Prime Factorization - Is Number a Factor - From Variable as Factors (Level 1)

Is Number a Factor - From Variable as Factors (Level 1)

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.

ViewUnit

Prime Factorization - Is Number a Factor - From Variable as Factors Worksheet

Prime Factorization - Is Number a Factor - From Variable as Factors

$A LaTex expression showing \begin{align*}m &= 2 times 5\\\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }m\textsf{ a factor of}\\30?$

Is m a factor of 30

Yes

$A LaTex expression showing \begin{align*}p &= 3 times 7\\\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }p\textsf{ a factor of}\\42?$

Is p a factor of 42

Yes

$A LaTex expression showing \begin{align*}y &= 3 to the power of 2 \\\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }y\textsf{ a factor of}\\30?$

Is y a factor of 30

Yes

$A LaTex expression showing \begin{align*}p &= 2 times 3\\\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }p\textsf{ a factor of}\\30?$

Is p a factor of 30

Yes

$A LaTex expression showing \begin{align*}z &= 2 times 5\\\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }z\textsf{ a factor of}\\42?$

Is z a factor of 42

Yes

$A LaTex expression showing \begin{align*}b &= 2 times 7\\\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }b\textsf{ a factor of}\\42?$

Is b a factor of 42

Yes

$A LaTex expression showing \begin{align*}b &= 2 times 3\\\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }b\textsf{ a factor of}\\30?$

Is b a factor of 30

Yes

$A LaTex expression showing \begin{align*}x &= 3 times 7\\\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }x\textsf{ a factor of}\\42?$

Is x a factor of 42

Yes