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Prime Factorization - Is Number a Factor - From Value as Factors (Level 1)

This math topic practices skills involving prime factorization and determining if one number is a factor of another using those factorizations. Problems include analyzing the prime factors of two different numbers and answering whether the first number is a factor of the second. For instance, given two numbers expressed as products of their prime factors, learners must decide if the first number divides the second without a remainder. This is an introductory level practice within a broader study on factoring and the greatest common factor.

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 15 a factor of 42

15=3542=237is 15 a factor of42?\begin{align*}15 &= 3 \cdot 5\\[-0.5em]42 &= 2 \cdot 3 \cdot 7\end{align*}\\\\ \textsf{is }15\textsf{ a factor of}\\42?