This math topic practices advanced skills related to prime factorization, checking if one number is a multiple of another, and operations using variables expressed as factors. The problems involve analyzing expressions with variables defined as products of primes raised to powers, and determining if one expression (in terms of its numeric evaluation) is a multiple of another. It covers key concepts in factoring and understanding lowest common multiples at an advanced level.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Is Number a Multiple - From Variable as Factors
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Is r a multiple of 525
Prime Factorization - Is Number a Multiple - From Variable as Factors Worksheet
| Math worksheet on 'Prime Factorization - Is Number a Multiple - From Variable 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/ |
1
![A LaTex expression showing \begin{align*}z &= 5 to the power of 4 times 7\\[-0.5em]625 &= 5 to the power of 4 \end{align*}\\\\ \textsf{is }z\textsf{ a multiple of }625?](https://api.mobius.academy/storedimages/4520884/render)
| Is z a multiple of 625 |
a
| Yes |
b
| No |
2
![A LaTex expression showing \begin{align*}y &= 2 times 3 to the power of 3 times 5\\[-0.5em]90 &= 2 times 3 to the power of 2 times 5\end{align*}\\\\ \textsf{is }y\textsf{ a multiple of }90?](https://api.mobius.academy/storedimages/4520948/render)
| Is y a multiple of 90 |
a
| Yes |
b
| No |
3
![A LaTex expression showing \begin{align*}z &= 2 times 3 times 5 times 7 to the power of 2 \\[-0.5em]490 &= 2 times 5 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }z\textsf{ a multiple of }490?](https://api.mobius.academy/storedimages/4520952/render)
| Is z a multiple of 490 |
a
| Yes |
b
| No |
4
![A LaTex expression showing \begin{align*}r &= 3 times 5 to the power of 2 times 7 to the power of 2 \\[-0.5em]735 &= 3 times 5 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }r\textsf{ a multiple of }735?](https://api.mobius.academy/storedimages/4520896/render)
| Is r a multiple of 735 |
a
| Yes |
b
| No |
5
![A LaTex expression showing \begin{align*}x &= 2 times 5 to the power of 2 times 7 to the power of 2 \\[-0.5em]1225 &= 5 to the power of 2 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }x\textsf{ a multiple of }1225?](https://api.mobius.academy/storedimages/4520954/render)
| Is x a multiple of 1225 |
a
| Yes |
b
| No |
6
![A LaTex expression showing \begin{align*}d &= 3 to the power of 3 times 5 times 7\\[-0.5em]189 &= 3 to the power of 3 times 7\end{align*}\\\\ \textsf{is }d\textsf{ a multiple of }189?](https://api.mobius.academy/storedimages/4520907/render)
| Is d a multiple of 189 |
a
| Yes |
b
| No |
7
![A LaTex expression showing \begin{align*}n &= 3 to the power of 2 times 5 to the power of 3 \\[-0.5em]525 &= 3 times 5 to the power of 2 times 7\end{align*}\\\\ \textsf{is }n\textsf{ a multiple of }525?](https://api.mobius.academy/storedimages/4520933/render)
| Is n a multiple of 525 |
a
| Yes |
b
| No |