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Prime Factorization - Is Integer a Factor - From Value as Factors (Level 2)

This math topic focuses on determining whether one number is a factor of another through prime factorization, which is presented as part of a larger unit on factoring and finding the greatest common factor. These problems present two numbers in each question, along with the prime factors of those numbers, and ask whether the first number is a factor of the second. For example, one problem might express numbers like "42 = x times r times z" and "330 = 2 times 3 times 5 times 11," followed by a prompt asking if 42 is a factor of 330. The choices given are "Yes" or "No." Such exercises help in understanding and applying the concepts of factors, multiplication, and division within the framework of basic number theory.

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Is Integer a Factor - From Value as Factors

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Is 45 a factor of 210

45=y2⋅x210=2⋅3⋅5⋅7is 45 a factor of210?\begin{align*}45 &= y^2 \cdot x\\[-0.5em]210 &= 2 \cdot 3 \cdot 5 \cdot 7\end{align*}\\\\ \textsf{is }45\textsf{ a factor of}\\210?

Prime Factorization - Is Integer a Factor - From Value as Factors Worksheet

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Math worksheet on 'Prime Factorization - Is Integer a Factor - From Value as Factors (Level 2)'. Part of a broader unit on 'Digits and Divisibility - Intro' Learn online: app.mobius.academy/math/units/digits_and_divisibility_intro/
1
A LaTex expression showing \begin{align*}63 &= p to the power of 2 times r\\[-0.5em]90 &= 2 times 3 to the power of 2 times 5\end{align*}\\\\ \textsf{is }63\textsf{ a factor of}\\90?
Is 63 a factor of 90
a
Yes
b
No
2
A LaTex expression showing \begin{align*}50 &= d times p to the power of 2 \\[-0.5em]210 &= 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }50\textsf{ a factor of}\\210?
Is 50 a factor of 210
a
Yes
b
No
3
A LaTex expression showing \begin{align*}42 &= b times p times z\\[-0.5em]770 &= 2 times 5 times 7 times 11\end{align*}\\\\ \textsf{is }42\textsf{ a factor of}\\770?
Is 42 a factor of 770
a
Yes
b
No
4
A LaTex expression showing \begin{align*}12 &= b to the power of 2 times c\\[-0.5em]210 &= 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }12\textsf{ a factor of}\\210?
Is 12 a factor of 210
a
Yes
b
No
5
A LaTex expression showing \begin{align*}70 &= z times m times r\\[-0.5em]210 &= 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }70\textsf{ a factor of}\\210?
Is 70 a factor of 210
a
Yes
b
No
6
A LaTex expression showing \begin{align*}105 &= d times r times x\\[-0.5em]330 &= 2 times 3 times 5 times 11\end{align*}\\\\ \textsf{is }105\textsf{ a factor of}\\330?
Is 105 a factor of 330
a
Yes
b
No
7
A LaTex expression showing \begin{align*}42 &= p times c times n\\[-0.5em]330 &= 2 times 3 times 5 times 11\end{align*}\\\\ \textsf{is }42\textsf{ a factor of}\\330?
Is 42 a factor of 330
a
Yes
b
No