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Prime Factorization - Is Number a Factor - From Value as Factors (Level 3)

This math topic focuses on advanced factoring and determining if one number is a factor of another using prime factorization. It delves into comparing the prime factors of two numbers to establish whether one number can completely divide the other without leaving a remainder. Each problem presents two numbers with their prime factorizations and asks if the first number is a factor of the second. The implicit skills practiced include prime factorization, understanding exponents in prime factors, and fundamental divisibility rules within the context of advanced factoring and greatest common factors.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Is Number a Factor - From Value as Factors

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Is 375 a factor of 1050

375=3⋅531050=2⋅3⋅52⋅7is 375 a factor of1050?\begin{align*}375 &= 3 \cdot 5^3\\[-0.5em]1050 &= 2 \cdot 3 \cdot 5^2 \cdot 7\end{align*}\\\\ \textsf{is }375\textsf{ a factor of}\\1050?