Prime Factorizatio

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

This math topic focuses on practicing prime factorization and determining if one number is a multiple of another by analyzing their prime factors. The questions provide pairs of numbers written in factorized form, and students are asked to determine whether the first number is a multiple of the second. This involves analyzing the exponents of the constituent prime factors. Each question provides a direct "Yes" or "No" choice, guiding the student to apply their understanding of prime factorization and the properties of multiples. This topic is part of a broader unit on 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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Is Number a Multiple - From Variable as Factors

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Is c a multiple of 51

\begin{align*}c &= 3 \cdot 5 \cdot 7\\\\[-0.5em]51 &= 3 \cdot 17\end{align*}\\\\ \textsf{is }c\textsf{ a multiple of }51?

Earned ?

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

Math worksheet on 'Prime Factorization - Is Number a Multiple - From Variable as Factors (Level 1)'. Part of a broader unit on 'Factoring and Lowest Common Multiple - Practice' Learn online: app.mobius.academy/math/units/factoring_and_lowest_common_multiple_practice/

$A LaTex expression showing \begin{align*}n &= 3 times 5 to the power of 2 \\\\[-0.5em]35 &= 5 times 7\end{align*}\\\\ \textsf{is }n\textsf{ a multiple of }35?$

Is n a multiple of 35

Yes

$A LaTex expression showing \begin{align*}n &= 3 to the power of 2 times 5\\\\[-0.5em]10 &= 2 times 5\end{align*}\\\\ \textsf{is }n\textsf{ a multiple of }10?$

Is n a multiple of 10

Yes

$A LaTex expression showing \begin{align*}d &= 5 times 7 to the power of 2 \\\\[-0.5em]21 &= 3 times 7\end{align*}\\\\ \textsf{is }d\textsf{ a multiple of }21?$

Is d a multiple of 21

Yes

$A LaTex expression showing \begin{align*}r &= 5 to the power of 3 \\\\[-0.5em]55 &= 5 times 11\end{align*}\\\\ \textsf{is }r\textsf{ a multiple of }55?$

Is r a multiple of 55

Yes

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

Is d a multiple of 14

Yes

$A LaTex expression showing \begin{align*}x &= 5 to the power of 2 times 7\\\\[-0.5em]10 &= 2 times 5\end{align*}\\\\ \textsf{is }x\textsf{ a multiple of }10?$

Is x a multiple of 10

Yes

$A LaTex expression showing \begin{align*}y &= 2 times 3 times 5\\\\[-0.5em]10 &= 2 times 5\end{align*}\\\\ \textsf{is }y\textsf{ a multiple of }10?$

Is y a multiple of 10

Yes

Prime Factorizatio

Practice:

Is Number a Multiple - From Variable as Factors

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