This math topic focuses on prime factorization and determining whether one number is a factor of another. Each problem presents two numbers in prime factor form and poses the question of whether the first number is a factor of the second. The skills practiced here include identifying and working with prime factors, understanding multiple factors, and applying this knowledge to factorization problems within the broader context of factoring and finding the greatest common factor.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Is Number a Factor - From Variable as Factors
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Is z a factor of 330
Prime Factorization - Is Number a Factor - From Variable as Factors Worksheet
| Math worksheet on 'Prime Factorization - Is Number a Factor - From Variable as Factors (Level 2)'. Part of a broader unit on 'Digits and Divisibility - Intro' Learn online: app.mobius.academy/math/units/digits_and_divisibility_intro/ |
1
![A LaTex expression showing \begin{align*}m &= 3 to the power of 2 times 7\\[-0.5em]126 &= 2 times 3 to the power of 2 times 7\end{align*}\\\\ \textsf{is }m\textsf{ a factor of}\\126?](https://api.mobius.academy/storedimages/4520761/render)
| Is m a factor of 126 |
a
| Yes |
b
| No |
2
![A LaTex expression showing \begin{align*}n &= 3 times 5 times 7\\[-0.5em]462 &= 2 times 3 times 7 times 11\end{align*}\\\\ \textsf{is }n\textsf{ a factor of}\\462?](https://api.mobius.academy/storedimages/4520749/render)
| Is n a factor of 462 |
a
| Yes |
b
| No |
3
![A LaTex expression showing \begin{align*}n &= 3 times 5 to the power of 2 \\[-0.5em]150 &= 2 times 3 times 5 to the power of 2 \end{align*}\\\\ \textsf{is }n\textsf{ a factor of}\\150?](https://api.mobius.academy/storedimages/4520678/render)
| Is n a factor of 150 |
a
| Yes |
b
| No |
4
![A LaTex expression showing \begin{align*}d &= 2 times 5 times 7\\[-0.5em]462 &= 2 times 3 times 7 times 11\end{align*}\\\\ \textsf{is }d\textsf{ a factor of}\\462?](https://api.mobius.academy/storedimages/4520764/render)
| Is d a factor of 462 |
a
| Yes |
b
| No |
5
![A LaTex expression showing \begin{align*}d &= 2 times 5 to the power of 2 \\[-0.5em]150 &= 2 times 3 times 5 to the power of 2 \end{align*}\\\\ \textsf{is }d\textsf{ a factor of}\\150?](https://api.mobius.academy/storedimages/4520691/render)
| Is d a factor of 150 |
a
| Yes |
b
| No |
6
![A LaTex expression showing \begin{align*}n &= 2 times 7 to the power of 2 \\[-0.5em]210 &= 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }n\textsf{ a factor of}\\210?](https://api.mobius.academy/storedimages/4520714/render)
| Is n a factor of 210 |
a
| Yes |
b
| No |
7
![A LaTex expression showing \begin{align*}c &= 2 times 3 to the power of 2 \\[-0.5em]315 &= 3 to the power of 2 times 5 times 7\end{align*}\\\\ \textsf{is }c\textsf{ a factor of}\\315?](https://api.mobius.academy/storedimages/4520754/render)
| Is c a factor of 315 |
a
| Yes |
b
| No |