Printable Factors and Multiples Worksheet | Grade 4 Math

Strengthen your students' number sense with this comprehensive worksheet focused on factors and multiples. Designed for fourth-grade learners, this printable resource provides extensive practice in identifying factors, listing multiples, and finding the greatest common factor (GCF) and least common multiple (LCM). It's a direct path to mastering foundational number theory concepts.

At a Glance

• Grade: 4 · Subject: Math
• Standard: CCSS.MATH.CONTENT.4.OA.B.4 — Gain familiarity with factors and multiples.
• Skill Focus: Factors, Multiples, GCF, and LCM
• Format: 5 pages · 52 problems · Answer key included · PDF
• Best For: Independent practice, homework, or skill review
• Time: 30–45 minutes

What's Inside

This 5-page PDF includes four pages of exercises and a one-page answer key. It features 52 problems covering factors, multiples, greatest common factor (GCF), least common multiple (LCM), and word problems, ensuring comprehensive practice of the core skills.

A Clear Path to Understanding

The worksheet follows a gradual release model to build student confidence:

• Guided practice: The first sections focus on listing factors and multiples, establishing a firm base with 18 problems.
• Supported practice: Students then tackle more complex tasks, like circling multiples and finding missing factors, applying their understanding across another 18 problems.
• Independent practice: The final pages challenge students to find the GCF and LCM for number pairs and solve four multi-step word problems.

This progression ensures students move from foundational knowledge to confident application.

Standards Alignment

This worksheet is directly aligned with the Common Core State Standard CCSS.MATH.CONTENT.4.OA.B.4, which requires students to "Find all factor pairs for a whole number in the range 1-100... Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number." This resource provides targeted practice to meet that objective. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

This worksheet is effective as independent practice after a lesson on factors and multiples. Assign the first two pages to solidify core concepts, using the GCF/LCM and word problem pages the next day. The entire packet takes about 30-45 minutes.

For formative assessment, circulate as students work on the GCF/LCM section. Note their methods (listing vs. prime factorization) to inform your next instructional steps.

Who It's For

This worksheet is designed primarily for 4th-grade students learning about factors and multiples. It also serves as an excellent review for 5th graders at the beginning of a unit on fractions or as an intervention tool for 6th-grade students who need to solidify their number theory foundations. Pair it with a classroom anchor chart displaying factor rainbows and multiplication tables for visual support.

Fluency with factors and multiples is critical for success with fractions and algebra. This worksheet provides practice aligned with CCSS.MATH.CONTENT.4.OA.B.4, helping students master factor pairs and multiples. Research highlights the importance of procedural fluency built on conceptual understanding. As noted by Fisher & Frey (2014), structured practice is key for moving knowledge into long-term memory. This resource's 52 problems offer the deliberate practice needed to internalize number theory concepts, moving beyond calculation to a flexible understanding of number relationships. The progression from basic listing to applying GCF/LCM in word problems helps build a robust mathematical foundation.