This math topic focuses on the skills of prime factorization and determining if one integer is a factor of another using factorization. Students are presented with expressions showing prime factorizations of two numbers. They must then decide if the first number is a factor of the second. Examples include determining if 9 is a factor of 18, if 35 is a factor of 42, and other similar problems. The topic is designed to help learners understand and practice the concepts of factorization and greatest common factors.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Is Integer a Factor - From Value as Factors
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Is 14 a factor of 105
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 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*}15 &= m times y\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }15\textsf{ a factor of}\\30?](https://api.mobius.academy/storedimages/4520175/render)
| Is 15 a factor of 30 |
a
| Yes |
b
| No |
2
![A LaTex expression showing \begin{align*}25 &= y to the power of 2 \\[-0.5em]50 &= 2 times 5 to the power of 2 \end{align*}\\\\ \textsf{is }25\textsf{ a factor of}\\50?](https://api.mobius.academy/storedimages/4520211/render)
| Is 25 a factor of 50 |
a
| Yes |
b
| No |
3
![A LaTex expression showing \begin{align*}4 &= x to the power of 2 \\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }4\textsf{ a factor of}\\30?](https://api.mobius.academy/storedimages/4520158/render)
| Is 4 a factor of 30 |
a
| Yes |
b
| No |
4
![A LaTex expression showing \begin{align*}14 &= c times y\\[-0.5em]105 &= 3 times 5 times 7\end{align*}\\\\ \textsf{is }14\textsf{ a factor of}\\105?](https://api.mobius.academy/storedimages/4520178/render)
| Is 14 a factor of 105 |
a
| Yes |
b
| No |
5
![A LaTex expression showing \begin{align*}6 &= n times p\\[-0.5em]105 &= 3 times 5 times 7\end{align*}\\\\ \textsf{is }6\textsf{ a factor of}\\105?](https://api.mobius.academy/storedimages/4520146/render)
| Is 6 a factor of 105 |
a
| Yes |
b
| No |
6
![A LaTex expression showing \begin{align*}14 &= n times c\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }14\textsf{ a factor of}\\42?](https://api.mobius.academy/storedimages/4520195/render)
| Is 14 a factor of 42 |
a
| Yes |
b
| No |
7
![A LaTex expression showing \begin{align*}9 &= c to the power of 2 \\[-0.5em]18 &= 2 times 3 to the power of 2 \end{align*}\\\\ \textsf{is }9\textsf{ a factor of}\\18?](https://api.mobius.academy/storedimages/4520185/render)
| Is 9 a factor of 18 |
a
| Yes |
b
| No |