5 to the power of 2 times 11\end{align*}\\\\ \textsf{is }2450\textsf{ a multiple of }550?$

Is 2450 a multiple of 550

Yes

$A LaTex expression showing \begin{align*}2625 &= 3 times 5 to the power of 3 times 7\\\\[-0.5em]210 &= 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }2625\textsf{ a multiple of }210?$

Is 2625 a multiple of 210

Yes

$A LaTex expression showing \begin{align*}252 &= 2 to the power of 2 times 3 to the power of 2 times 7\\\\[-0.5em]84 &= 2 to the power of 2 times 3 times 7\end{align*}\\\\ \textsf{is }252\textsf{ a multiple of }84?$

Is 252 a multiple of 84

Yes

$A LaTex expression showing \begin{align*}630 &= 2 times 3 to the power of 2 times 5 times 7\\\\[-0.5em]210 &= 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }630\textsf{ a multiple of }210?$

Is 630 a multiple of 210

Yes

$A LaTex expression showing \begin{align*}1050 &= 2 times 3 times 5 to the power of 2 times 7\\\\[-0.5em]350 &= 2 times 5 to the power of 2 times 7\end{align*}\\\\ \textsf{is }1050\textsf{ a multiple of }350?$

Is 1050 a multiple of 350

Yes

$A LaTex expression showing \begin{align*}1050 &= 2 times 3 times 5 to the power of 2 times 7\\\\[-0.5em]330 &= 2 times 3 times 5 times 11\end{align*}\\\\ \textsf{is }1050\textsf{ a multiple of }330?$

Is 1050 a multiple of 330

Yes

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

Practice:

Is Number a Multiple - From Value as Factors

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