Printable Divisibility Rules Worksheet | Grade 4 Math

This worksheet provides targeted practice for Grade 4 students on the essential skill of determining divisibility. Featuring a clear reference chart and four distinct problems, the resource is designed to help learners efficiently check if numbers are divisible by single digits, reinforcing their understanding of factors, multiples, and number properties.

At a Glance

• Grade: 4 · Subject: Math
• Standard: CCSS.MATH.CONTENT.4.OA.B.4 — Find factor pairs and determine if a number is a multiple of another.
• Skill Focus: Divisibility Rules
• Format: 2 pages · 4 problems · Answer key included · PDF
• Best For: Independent practice, skill reinforcement, or homework
• Time: 10–15 minutes

This two-page resource contains one student worksheet and a full answer key. The worksheet begins with a comprehensive "Divisibility Rules Chart" that serves as a visual aid for rules covering numbers 2 through 10. Below the chart, students will find four problems requiring them to apply these rules to multi-digit numbers, writing out their solutions.

Skill Progression

This worksheet follows a gradual-release model to build student confidence. The structure supports a smooth transition from guided learning to independent application.

• Guided Practice: The detailed chart at the top serves as a built-in scaffold, allowing students to reference the exact rule needed for each problem.
• Supported Practice: The first problems ask students to test for divisibility by 8 and 3, which involve straightforward applications of the rules.
• Independent Practice: The final problems involve more complex, multi-step rules (like for 7 and 6), encouraging students to synthesize information independently.

This "I Do, We Do, You Do" approach makes it an effective tool for solidifying new concepts.

Standards Alignment

This worksheet aligns with CCSS.MATH.CONTENT.4.OA.B.4, which requires students to determine if a whole number is a multiple of another. Mastery of divisibility tests is fundamental to this standard. These skills provide a critical foundation for later work with factors and fractions. The standard code can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

This resource works well as independent practice after a lesson on divisibility rules or as a focused homework assignment. While students work, you can formatively assess which rules they have internalized versus which still require support by observing their use of the reference chart. Most students will complete the worksheet in 10-15 minutes.

Who It's For

Designed for fourth-grade students, this worksheet is also suitable for fifth graders needing review or for intervention groups requiring extra support. The included chart provides necessary scaffolding. It pairs well with a classroom anchor chart that shows worked examples for each divisibility rule.

Developing number sense through skills like divisibility is critical for future mathematical success. This worksheet targets CCSS.MATH.CONTENT.4.OA.B.4, where students learn to determine if a number is a multiple of another. Quickly applying divisibility rules is a foundational component of this standard, streamlining factor-finding and identification of prime numbers. Research from Fisher & Frey (2014) emphasizes the importance of guided and independent practice in moving students toward fluency. This resource facilitates that process by providing a reference chart (guided support) followed by problems for application. Mastering these rules equips students for complex topics like simplifying fractions, underscoring the value of this targeted, foundational skill practice.