This math topic focuses on understanding prime factorization and determining if one number is a factor of another using prime factors. It includes problems where students are given two numbers expressed in their prime factorized forms and need to decide if the first number is a factor of the second. Each problem presents expressions and asks if the variable representing a product of primes is a factor of another number. The skill practiced is crucial for understanding factoring and computing 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 c a factor of 30
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 1)'. 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*}r &= 2 times 3\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }r\textsf{ a factor of}\\30?](https://api.mobius.academy/storedimages/4520741/render)
| Is r a factor of 30 |
a
| Yes |
b
| No |
2
![A LaTex expression showing \begin{align*}x &= 2 times 5\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }x\textsf{ a factor of}\\30?](https://api.mobius.academy/storedimages/4520707/render)
| Is x a factor of 30 |
a
| Yes |
b
| No |
3
![A LaTex expression showing \begin{align*}y &= 2 times 5\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }y\textsf{ a factor of}\\30?](https://api.mobius.academy/storedimages/4520661/render)
| Is y a factor of 30 |
a
| Yes |
b
| No |
4
![A LaTex expression showing \begin{align*}p &= 3 times 7\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }p\textsf{ a factor of}\\42?](https://api.mobius.academy/storedimages/4520733/render)
| Is p a factor of 42 |
a
| Yes |
b
| No |
5
![A LaTex expression showing \begin{align*}m &= 5 to the power of 2 \\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }m\textsf{ a factor of}\\30?](https://api.mobius.academy/storedimages/4520697/render)
| Is m a factor of 30 |
a
| Yes |
b
| No |
6
![A LaTex expression showing \begin{align*}p &= 2 times 5\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }p\textsf{ a factor of}\\42?](https://api.mobius.academy/storedimages/4520751/render)
| Is p a factor of 42 |
a
| Yes |
b
| No |
7
![A LaTex expression showing \begin{align*}m &= 3 times 5\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }m\textsf{ a factor of}\\30?](https://api.mobius.academy/storedimages/4520695/render)
| Is m a factor of 30 |
a
| Yes |
b
| No |