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Prime Factorization

Is Number a Factor - From Variable as Factors (Level 3)

This math topic focuses on prime factorization and determining whether one number is a factor of another. It involves comparing the prime factors of two numbers to ascertain if the first number's prime factors completely divide the second number without a remainder. Each question presents two numbers in prime factored form and asks if the first number is a factor of the second. This skill is pertinent for understanding advanced concepts in factoring and greatest common factors.

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

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

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Prime Factorization - Is Number a Factor - From Variable as Factors
1
A LaTex expression showing \begin{align*}z &= 2 times 3 to the power of 2 times 7\\\\[-0.5em]3465 &= 3 to the power of 2 times 5 times 7 times 11\end{align*}\\\\ \textsf{is }z\textsf{ a factor of}\\3465?
Is z a factor of 3465
a
Yes
b
No
2
A LaTex expression showing \begin{align*}n &= 2 to the power of 2 times 3 times 7\\\\[-0.5em]420 &= 2 to the power of 2 times 3 times 5 times 7\end{align*}\\\\ \textsf{is }n\textsf{ a factor of}\\420?
Is n a factor of 420
a
Yes
b
No
3
A LaTex expression showing \begin{align*}m &= 2 to the power of 3 times 7\\\\[-0.5em]168 &= 2 to the power of 3 times 3 times 7\end{align*}\\\\ \textsf{is }m\textsf{ a factor of}\\168?
Is m a factor of 168
a
Yes
b
No
4
A LaTex expression showing \begin{align*}c &= 2 times 5 times 7 to the power of 2 \\\\[-0.5em]1470 &= 2 times 3 times 5 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }c\textsf{ a factor of}\\1470?
Is c a factor of 1470
a
Yes
b
No
5
A LaTex expression showing \begin{align*}n &= 2 times 5 to the power of 2 times 7\\\\[-0.5em]5775 &= 3 times 5 to the power of 2 times 7 times 11\end{align*}\\\\ \textsf{is }n\textsf{ a factor of}\\5775?
Is n a factor of 5775
a
Yes
b
No
6
A LaTex expression showing \begin{align*}b &= 2 times 3 times 5 times 7\\\\[-0.5em]2310 &= 2 times 3 times 5 times 7 times 11\end{align*}\\\\ \textsf{is }b\textsf{ a factor of}\\2310?
Is b a factor of 2310
a
Yes
b
No
7
A LaTex expression showing \begin{align*}r &= 2 times 3 to the power of 2 times 5\\\\[-0.5em]3465 &= 3 to the power of 2 times 5 times 7 times 11\end{align*}\\\\ \textsf{is }r\textsf{ a factor of}\\3465?
Is r a factor of 3465
a
Yes
b
No
8
A LaTex expression showing \begin{align*}n &= 2 times 5 times 7 to the power of 2 \\\\[-0.5em]1470 &= 2 times 3 times 5 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }n\textsf{ a factor of}\\1470?
Is n a factor of 1470
a
Yes
b
No