Prime Factorization

Is Number a Multiple - From Value as Factors (Level 3)

This math topic focuses on advanced skills related to prime factorization, determining if one number is a multiple of another, and understanding value representations as factors. Specifically, it entails evaluating given numbers expressed in factorized forms, to ascertain if one is a multiple of another utilizing their prime factorization. The problems provide factorized expressions for two numbers and ask if the first is a multiple of the second, offering a deeper insight into factoring and lowest common multiples. The format includes multiple-choice answers to validate understanding.

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

more

Is Number a Multiple - From Value as Factors


Is 270 a multiple of 135

270=2⋅33⋅5135=33⋅5is 270 a multiple of 135?\begin{align*}270 &= 2 \cdot 3^3 \cdot 5\\\\[-0.5em]135 &= 3^3 \cdot 5\end{align*}\\\\ \textsf{is }270\textsf{ a multiple of }135?

?