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Prime Factorization - Is Integer a Factor - From Value as Factors (Level 2)

This math topic focuses on determining whether one number is a factor of another through prime factorization, which is presented as part of a larger unit on factoring and finding the greatest common factor. These problems present two numbers in each question, along with the prime factors of those numbers, and ask whether the first number is a factor of the second. For example, one problem might express numbers like "42 = x times r times z" and "330 = 2 times 3 times 5 times 11," followed by a prompt asking if 42 is a factor of 330. The choices given are "Yes" or "No." Such exercises help in understanding and applying the concepts of factors, multiplication, and division within the framework of basic number theory.

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Is Integer a Factor - From Value as Factors

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Is 50 a factor of 150

50=cx2150=2352is 50 a factor of150?\begin{align*}50 &= c \cdot x^2\\[-0.5em]150 &= 2 \cdot 3 \cdot 5^2\end{align*}\\\\ \textsf{is }50\textsf{ a factor of}\\150?