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

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Is m a multiple of 14

m=22⋅714=2⋅7is m a multiple of 14?\begin{align*}m &= 2^2 \cdot 7\\[-0.5em]14 &= 2 \cdot 7\end{align*}\\\\ \textsf{is }m\textsf{ a multiple of }14?

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

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Math worksheet on 'Prime Factorization - Is Number a Multiple - From Variable as Factors (Level 1)'. Part of a broader unit on 'Factoring and Lowest Common Multiple - Intro' Learn online: app.mobius.academy/math/units/factoring_and_lowest_common_multiple_intro/
1
A LaTex expression showing \begin{align*}x &= 2 times 7 to the power of 2 \\[-0.5em]26 &= 2 times 13\end{align*}\\\\ \textsf{is }x\textsf{ a multiple of }26?
Is x a multiple of 26
a
Yes
b
No
2
A LaTex expression showing \begin{align*}m &= 2 times 5 times 7\\[-0.5em]26 &= 2 times 13\end{align*}\\\\ \textsf{is }m\textsf{ a multiple of }26?
Is m a multiple of 26
a
Yes
b
No
3
A LaTex expression showing \begin{align*}z &= 5 times 7 to the power of 2 \\[-0.5em]14 &= 2 times 7\end{align*}\\\\ \textsf{is }z\textsf{ a multiple of }14?
Is z a multiple of 14
a
Yes
b
No
4
A LaTex expression showing \begin{align*}b &= 2 times 5 to the power of 2 \\[-0.5em]10 &= 2 times 5\end{align*}\\\\ \textsf{is }b\textsf{ a multiple of }10?
Is b a multiple of 10
a
Yes
b
No
5
A LaTex expression showing \begin{align*}x &= 3 to the power of 2 times 7\\[-0.5em]21 &= 3 times 7\end{align*}\\\\ \textsf{is }x\textsf{ a multiple of }21?
Is x a multiple of 21
a
Yes
b
No
6
A LaTex expression showing \begin{align*}d &= 5 to the power of 2 times 7\\[-0.5em]65 &= 5 times 13\end{align*}\\\\ \textsf{is }d\textsf{ a multiple of }65?
Is d a multiple of 65
a
Yes
b
No
7
A LaTex expression showing \begin{align*}n &= 2 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
a
Yes
b
No