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

Is Number a Multiple - From Value as Factors (Level 1)

This math topic focuses on prime factorization and determining if one number is a multiple of another. It involves breaking down numbers into their prime factors and then comparing these factors to answer if the first number is a multiple of the second. The problems require understanding of basic multiplication, prime factors, and the ability to analyze the factor structure of different integers. Such skills are crucial for developing algebraic insight and proficiency in handling operations involving factors and multiples. The topic is designed for practice in the broader unit of factoring and finding the lowest common multiple.

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

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

Prime Factorization - Is Number a Multiple - From Value as Factors

$A LaTex expression showing \begin{align*}45 &= 3 to the power of 2 times 5\\\\[-0.5em]6 &= 2 times 3\end{align*}\\\\ \textsf{is }45\textsf{ a multiple of }6?$

Is 45 a multiple of 6

Yes

$A LaTex expression showing \begin{align*}70 &= 2 times 5 times 7\\\\[-0.5em]14 &= 2 times 7\end{align*}\\\\ \textsf{is }70\textsf{ a multiple of }14?$

Is 70 a multiple of 14

Yes

$A LaTex expression showing \begin{align*}42 &= 2 times 3 times 7\\\\[-0.5em]14 &= 2 times 7\end{align*}\\\\ \textsf{is }42\textsf{ a multiple of }14?$

Is 42 a multiple of 14

Yes

$A LaTex expression showing \begin{align*}105 &= 3 times 5 times 7\\\\[-0.5em]51 &= 3 times 17\end{align*}\\\\ \textsf{is }105\textsf{ a multiple of }51?$

Is 105 a multiple of 51

Yes

$A LaTex expression showing \begin{align*}63 &= 3 to the power of 2 times 7\\\\[-0.5em]14 &= 2 times 7\end{align*}\\\\ \textsf{is }63\textsf{ a multiple of }14?$

Is 63 a multiple of 14

Yes

$A LaTex expression showing \begin{align*}175 &= 5 to the power of 2 times 7\\\\[-0.5em]35 &= 5 times 7\end{align*}\\\\ \textsf{is }175\textsf{ a multiple of }35?$

Is 175 a multiple of 35

Yes

$A LaTex expression showing \begin{align*}42 &= 2 times 3 times 7\\\\[-0.5em]15 &= 3 times 5\end{align*}\\\\ \textsf{is }42\textsf{ a multiple of }15?$

Is 42 a multiple of 15

Yes

$A LaTex expression showing \begin{align*}98 &= 2 times 7 to the power of 2 \\\\[-0.5em]21 &= 3 times 7\end{align*}\\\\ \textsf{is }98\textsf{ a multiple of }21?$

Is 98 a multiple of 21

Yes