pdf GCF, LCM and Prime Factorization Assessment

This assessment evaluates student understanding of factors, multiples, prime numbers, composite numbers, prime factorization, greatest common factor (GCF), and least common multiple (LCM). Students demonstrate their ability to identify prime and composite numbers, write prime factorizations, determine common factors and multiples, and apply these concepts to a variety of real-world problem-solving situations.

The assessment includes multiple-choice questions, prime factor trees, Venn diagram applications, listing factors, and problems involving scheduling, measurement, grouping, and area. Students must recognize relationships between factors and multiples while using prime factorization as a strategy for finding both the GCF and LCM. Although prime factorization receives less emphasis in many modern curricula than it did previously, it remains a valuable skill for developing number sense and understanding the structure of whole numbers.

This resource works well as a unit assessment, benchmark, review activity, or intervention tool. The variety of question types provides teachers with insight into students' conceptual understanding of factors, multiples, divisibility, and foundational number theory concepts that support later work with fractions, ratios, and algebra.

Skills Assessed

• Identifying prime and composite numbers
• Writing prime factorizations
• Completing factor trees
• Finding the greatest common factor (GCF)
• Finding the least common multiple (LCM)
• Listing factors of whole numbers
• Applying divisibility and number sense
• Using Venn diagrams to represent common factors
• Solving real-world GCF and LCM word problems
• Applying prime factorization to solve problems
• Reasoning about factors and multiples

Details

• Assessment format
• 20 questions
• Answer key included
• Multiple-choice and constructed-response questions
• Includes real-world application problems
• Suitable for review, assessment, or intervention

ID# 0500