Prime Factorizatio

Is Number a Factor - From Value as Factors (Level 3)

This math topic focuses on advanced factoring and determining if one number is a factor of another using prime factorization. It delves into comparing the prime factors of two numbers to establish whether one number can completely divide the other without leaving a remainder. Each problem presents two numbers with their prime factorizations and asks if the first number is a factor of the second. The implicit skills practiced include prime factorization, understanding exponents in prime factors, and fundamental divisibility rules within the context of advanced factoring and greatest common factors.

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 210 a factor of 15015

\begin{align*}210 &= 2 \cdot 3 \cdot 5 \cdot 7\\\\[-0.5em]15015 &= 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13\end{align*}\\\\ \textsf{is }210\textsf{ a factor of}\\15015?

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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 3)'. Part of a broader unit on 'Factoring and Greatest Common Factor - Intro' Learn online: app.mobius.academy/math/units/factoring_and_greatest_common_factor_intro/

$A LaTex expression showing \begin{align*}210 &= 2 times 3 times 5 times 7\\\\[-0.5em]6006 &= 2 times 3 times 7 times 11 times 13\end{align*}\\\\ \textsf{is }210\textsf{ a factor of}\\6006?$

Is 210 a factor of 6006

Yes

$A LaTex expression showing \begin{align*}189 &= 3 to the power of 3 times 7\\\\[-0.5em]378 &= 2 times 3 to the power of 3 times 7\end{align*}\\\\ \textsf{is }189\textsf{ a factor of}\\378?$

Is 189 a factor of 378

Yes

$A LaTex expression showing \begin{align*}150 &= 2 times 3 times 5 to the power of 2 \\\\[-0.5em]1050 &= 2 times 3 times 5 to the power of 2 times 7\end{align*}\\\\ \textsf{is }150\textsf{ a factor of}\\1050?$

Is 150 a factor of 1050

Yes

$A LaTex expression showing \begin{align*}196 &= 2 to the power of 2 times 7 to the power of 2 \\\\[-0.5em]420 &= 2 to the power of 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }196\textsf{ a factor of}\\420?$

Is 196 a factor of 420

Yes

$A LaTex expression showing \begin{align*}90 &= 2 times 3 to the power of 2 times 5\\\\[-0.5em]630 &= 2 times 3 to the power of 2 times 5 times 7\end{align*}\\\\ \textsf{is }90\textsf{ a factor of}\\630?$

Is 90 a factor of 630

Yes

$A LaTex expression showing \begin{align*}294 &= 2 times 3 times 7 to the power of 2 \\\\[-0.5em]5390 &= 2 times 5 times 7 to the power of 2 times 11\end{align*}\\\\ \textsf{is }294\textsf{ a factor of}\\5390?$

Is 294 a factor of 5390

Yes

$A LaTex expression showing \begin{align*}126 &= 2 times 3 to the power of 2 times 7\\\\[-0.5em]630 &= 2 times 3 to the power of 2 times 5 times 7\end{align*}\\\\ \textsf{is }126\textsf{ a factor of}\\630?$

Is 126 a factor of 630

Yes

Prime Factorizatio

Practice:

Is Number a Factor - From Value as Factors

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