This math topic focuses on prime factorization and determining whether one number is a factor of another. It involves comparing the prime factors of two numbers to ascertain if the first number's prime factors completely divide the second number without a remainder. Each question presents two numbers in prime factored form and asks if the first number is a factor of the second. This skill is pertinent for understanding advanced concepts in factoring and greatest common factors.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
morePractice:
Is Number a Factor - From Variable as Factors
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Is x a factor of 1050
Earned ?
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 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*}m &= 2 to the power of 2 times 3 to the power of 2 \\\\[-0.5em]180 &= 2 to the power of 2 times 3 to the power of 2 times 5\end{align*}\\\\ \textsf{is }m\textsf{ a factor of}\\180?](https://api.mobius.academy/storedimages/4907533/render)
| Is m a factor of 180 |
a
| Yes |
b
| No |
2
![A LaTex expression showing \begin{align*}x &= 2 times 3 to the power of 2 times 7\\\\[-0.5em]2310 &= 2 times 3 times 5 times 7 times 11\end{align*}\\\\ \textsf{is }x\textsf{ a factor of}\\2310?](https://api.mobius.academy/storedimages/4907542/render)
| Is x a factor of 2310 |
a
| Yes |
b
| No |
3
![A LaTex expression showing \begin{align*}n &= 2 times 5 times 7 to the power of 2 \\\\[-0.5em]1470 &= 2 times 3 times 5 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }n\textsf{ a factor of}\\1470?](https://api.mobius.academy/storedimages/4907512/render)
| Is n a factor of 1470 |
a
| Yes |
b
| No |
4
![A LaTex expression showing \begin{align*}z &= 3 to the power of 2 times 5 times 7\\\\[-0.5em]990 &= 2 times 3 to the power of 2 times 5 times 11\end{align*}\\\\ \textsf{is }z\textsf{ a factor of}\\990?](https://api.mobius.academy/storedimages/4907537/render)
| Is z a factor of 990 |
a
| Yes |
b
| No |
5
![A LaTex expression showing \begin{align*}x &= 2 times 3 times 5 times 7\\\\[-0.5em]2310 &= 2 times 3 times 5 times 7 times 11\end{align*}\\\\ \textsf{is }x\textsf{ a factor of}\\2310?](https://api.mobius.academy/storedimages/4907587/render)
| Is x a factor of 2310 |
a
| Yes |
b
| No |
6
![A LaTex expression showing \begin{align*}b &= 2 times 3 times 7 to the power of 2 \\\\[-0.5em]8085 &= 3 times 5 times 7 to the power of 2 times 11\end{align*}\\\\ \textsf{is }b\textsf{ a factor of}\\8085?](https://api.mobius.academy/storedimages/4907496/render)
| Is b a factor of 8085 |
a
| Yes |
b
| No |
7
![A LaTex expression showing \begin{align*}d &= 3 to the power of 2 times 5 times 7\\\\[-0.5em]630 &= 2 times 3 to the power of 2 times 5 times 7\end{align*}\\\\ \textsf{is }d\textsf{ a factor of}\\630?](https://api.mobius.academy/storedimages/4907492/render)
| Is d a factor of 630 |
a
| Yes |
b
| No |