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Last updated on May 26th, 2025

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Divisibility Rule of 25

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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 25.

Divisibility Rule of 25 for Indian Students
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What is the Divisibility Rule of 25?

The divisibility rule for 25 is a method by which we can find out if a number is divisible by 25 or not without using the division method. Check whether 425 is divisible by 25 with the divisibility rule.

 

Step 1: Check the last two digits of the number. If the last two digits form a number that is divisible by 25, then the entire number is divisible by 25. In 425, the last two digits are 25.  

 

Step 2: Since 25 is divisible by 25, the entire number 425 is divisible by 25.

 

divisibility rule of 25

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Tips and Tricks for Divisibility Rule of 25

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 25. 

 

  • Know the multiples of 25: Memorize the multiples of 25 (25, 50, 75, 100, 125…etc.) to quickly check divisibility. If the last two digits of a number form a multiple of 25, then the number is divisible by 25.

 

  • Consider the number's end: If a number ends in 00, 25, 50, or 75, it is divisible by 25.

 

  • Repeat the process for large numbers: Students can apply this rule to any large number by only considering the last two digits. For example, check if 3425 is divisible by 25. The last two digits are 25, which is divisible by 25, so 3425 is divisible by 25.

 

  • Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
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Common Mistakes and How to Avoid Them in Divisibility Rule of 25

The divisibility rule of 25 helps us to quickly check if a given number is divisible by 25, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.

Mistake 1

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Not checking the last two digits.

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Students should focus on the last two digits of the number to determine divisibility by 25.

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Divisibility Rule of 25 Examples

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Problem 1

Is 4500 divisible by 25?

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Yes, 4500 is divisible by 25. 

Explanation

According to the divisibility rule of 25, a number is divisible by 25 if its last two digits are either 00, 25, 50, or 75. In this case, the last two digits of 4500 are 00, which means that 4500 is divisible by 25.

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Problem 2

Check the divisibility rule of 25 for 3725.

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Yes, 3725 is divisible by 25. 

Explanation

To determine if 3725 is divisible by 25, we look at the last two digits. The last two digits are 25, which is one of the divisors of 25. Therefore, 3725 is divisible by 25.

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Problem 3

Is 1987 divisible by 25?

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No, 1987 is not divisible by 25.

Explanation

To check divisibility by 25, we examine the last two digits of the number. The last two digits of 1987 are 87, which is not 00, 25, 50, or 75. Therefore, 1987 is not divisible by 25.

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Problem 4

Can 6450 be divisible by 25 following the divisibility rule?

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Yes, 6450 is divisible by 25.

Explanation

According to the rule, a number is divisible by 25 if the last two digits are 00, 25, 50, or 75. The last two digits of 6450 are 50, confirming that 6450 is divisible by 25.

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Problem 5

Check the divisibility rule of 25 for 9325.

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Yes, 9325 is divisible by 25.

Explanation

By the divisibility rule of 25, we only need to look at the last two digits of the number. The last two digits of 9325 are 25, which means it is divisible by 25.

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FAQs on Divisibility Rule of 25

1.What is the divisibility rule for 25?

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2.How many numbers are there between 1 and 100 that are divisible by 25?

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3.Is 150 divisible by 25?

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4.What if the last two digits are 00?

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5.Does the divisibility rule of 25 apply to all integers?

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6.How can children in India use numbers in everyday life to understand Divisibility Rule of 25?

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7.What are some fun ways kids in India can practice Divisibility Rule of 25 with numbers?

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8.What role do numbers and Divisibility Rule of 25 play in helping children in India develop problem-solving skills?

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9.How can families in India create number-rich environments to improve Divisibility Rule of 25 skills?

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Important Glossaries for Divisibility Rule of 25

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

 

  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 25 are 25, 50, 75, 100, etc.

 

  • Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.

 

  • Digits: Digits are individual numbers that make up a larger number. For example, in 425, 4, 2, and 5 are digits.

 

  • Verification: Verification is the process of confirming that a mathematical result is correct, often using another method like division.
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About BrightChamps in India

At BrightChamps, we see numbers as more than just figures—they are a gateway to endless possibilities! Our mission is to support children all over India in building strong math skills, with today’s focus on the Divisibility Rule of 25 and special attention to understanding the Divisibility Rule—in a way that’s engaging, enjoyable, and easy to follow. Whether your child is calculating the speed of a train, keeping score during a Cricket match, or managing their pocket money to buy the latest gadgets, knowing numbers gives them confidence for daily life. Our interactive lessons keep learning simple and fun. As children in India have varied learning styles, we personalize our teaching to suit each child. From the bustling markets of Mumbai to the vibrant streets of Delhi, BrightChamps makes math relatable and exciting throughout India. Let’s make the Divisibility Rule a joyful part of every child’s math experience!
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Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

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Fun Fact

: She has songs for each table which helps her to remember the tables

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