Prime Factorizatio

Is Number a Factor - From Value as Factors (Level 2)

This math topic focuses on determining whether one number is a factor of another through prime factorization. It includes problems where students must compare the prime factorization of two numbers to see if the factors of the first number completely appear in the second. The problems typically format as "Is [first number] a factor of [second number]?" with a structured breakdown of each number’s prime factors. The topic is a part of broader units on factoring and finding the greatest common factor, enhancing students' understanding of number relationships and divisibility rules.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Is Number a Factor - From Value as Factors

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Is 98 a factor of 294

\begin{align*}98 &= 2 \cdot 7^2\\\\[-0.5em]294 &= 2 \cdot 3 \cdot 7^2\end{align*}\\\\ \textsf{is }98\textsf{ a factor of}\\294?

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

Math worksheet on 'Prime Factorization - Is Number a Factor - From Value as Factors (Level 2)'. Part of a broader unit on 'Factoring and Venn Factor Diagrams - Practice' Learn online: app.mobius.academy/math/units/factoring_and_venn_diagrams_practice/

$A LaTex expression showing \begin{align*}105 &= 3 times 5 times 7\\\\[-0.5em]210 &= 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }105\textsf{ a factor of}\\210?$

Is 105 a factor of 210

Yes

$A LaTex expression showing \begin{align*}28 &= 2 to the power of 2 times 7\\\\[-0.5em]210 &= 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }28\textsf{ a factor of}\\210?$

Is 28 a factor of 210

Yes

$A LaTex expression showing \begin{align*}28 &= 2 to the power of 2 times 7\\\\[-0.5em]84 &= 2 to the power of 2 times 3 times 7\end{align*}\\\\ \textsf{is }28\textsf{ a factor of}\\84?$

Is 28 a factor of 84

Yes

$A LaTex expression showing \begin{align*}105 &= 3 times 5 times 7\\\\[-0.5em]462 &= 2 times 3 times 7 times 11\end{align*}\\\\ \textsf{is }105\textsf{ a factor of}\\462?$

Is 105 a factor of 462

Yes

$A LaTex expression showing \begin{align*}12 &= 2 to the power of 2 times 3\\\\[-0.5em]60 &= 2 to the power of 2 times 3 times 5\end{align*}\\\\ \textsf{is }12\textsf{ a factor of}\\60?$

Is 12 a factor of 60

Yes

$A LaTex expression showing \begin{align*}105 &= 3 times 5 times 7\\\\[-0.5em]330 &= 2 times 3 times 5 times 11\end{align*}\\\\ \textsf{is }105\textsf{ a factor of}\\330?$

Is 105 a factor of 330

Yes

$A LaTex expression showing \begin{align*}147 &= 3 times 7 to the power of 2 \\\\[-0.5em]294 &= 2 times 3 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }147\textsf{ a factor of}\\294?$

Is 147 a factor of 294

Yes

Prime Factorizatio

Practice:

Is Number a Factor - From Value as Factors

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