Prime Factorizatio

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

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Is p a multiple of both 21 and 15?

p=32521=3715=35is p a multiple of 21 and 15?\begin{align*}p &= 3^2 \cdot 5\\\\[-0.5em]21 &= 3 \cdot 7\\[-0.5em]15 &= 3 \cdot 5\end{align*}\\\\ \textsf{is }p\textsf{ a multiple of }\\21\textsf{ and }15?

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