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

This math topic practices skills involving prime factorization and determining if one number is a factor of another using those factorizations. Problems include analyzing the prime factors of two different numbers and answering whether the first number is a factor of the second. For instance, given two numbers expressed as products of their prime factors, learners must decide if the first number divides the second without a remainder. This is an introductory level practice within a broader study on factoring and the greatest common factor.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Is Number a Factor - From Value as Factors

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Is 15 a factor of 30

15=3⋅530=2⋅3⋅5is 15 a factor of30?\begin{align*}15 &= 3 \cdot 5\\[-0.5em]30 &= 2 \cdot 3 \cdot 5\end{align*}\\\\ \textsf{is }15\textsf{ a factor of}\\30?

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

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Math worksheet on 'Prime Factorization - Is Number a Factor - From Value as Factors (Level 1)'. 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*}15 &= 3 times 5\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }15\textsf{ a factor of}\\42?
Is 15 a factor of 42
a
Yes
b
No
2
A LaTex expression showing \begin{align*}35 &= 5 times 7\\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }35\textsf{ a factor of}\\42?
Is 35 a factor of 42
a
Yes
b
No
3
A LaTex expression showing \begin{align*}9 &= 3 to the power of 2 \\[-0.5em]18 &= 2 times 3 to the power of 2 \end{align*}\\\\ \textsf{is }9\textsf{ a factor of}\\18?
Is 9 a factor of 18
a
Yes
b
No
4
A LaTex expression showing \begin{align*}6 &= 2 times 3\\[-0.5em]70 &= 2 times 5 times 7\end{align*}\\\\ \textsf{is }6\textsf{ a factor of}\\70?
Is 6 a factor of 70
a
Yes
b
No
5
A LaTex expression showing \begin{align*}15 &= 3 times 5\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }15\textsf{ a factor of}\\30?
Is 15 a factor of 30
a
Yes
b
No
6
A LaTex expression showing \begin{align*}9 &= 3 to the power of 2 \\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }9\textsf{ a factor of}\\30?
Is 9 a factor of 30
a
Yes
b
No
7
A LaTex expression showing \begin{align*}6 &= 2 times 3\\[-0.5em]30 &= 2 times 3 times 5\end{align*}\\\\ \textsf{is }6\textsf{ a factor of}\\30?
Is 6 a factor of 30
a
Yes
b
No