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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Is c a multiple of 273

c=32⋅5⋅7273=3⋅7⋅13is c a multiple of 273?\begin{align*}c &= 3^2 \cdot 5 \cdot 7\\[-0.5em]273 &= 3 \cdot 7 \cdot 13\end{align*}\\\\ \textsf{is }c\textsf{ a multiple of }273?

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 2)'. Part of a broader unit on 'Factoring and Lowest Common Multiple - Advanced' Learn online: app.mobius.academy/math/units/factoring_and_lowest_common_multiple_advanced/
1
A LaTex expression showing \begin{align*}c &= 3 to the power of 2 times 5 times 7\\[-0.5em]273 &= 3 times 7 times 13\end{align*}\\\\ \textsf{is }c\textsf{ a multiple of }273?
Is c a multiple of 273
a
Yes
b
No
2
A LaTex expression showing \begin{align*}c &= 2 times 3 times 5 times 7\\[-0.5em]105 &= 3 times 5 times 7\end{align*}\\\\ \textsf{is }c\textsf{ a multiple of }105?
Is c a multiple of 105
a
Yes
b
No
3
A LaTex expression showing \begin{align*}d &= 3 times 5 times 7 to the power of 2 \\[-0.5em]165 &= 3 times 5 times 11\end{align*}\\\\ \textsf{is }d\textsf{ a multiple of }165?
Is d a multiple of 165
a
Yes
b
No
4
A LaTex expression showing \begin{align*}b &= 3 times 5 times 7 to the power of 2 \\[-0.5em]105 &= 3 times 5 times 7\end{align*}\\\\ \textsf{is }b\textsf{ a multiple of }105?
Is b a multiple of 105
a
Yes
b
No
5
A LaTex expression showing \begin{align*}n &= 5 times 7 to the power of 3 \\[-0.5em]385 &= 5 times 7 times 11\end{align*}\\\\ \textsf{is }n\textsf{ a multiple of }385?
Is n a multiple of 385
a
Yes
b
No
6
A LaTex expression showing \begin{align*}n &= 2 times 3 times 5 to the power of 2 \\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }n\textsf{ a multiple of }30?
Is n a multiple of 30
a
Yes
b
No
7
A LaTex expression showing \begin{align*}z &= 3 times 5 times 7 to the power of 2 \\[-0.5em]70 &= 2 times 5 times 7\end{align*}\\\\ \textsf{is }z\textsf{ a multiple of }70?
Is z a multiple of 70
a
Yes
b
No