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

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

This math topic focuses on practicing prime factorization and determining if one number is a multiple of another by analyzing their prime factors. The questions provide pairs of numbers written in factorized form, and students are asked to determine whether the first number is a multiple of the second. This involves analyzing the exponents of the constituent prime factors. Each question provides a direct "Yes" or "No" choice, guiding the student to apply their understanding of prime factorization and the properties of multiples. This topic is part of a broader unit on factoring and finding the lowest common multiple.

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

$A LaTex expression showing \begin{align*}n &= 3 times 5 to the power of 2 \\\\[-0.5em]35 &= 5 times 7\end{align*}\\\\ \textsf{is }n\textsf{ a multiple of }35?$

Is n a multiple of 35

Yes

$A LaTex expression showing \begin{align*}m &= 2 times 3 times 7\\\\[-0.5em]21 &= 3 times 7\end{align*}\\\\ \textsf{is }m\textsf{ a multiple of }21?$

Is m a multiple of 21

Yes

$A LaTex expression showing \begin{align*}d &= 2 times 3 times 7\\\\[-0.5em]21 &= 3 times 7\end{align*}\\\\ \textsf{is }d\textsf{ a multiple of }21?$

Is d a multiple of 21

Yes

$A LaTex expression showing \begin{align*}z &= 2 times 7 to the power of 2 \\\\[-0.5em]49 &= 7 to the power of 2 \end{align*}\\\\ \textsf{is }z\textsf{ a multiple of }49?$

Is z a multiple of 49

Yes

$A LaTex expression showing \begin{align*}y &= 3 times 5 times 7\\\\[-0.5em]35 &= 5 times 7\end{align*}\\\\ \textsf{is }y\textsf{ a multiple of }35?$

Is y a multiple of 35

Yes

$A LaTex expression showing \begin{align*}b &= 3 times 5 times 7\\\\[-0.5em]14 &= 2 times 7\end{align*}\\\\ \textsf{is }b\textsf{ a multiple of }14?$

Is b a multiple of 14

Yes

$A LaTex expression showing \begin{align*}c &= 3 times 5 times 7\\\\[-0.5em]51 &= 3 times 17\end{align*}\\\\ \textsf{is }c\textsf{ a multiple of }51?$

Is c a multiple of 51

Yes

$A LaTex expression showing \begin{align*}d &= 5 times 7 to the power of 2 \\\\[-0.5em]21 &= 3 times 7\end{align*}\\\\ \textsf{is }d\textsf{ a multiple of }21?$

Is d a multiple of 21

Yes