Is z a multiple of both 10 and 6? $$\begin{align*}z &= 2 \cdot 3 \cdot 5\\\\[-0.5em]10 &= 2 \cdot 5\\[-0.5em]6 &= 2 \cdot 3\end{align*}\\\\ \textsf{is }z\textsf{ a multiple of }\\10\textsf{ and }6?$$

Prime Factorization

Is Number a Multiple of Both - From Variables as Factors (Level 1)

This math topic covers skills in prime factorization, identifying multiples, and using variables as factors. The problems involve determining whether a given product expressed through a combination of primes and variables is a multiple of other specified products. Each question presents expressions and asks if one is a multiple of the others, with options for yes or no answers. The focus is on understanding factorization and the principles of multiples within the context of higher-level arithmetic operations, notably within a unit focused on factoring and finding the lowest common multiples.

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Is Number a Multiple of Both - From Variables as Factors

Is z a multiple of both 14 and 4?

\begin{align*}z &= 2^2 \cdot 7\\\\[-0.5em]14 &= 2 \cdot 7\\[-0.5em]4 &= 2^2\end{align*}\\\\ \textsf{is }z\textsf{ a multiple of }\\14\textsf{ and }4?

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