Grade 6 Divisibility Rules — Printable No-Prep Worksheet

This two-page worksheet provides comprehensive practice with number divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10. Students will apply these rules to identify factors and multiples through a series of structured tasks, moving from basic checks to a multi-step challenge problem, strengthening their number sense.

At a Glance

• Grade: 4-7 (Core: 6) · Subject: Math
• Standard: CCSS.MATH.CONTENT.4.OA.B.4 — Determine if a whole number is a multiple of a given one-digit number.
• Skill Focus: Divisibility Rules
• Format: 2 pages · 43 problems · Answer key included · PDF
• Best For: Independent practice or station work
• Time: 20–30 minutes

What's Inside

This download includes a two-page PDF worksheet and a complete answer key. Page one has a reference table and three task sections: checking divisibility in a large table, a coloring task for multiples of three, and a circling task for multiples of four. The second page is a "Challenge" with a mystery number puzzle, true/false questions, and logic problems.

Zero-Prep Workflow

This resource is designed for immediate classroom use.

• Print (1 min): Print the two-page PDF for each student.
• Distribute (1 min): Hand out the worksheet for classwork or homework; instructions are self-explanatory.
• Review (5-10 min): Use the included answer key to quickly check work.

Total prep time is under 2 minutes, making it ideal for sub plans.

Standards Alignment

This worksheet supports skills for CCSS.MATH.CONTENT.4.OA.B.4, where students "determine whether a given whole number...is a multiple of a given one-digit number." It reinforces this concept and extends it to include rules for 6, 8, and 9, which are crucial for middle school number theory. The standard code can be copied directly into lesson plans or curriculum maps.

How to Use It

Use this worksheet as independent practice after a lesson on divisibility rules or as a formative assessment. To check for understanding, observe which rules students struggle with in the main table; this can inform the next day's warm-up. Expect completion time to be 20–30 minutes for both pages.

Who It's For

Primarily for students in Grades 5-6 learning or reviewing divisibility rules. The first page provides core practice, while the "Challenge" page extends the concepts for advanced learners. It pairs well with a divisibility rules anchor chart. For students needing support, have them complete only the sections for rules 2, 5, and 10 first.

Mastery of number properties, such as the divisibility rules addressed in this worksheet, is a critical foundation for procedural fluency in arithmetic and algebraic thinking. This resource provides targeted practice aligned with CCSS.MATH.CONTENT.4.OA.B.4, where students learn to identify factors and multiples. Research from the RAND AIRS (2024) report on foundational math skills highlights the importance of number sense, which includes the ability to flexibly compose and decompose numbers—a skill directly enhanced by understanding divisibility. By engaging with the 43 problems in this worksheet, students move beyond rote memorization of rules to apply them in varied contexts, from simple identification to logic puzzles. This approach supports the development of computational fluency that is essential for success in higher-level mathematics, reinforcing the connection between basic number theory and complex problem-solving.