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Last updated on May 26th, 2025

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Divisibility Rule of 2

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The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 2.

Divisibility Rule of 2 for US Students
Professor Greenline from BrightChamps

What is the Divisibility Rule of 2?

The divisibility rule for 2 is a method by which we can find out if a number is divisible by 2 or not without using the division method. Check whether 246 is divisible by 2 with the divisibility rule.

 

Step 1: Check if the last digit of the number is even. In 246, the last digit is 6, which is even.


Step 2: Since 6 is even, 246 is divisible by 2.

divisibility rule of 2
 

Professor Greenline from BrightChamps

Tips and Tricks for the Divisibility Rule of 2

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 2.

Know the even numbers:


Memorize the even numbers (0, 2, 4, 6, 8) to quickly check divisibility. If the last digit is one of these numbers, then the number is divisible by 2.

Use the rule for all numbers:


The divisibility rule for 2 applies to any whole number, positive or negative, as long as the last digit is even.

Repeat the process for large numbers:


For very large numbers, only the last digit needs to be checked. If it is even, the entire number is divisible by 2.

Verify with division:


Students can use the division method to verify and cross-check their results. This will help them confirm their understanding.

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Common Mistakes and How to Avoid Them in the Divisibility Rule of 2

The divisibility rule of 2 helps us quickly check if a given number is divisible by 2, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
 

Mistake 1

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Not checking the last digit.

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Always check the last digit to see if it is even.

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Divisibility Rule of 2 Examples

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Max, the Girl Character from BrightChamps

Problem 1

Is the number of apples in a basket, which is 46, divisible by 2?

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Yes, 46 is divisible by 2.

Explanation

To determine if 46 is divisible by 2, check the last digit of the number. Since the last digit is 6, which is an even number, 46 is divisible by 2.

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Max, the Girl Character from BrightChamps

Problem 2

A team of 128 students needs to be split into pairs for a dance competition. Can they be divided evenly?

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Yes, 128 is divisible by 2.
 

Explanation

To check if 128 can be divided evenly by 2, look at the last digit. The last digit of 128 is 8, which is even. Therefore, 128 is divisible by 2.
 

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Max, the Girl Character from BrightChamps

Problem 3

There are 57 chairs arranged in a hall. Can they be grouped into pairs without any left over?

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No, 57 is not divisible by 2.
 

Explanation

To check if 57 is divisible by 2, observe the last digit of the number. The last digit is 7, which is odd. Hence, 57 cannot be divided evenly by 2.

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Max, the Girl Character from BrightChamps

Problem 4

In a deck of 52 playing cards, can the cards be divided into two equal piles?

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Yes, 52 is divisible by 2.

Explanation

To determine if 52 can be divided into two equal piles, look at the last digit. The last digit is 2, which is an even number, so 52 is divisible by 2.

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Max, the Girl Character from BrightChamps

Problem 5

A baker made 99 cupcakes. Can they be arranged in pairs without any remaining?

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No, 99 is not divisible by 2.
 

Explanation

To check if 99 is divisible by 2, look at the last digit of the number. The last digit is 9, which is odd, so 99 cannot be divided evenly by 2.
 

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FAQs on the Divisibility Rule of 2

1.What is the divisibility rule for 2?

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2.How many numbers are there between 1 and 100 that are divisible by 2?

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3.Is 35 divisible by 2?

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4.What if I get a number with a last digit of 0?

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5.Does the divisibility rule of 2 apply to all integers?

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6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 2?

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7.What are some fun ways kids in United States can practice Divisibility Rule of 2 with numbers?

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8.What role do numbers and Divisibility Rule of 2 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Divisibility Rule of 2 skills?

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Important Glossaries for the Divisibility Rule of 2

  • Divisibility Rule: A set of rules used to determine if a number is divisible by another number without performing division.

 

  • Even Numbers: Numbers that end in 0, 2, 4, 6, or 8.

 

  • Integers: Numbers that include all whole numbers, their negatives, and zero.

 

  • Whole Numbers: Non-negative numbers without fractions or decimals, including zero.

 

  • Division: The process of determining how many times one number is contained within another.
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About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they’re keys unlocking endless possibilities! Our goal is to help children across the United States build strong math skills, focusing today on the Divisibility Rule of 2 and especially on understanding the Divisibility Rule—delivered in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score during Little League games, or managing their allowance for the newest gadgets, knowing numbers boosts their confidence for real-life situations. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in diverse ways, we customize our approach to match each learner’s style. From the lively streets of New York City to the sunny beaches of California, BrightChamps makes math relatable and exciting across America. Let’s make the Divisibility Rule an enjoyable part of every child’s math adventure!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Fun Fact

: She loves to read number jokes and games.

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