Prime Factorizatio

Is Number a Multiple of Both - From Values as Factors (Level 3)

This math topic focuses on advanced concepts of prime factorization and checking whether one number is a multiple of others, using their prime factorized forms. It involves determining if a primary number is a multiple of two other numbers by analyzing their factorized structures, as presented in the format of prime factors raised to appropriate exponents. Additionally, this topic falls under a broader unit on factoring and finding the lowest common multiple, targeting an advanced understanding of these concepts. Each problem presents a situation to decide if one number is a multiple of the others provided, with a choice of 'Yes' or 'No' as answers.

more

Is Number a Multiple of Both - From Values as Factors

Complete this topic with 80% correct, working as fast as you can! Results are immediate.

0:00.0


Is 420 a multiple of both 84 and 210?

420=2235784=2237210=2357is 420 a multiple of 84 and 210?\begin{align*}420 &= 2^2 \cdot 3 \cdot 5 \cdot 7\\\\[-0.5em]84 &= 2^2 \cdot 3 \cdot 7\\[-0.5em]210 &= 2 \cdot 3 \cdot 5 \cdot 7\end{align*}\\\\ \textsf{is }420\textsf{ a multiple of }\\84\textsf{ and }210?

?