Prime Factorization - Is Number a Multiple - From Variable as Factors (Level 2)

Is Number a Multiple - From Variable as Factors (Level 2)

This math topic focuses on prime factorization and understanding multiples from expressions involving variables represented as factors. It is part of a broader unit on factoring and finding the least common multiple. The problems presented involve analyzing algebraic expressions to determine if one is a multiple of another. Each question provides expressions with prime factors for two numbers and asks whether one number is a multiple of the other, with options to answer 'Yes' or 'No'. This helps in reinforcing the understanding of factorization and its practical application in evaluating multiples.

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

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

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

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

Is m a multiple of 30

Yes

$A LaTex expression showing \begin{align*}x &= 2 times 3 to the power of 2 times 7\\\\[-0.5em]63 &= 3 to the power of 2 times 7\end{align*}\\\\ \textsf{is }x\textsf{ a multiple of }63?$

Is x a multiple of 63

Yes

$A LaTex expression showing \begin{align*}p &= 2 to the power of 2 times 3 to the power of 2 \\\\[-0.5em]18 &= 2 times 3 to the power of 2 \end{align*}\\\\ \textsf{is }p\textsf{ a multiple of }18?$

Is p a multiple of 18

Yes

$A LaTex expression showing \begin{align*}c &= 2 to the power of 2 times 5 to the power of 2 \\\\[-0.5em]20 &= 2 to the power of 2 times 5\end{align*}\\\\ \textsf{is }c\textsf{ a multiple of }20?$

Is c a multiple of 20

Yes

$A LaTex expression showing \begin{align*}b &= 2 times 5 times 7 to the power of 2 \\\\[-0.5em]182 &= 2 times 7 times 13\end{align*}\\\\ \textsf{is }b\textsf{ a multiple of }182?$

Is b a multiple of 182

Yes

$A LaTex expression showing \begin{align*}b &= 2 times 3 times 5 to the power of 2 \\\\[-0.5em]75 &= 3 times 5 to the power of 2 \end{align*}\\\\ \textsf{is }b\textsf{ a multiple of }75?$

Is b a multiple of 75

Yes

$A LaTex expression showing \begin{align*}c &= 2 to the power of 2 times 3 times 7\\\\[-0.5em]12 &= 2 to the power of 2 times 3\end{align*}\\\\ \textsf{is }c\textsf{ a multiple of }12?$

Is c a multiple of 12

Yes

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

Is n a multiple of 30

Yes