HomePricing

Prime Factorization - Is Number 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. It includes problems where students must compare the prime factorization of two numbers to see if the factors of the first number completely appear in the second. The problems typically format as "Is [first number] a factor of [second number]?" with a structured breakdown of each number’s prime factors. The topic is a part of broader units on factoring and finding the greatest common factor, enhancing students' understanding of number relationships and divisibility rules.

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

Is Number a Factor - From Value as Factors

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Is 75 a factor of 150

75=352150=2352is 75 a factor of150?\begin{align*}75 &= 3 \cdot 5^2\\[-0.5em]150 &= 2 \cdot 3 \cdot 5^2\end{align*}\\\\ \textsf{is }75\textsf{ a factor of}\\150?