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.
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Practice:
Is Integer a Factor - From Value as Factors
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Is 1225 a factor of 2450
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*}196 &= n to the power of 2 times r to the power of 2 \\[-0.5em]588 &= 2 to the power of 2 times 3 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }196\textsf{ a factor of}\\588?](https://api.mobius.academy/storedimages/4520164/render)
| Is 196 a factor of 588 |
a
| Yes |
b
| No |
2
![A LaTex expression showing \begin{align*}100 &= y to the power of 2 times d to the power of 2 \\[-0.5em]1050 &= 2 times 3 times 5 to the power of 2 times 7\end{align*}\\\\ \textsf{is }100\textsf{ a factor of}\\1050?](https://api.mobius.academy/storedimages/4520201/render)
| Is 100 a factor of 1050 |
a
| Yes |
b
| No |
3
![A LaTex expression showing \begin{align*}100 &= r to the power of 2 times z to the power of 2 \\[-0.5em]300 &= 2 to the power of 2 times 3 times 5 to the power of 2 \end{align*}\\\\ \textsf{is }100\textsf{ a factor of}\\300?](https://api.mobius.academy/storedimages/4520199/render)
| Is 100 a factor of 300 |
a
| Yes |
b
| No |
4
![A LaTex expression showing \begin{align*}315 &= r to the power of 2 times y times c\\[-0.5em]630 &= 2 times 3 to the power of 2 times 5 times 7\end{align*}\\\\ \textsf{is }315\textsf{ a factor of}\\630?](https://api.mobius.academy/storedimages/4520167/render)
| Is 315 a factor of 630 |
a
| Yes |
b
| No |
5
![A LaTex expression showing \begin{align*}375 &= c times p to the power of 3 \\[-0.5em]750 &= 2 times 3 times 5 to the power of 3 \end{align*}\\\\ \textsf{is }375\textsf{ a factor of}\\750?](https://api.mobius.academy/storedimages/4520200/render)
| Is 375 a factor of 750 |
a
| Yes |
b
| No |
6
![A LaTex expression showing \begin{align*}350 &= p times m to the power of 2 times b\\[-0.5em]2310 &= 2 times 3 times 5 times 7 times 11\end{align*}\\\\ \textsf{is }350\textsf{ a factor of}\\2310?](https://api.mobius.academy/storedimages/4520184/render)
| Is 350 a factor of 2310 |
a
| Yes |
b
| No |
7
![A LaTex expression showing \begin{align*}1225 &= m to the power of 2 times y to the power of 2 \\[-0.5em]2450 &= 2 times 5 to the power of 2 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }1225\textsf{ a factor of}\\2450?](https://api.mobius.academy/storedimages/4520205/render)
| Is 1225 a factor of 2450 |
a
| Yes |
b
| No |