Prime Factorization - Is Number a Multiple of Both - From Values as Factors (Level 2)

Prime Factorization - Is Number a Multiple of Both - From Values as Factors

$A LaTex expression showing \begin{align*}1225 &= 5 to the power of 2 times 7 to the power of 2 \\\\[-0.5em]385 &= 5 times 7 times 11\\[-0.5em]175 &= 5 to the power of 2 times 7\end{align*}\\\\ \textsf{is }1225\textsf{ a multiple of }\\385\textsf{ and }175?$

Is 1225 a multiple of both 385 and 175?

Yes

$A LaTex expression showing \begin{align*}735 &= 3 times 5 times 7 to the power of 2 \\\\[-0.5em]245 &= 5 times 7 to the power of 2 \\[-0.5em]105 &= 3 times 5 times 7\end{align*}\\\\ \textsf{is }735\textsf{ a multiple of }\\245\textsf{ and }105?$

Is 735 a multiple of both 245 and 105?

Yes

$A LaTex expression showing \begin{align*}1029 &= 3 times 7 to the power of 3 \\\\[-0.5em]147 &= 3 times 7 to the power of 2 \\[-0.5em]343 &= 7 to the power of 3 \end{align*}\\\\ \textsf{is }1029\textsf{ a multiple of }\\147\textsf{ and }343?$

Is 1029 a multiple of both 147 and 343?

Yes

$A LaTex expression showing \begin{align*}126 &= 2 times 3 to the power of 2 times 7\\\\[-0.5em]63 &= 3 to the power of 2 times 7\\[-0.5em]18 &= 2 times 3 to the power of 2 \end{align*}\\\\ \textsf{is }126\textsf{ a multiple of }\\63\textsf{ and }18?$

Is 126 a multiple of both 63 and 18?

Yes

$A LaTex expression showing \begin{align*}84 &= 2 to the power of 2 times 3 times 7\\\\[-0.5em]30 &= 2 times 3 times 5\\[-0.5em]28 &= 2 to the power of 2 times 7\end{align*}\\\\ \textsf{is }84\textsf{ a multiple of }\\30\textsf{ and }28?$

Is 84 a multiple of both 30 and 28?

Yes

$A LaTex expression showing \begin{align*}315 &= 3 to the power of 2 times 5 times 7\\\\[-0.5em]45 &= 3 to the power of 2 times 5\\[-0.5em]105 &= 3 times 5 times 7\end{align*}\\\\ \textsf{is }315\textsf{ a multiple of }\\45\textsf{ and }105?$

Is 315 a multiple of both 45 and 105?

Yes

$A LaTex expression showing \begin{align*}315 &= 3 to the power of 2 times 5 times 7\\\\[-0.5em]70 &= 2 times 5 times 7\\[-0.5em]105 &= 3 times 5 times 7\end{align*}\\\\ \textsf{is }315\textsf{ a multiple of }\\70\textsf{ and }105?$

Is 315 a multiple of both 70 and 105?

Yes

$A LaTex expression showing \begin{align*}126 &= 2 times 3 to the power of 2 times 7\\\\[-0.5em]18 &= 2 times 3 to the power of 2 \\[-0.5em]42 &= 2 times 3 times 7\end{align*}\\\\ \textsf{is }126\textsf{ a multiple of }\\18\textsf{ and }42?$

Is 126 a multiple of both 18 and 42?

Yes

Prime Factorization - Is Number a Multiple of Both - From Values as Factors Worksheet