Test of Divisibility Rules

Introduction

This worksheet provides structured, interactive practice on divisibility rules for numbers from 2 to 19. Learners test their understanding through quick checks, logic-based puzzles, and instant feedback.

What Are Divisibility Rules

Divisibility rules are shortcuts that help determine whether a number can be divided evenly by another number without performing full division.

Mastering these rules improves number sense, mental arithmetic, and efficiency when working with large numbers.

Divisibility Rules Covered

This worksheet focuses on divisibility rules for the numbers 2 through 19.

These rules are commonly used in arithmetic, factorization, and higher-level mathematics.

Configurable Practice Options

Before generating the worksheet, learners can customize their practice session.

• Customizable Problem Sets:The divisors from 2 to 19 are grouped into four sets, allowing focused practice on selected rules.
• Flexible Difficulty Levels:Choose dividend sizes using 3-digit, 4-digit, 5-digit, or 6-digit numbers.

Yes / No Divisibility Questions

In this format, learners answer direct questions such as:

Is 8750 divisible by 4?

Responses are given in a simple Yes or No format, making the practice fast-paced and engaging.

Instant feedback helps reinforce correct reasoning and quickly correct misunderstandings.

Divisibility Puzzle Format

This worksheet also includes a puzzle-style problem format.

Learners are given a number with a missing digit and must determine:

• The smallest digit that makes the number divisible by 3
• The greatest digit that makes the number divisible by 3

Example: Given 437_5, the smallest digit is 2 and the greatest digit is 8 to make the number divisible by 3.

This format strengthens logical reasoning and deepens understanding of divisibility patterns.

Learn, Then Practice

Learners can use the Test of Divisibility Calculator to understand and review the rules.

Once the rules are clear, the worksheet provides immediate opportunities to apply that knowledge through hands-on practice.

Strengthen Multiplication Knowledge

For divisibility rules involving numbers such as 13, 16, 17, and 19, strong multiplication table knowledge is essential.

Learners are encouraged to practice with the Times Table Mastery with Multi-Digit Long Multiplication worksheet to build speed and confidence when applying these rules.

Skills Developed Through This Worksheet

• Quick identification of divisibility
• Improved number sense and mental arithmetic
• Logical reasoning through puzzle-based problems
• Confidence applying divisibility rules up to 19

Online, Interactive, and Self-Correcting

This worksheet runs entirely in the browser and requires no printing or downloading.

Learners enter answers directly and receive instant feedback, making practice efficient and self-guided.