Prime Factorization - Is Number a Factor of Both - From Variables as Factors (Level 3)

Prime Factorization - Is Number a Factor of Both - From Variables as Factors

$A LaTex expression showing \begin{align*}r &= 2 times 3 times 7 to the power of 2 \\\\[-0.5em]1470 &= 2 times 3 times 5 times 7 to the power of 2 \\[-0.5em]3234 &= 2 times 3 times 7 to the power of 2 times 11\end{align*}\\\\ \textsf{is }r\textsf{ a factor of}\\1470\textsf{ and }3234?$

Is r a factor of both 1470 and 3234?

Yes

$A LaTex expression showing \begin{align*}x &= 2 to the power of 2 times 3 times 7\\\\[-0.5em]420 &= 2 to the power of 2 times 3 times 5 times 7\\[-0.5em]924 &= 2 to the power of 2 times 3 times 7 times 11\end{align*}\\\\ \textsf{is }x\textsf{ a factor of}\\420\textsf{ and }924?$

Is x a factor of both 420 and 924?

Yes

$A LaTex expression showing \begin{align*}y &= 7 to the power of 4 \\\\[-0.5em]4802 &= 2 times 7 to the power of 4 \\[-0.5em]7203 &= 3 times 7 to the power of 4 \end{align*}\\\\ \textsf{is }y\textsf{ a factor of}\\4802\textsf{ and }7203?$

Is y a factor of both 4802 and 7203?

Yes

$A LaTex expression showing \begin{align*}r &= 2 to the power of 2 times 5 to the power of 2 \\\\[-0.5em]420 &= 2 to the power of 2 times 3 times 5 times 7\\[-0.5em]1650 &= 2 times 3 times 5 to the power of 2 times 11\end{align*}\\\\ \textsf{is }r\textsf{ a factor of}\\420\textsf{ and }1650?$

Is r a factor of both 420 and 1650?

Yes

$A LaTex expression showing \begin{align*}b &= 2 to the power of 2 times 7 to the power of 2 \\\\[-0.5em]588 &= 2 to the power of 2 times 3 times 7 to the power of 2 \\[-0.5em]980 &= 2 to the power of 2 times 5 times 7 to the power of 2 \end{align*}\\\\ \textsf{is }b\textsf{ a factor of}\\588\textsf{ and }980?$

Is b a factor of both 588 and 980?

Yes

$A LaTex expression showing \begin{align*}x &= 2 times 3 times 5 times 7\\\\[-0.5em]2310 &= 2 times 3 times 5 times 7 times 11\\[-0.5em]2730 &= 2 times 3 times 5 times 7 times 13\end{align*}\\\\ \textsf{is }x\textsf{ a factor of}\\2310\textsf{ and }2730?$

Is x a factor of both 2310 and 2730?

Yes

$A LaTex expression showing \begin{align*}y &= 3 times 5 times 7 to the power of 2 \\\\[-0.5em]5390 &= 2 times 5 times 7 to the power of 2 times 11\\[-0.5em]3822 &= 2 times 3 times 7 to the power of 2 times 13\end{align*}\\\\ \textsf{is }y\textsf{ a factor of}\\5390\textsf{ and }3822?$

Is y a factor of both 5390 and 3822?

Yes

$A LaTex expression showing \begin{align*}p &= 2 to the power of 2 times 3 times 5\\\\[-0.5em]420 &= 2 to the power of 2 times 3 times 5 times 7\\[-0.5em]660 &= 2 to the power of 2 times 3 times 5 times 11\end{align*}\\\\ \textsf{is }p\textsf{ a factor of}\\420\textsf{ and }660?$

Is p a factor of both 420 and 660?

Yes

Prime Factorization - Is Number a Factor of Both - From Variables as Factors Worksheet