This math topic focuses on advanced factoring and the determination of whether one integer is a factor of another using prime factorization. Involving skills like breaking numbers down to their prime factors and observing these factors' compatibility, students address questions that ascertain if a given number is a factor of another, based on their prime factor representations. This includes assessing compatibility and powers of prime constituents of the integers in question.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
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Is Integer a Factor - From Value as Factors
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Is 150 a factor of 2310
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Prime Factorization - Is Integer a Factor - From Value as Factors Worksheet
| Math worksheet on 'Prime Factorization - Is Integer a Factor - From Value as Factors (Level 3)'. Part of a broader unit on 'Factoring and Greatest Common Factor - Advanced' Learn online: app.mobius.academy/math/units/factoring_and_greatest_common_factor_advanced/ |
1
![A LaTex expression showing \begin{align*}735 &= n times z times b to the power of 2 \\\\[-0.5em]2310 &= 2 times 3 times 5 times 7 times 11\end{align*}\\\\ \textsf{is }735\textsf{ a factor of}\\2310?](https://api.mobius.academy/storedimages/4907005/render)
| Is 735 a factor of 2310 |
a
| Yes |
b
| No |
2
![A LaTex expression showing \begin{align*}56 &= d to the power of 3 times c\\\\[-0.5em]420 &= 2 to the power of 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }56\textsf{ a factor of}\\420?](https://api.mobius.academy/storedimages/4906953/render)
| Is 56 a factor of 420 |
a
| Yes |
b
| No |
3
![A LaTex expression showing \begin{align*}126 &= m times p to the power of 2 times z\\\\[-0.5em]630 &= 2 times 3 to the power of 2 times 5 times 7\end{align*}\\\\ \textsf{is }126\textsf{ a factor of}\\630?](https://api.mobius.academy/storedimages/4906940/render)
| Is 126 a factor of 630 |
a
| Yes |
b
| No |
4
![A LaTex expression showing \begin{align*}441 &= d to the power of 2 times z to the power of 2 \\\\[-0.5em]1470 &= 2 times 3 times 5 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }441\textsf{ a factor of}\\1470?](https://api.mobius.academy/storedimages/4906981/render)
| Is 441 a factor of 1470 |
a
| Yes |
b
| No |
5
![A LaTex expression showing \begin{align*}441 &= b to the power of 2 times z to the power of 2 \\\\[-0.5em]1470 &= 2 times 3 times 5 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }441\textsf{ a factor of}\\1470?](https://api.mobius.academy/storedimages/4906982/render)
| Is 441 a factor of 1470 |
a
| Yes |
b
| No |
6
![A LaTex expression showing \begin{align*}150 &= n times x times r to the power of 2 \\\\[-0.5em]1050 &= 2 times 3 times 5 to the power of 2 times 7\end{align*}\\\\ \textsf{is }150\textsf{ a factor of}\\1050?](https://api.mobius.academy/storedimages/4907013/render)
| Is 150 a factor of 1050 |
a
| Yes |
b
| No |
7
![A LaTex expression showing \begin{align*}294 &= m times r times z to the power of 2 \\\\[-0.5em]1470 &= 2 times 3 times 5 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }294\textsf{ a factor of}\\1470?](https://api.mobius.academy/storedimages/4907008/render)
| Is 294 a factor of 1470 |
a
| Yes |
b
| No |