Prime Factorizatio

Is Number a Factor of Both - From Values as Factors (Level 1)

This math topic focuses on practicing prime factorization for determining whether a given number is a common factor of two other numbers. Each problem presents the prime factors of three numbers and asks if one of these is a factor of the other two. This is aimed at developing skills in factoring numbers and understanding the greatest common factor, which are fundamental concepts in arithmetic and number theory. The problems require students to analyze the prime factorization for common factors and deduce divisibility, aiding in the comprehension of factor relationships and multiplication.

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Is Number a Factor of Both - From Values as Factors

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Is 10 a factor of both 30 and 70?

10=2530=23570=257is 10 a factor of30 and 70?\begin{align*}10 &= 2 \cdot 5\\\\[-0.5em]30 &= 2 \cdot 3 \cdot 5\\[-0.5em]70 &= 2 \cdot 5 \cdot 7\end{align*}\\\\ \textsf{is }10\textsf{ a factor of}\\30\textsf{ and }70?

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