Prime Factorization

Is Integer a Factor - From Value as Factors (Level 3)

This math topic focuses on advanced factoring and the determination of whether one integer is a factor of another using prime factorization. Involving skills like breaking numbers down to their prime factors and observing these factors' compatibility, students address questions that ascertain if a given number is a factor of another, based on their prime factor representations. This includes assessing compatibility and powers of prime constituents of the integers in question.

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

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Is Integer a Factor - From Value as Factors


Is 490 a factor of 1470

490=c⋅x⋅z21470=2⋅3⋅5⋅72is 490 a factor of1470?\begin{align*}490 &= c \cdot x \cdot z^2\\\\[-0.5em]1470 &= 2 \cdot 3 \cdot 5 \cdot 7^2\end{align*}\\\\ \textsf{is }490\textsf{ a factor of}\\1470?

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