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

This math topic focuses on prime factorization and determining if one number is a multiple of another. It involves breaking down numbers into their prime factors and then comparing these factors to answer if the first number is a multiple of the second. The problems require understanding of basic multiplication, prime factors, and the ability to analyze the factor structure of different integers. Such skills are crucial for developing algebraic insight and proficiency in handling operations involving factors and multiples. The topic is designed for practice in the broader unit of 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 Value as Factors

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Is 70 a multiple of 55

70=2⋅5⋅755=5⋅11is 70 a multiple of 55?\begin{align*}70 &= 2 \cdot 5 \cdot 7\\[-0.5em]55 &= 5 \cdot 11\end{align*}\\\\ \textsf{is }70\textsf{ a multiple of }55?

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

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Math worksheet on 'Prime Factorization - Is Number a Multiple - From Value as Factors (Level 1)'. Part of a broader unit on 'Factoring and Venn Factor Diagrams - Practice' Learn online: app.mobius.academy/math/units/factoring_and_venn_diagrams_practice/
1
A LaTex expression showing \begin{align*}30 &= 2 times 3 times 5\\[-0.5em]22 &= 2 times 11\end{align*}\\\\ \textsf{is }30\textsf{ a multiple of }22?
Is 30 a multiple of 22
a
Yes
b
No
2
A LaTex expression showing \begin{align*}75 &= 3 times 5 to the power of 2 \\[-0.5em]6 &= 2 times 3\end{align*}\\\\ \textsf{is }75\textsf{ a multiple of }6?
Is 75 a multiple of 6
a
Yes
b
No
3
A LaTex expression showing \begin{align*}12 &= 2 to the power of 2 times 3\\[-0.5em]6 &= 2 times 3\end{align*}\\\\ \textsf{is }12\textsf{ a multiple of }6?
Is 12 a multiple of 6
a
Yes
b
No
4
A LaTex expression showing \begin{align*}42 &= 2 times 3 times 7\\[-0.5em]21 &= 3 times 7\end{align*}\\\\ \textsf{is }42\textsf{ a multiple of }21?
Is 42 a multiple of 21
a
Yes
b
No
5
A LaTex expression showing \begin{align*}70 &= 2 times 5 times 7\\[-0.5em]26 &= 2 times 13\end{align*}\\\\ \textsf{is }70\textsf{ a multiple of }26?
Is 70 a multiple of 26
a
Yes
b
No
6
A LaTex expression showing \begin{align*}30 &= 2 times 3 times 5\\[-0.5em]21 &= 3 times 7\end{align*}\\\\ \textsf{is }30\textsf{ a multiple of }21?
Is 30 a multiple of 21
a
Yes
b
No
7
A LaTex expression showing \begin{align*}245 &= 5 times 7 to the power of 2 \\[-0.5em]49 &= 7 to the power of 2 \end{align*}\\\\ \textsf{is }245\textsf{ a multiple of }49?
Is 245 a multiple of 49
a
Yes
b
No