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

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

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

$A LaTex expression showing \begin{align*}8575 &= 5 to the power of 2 times 7 to the power of 3 \\\\[-0.5em]1225 &= 5 to the power of 2 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }8575\textsf{ a multiple of }1225?$

Is 8575 a multiple of 1225

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

$A LaTex expression showing \begin{align*}12005 &= 5 times 7 to the power of 4 \\\\[-0.5em]3773 &= 7 to the power of 3 times 11\end{align*}\\\\ \textsf{is }12005\textsf{ a multiple of }3773?$

Is 12005 a multiple of 3773

Yes

$A LaTex expression showing \begin{align*}700 &= 2 to the power of 2 times 5 to the power of 2 times 7\\\\[-0.5em]140 &= 2 to the power of 2 times 5 times 7\end{align*}\\\\ \textsf{is }700\textsf{ a multiple of }140?$

Is 700 a multiple of 140

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

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

Is 2625 a multiple of 210

Yes

$A LaTex expression showing \begin{align*}2450 &= 2 times 5 to the power of 2 times 7 to the power of 2 \\\\[-0.5em]490 &= 2 times 5 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }2450\textsf{ a multiple of }490?$

Is 2450 a multiple of 490

Yes

$A LaTex expression showing \begin{align*}1372 &= 2 to the power of 2 times 7 to the power of 3 \\\\[-0.5em]196 &= 2 to the power of 2 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }1372\textsf{ a multiple of }196?$

Is 1372 a multiple of 196

Yes