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Last updated on February 15th, 2025

Divisibility Rule of 225

Q: What is the divisibility rule for 225?

The divisibility rule for 225 is to check if a number is divisible by both 25 and 9. If both conditions are met, the number is divisible by 225

Q: How many numbers are there between 1 and 1000 that are divisible by 225?

There are 4 numbers between 1 and 1000 that can be divided by 225. The numbers are 225, 450, 675, and 900.

Q: Is 675 divisible by 225?

Yes, because 675 is a multiple of 225 (225×3=675).

Q: What if the sum of digits is 9 in checking divisibility by 9?

If the sum of the digits is 9, it is considered as the number is divisible by 9.

Q: Does the divisibility rule of 225 apply to all integers?

Yes, the divisibility rule of 225 applies to all integers.

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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 225.

What is the Divisibility Rule of 225?

The divisibility rule for 225 is a method by which we can find out if a number is divisible by 225 or not without using the division method. Check whether 2025 is divisible by 225 using the divisibility rule.

Step 1: Check divisibility by 25. The last two digits of 2025 are 25, which is divisible by 25.

Step 2: Check divisibility by 9. Add the digits of the number: 2+0+2+5=9. Since 9 is divisible by 9, proceed to Step 3.

Step 3: Since 2025 is divisible by both 25 and 9, it is divisible by 225.

Tips and Tricks for Divisibility Rule of 225

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 225.

Know the multiples of 225:

Memorize the multiples of 225 (225, 450, 675, 900, ...etc.) to quickly check the divisibility. If a number is divisible by both 25 and 9, it is divisible by 225.

Use the digit sum method:

For checking divisibility by 9, sum the digits of the number. If the result is a multiple of 9, the original number is divisible by 9.

Check the last two digits:

For divisibility by 25, ensure the last two digits are either 00, 25, 50, or 75.

Repeat the process for large numbers:

Students should keep repeating the divisibility process for each component (25 and 9) until they confirm divisibility for large numbers.

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.

Common Mistakes and How to Avoid Them in Divisibility Rule of 225

Divisibility Rule of 225 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Is the number of pages in a book, 900, divisible by 225?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Can an order of 1125 candies be evenly distributed into boxes of 225?

Explanation

Problem 3

Is a storage capacity of 675 units divisible by 225?

Explanation

Problem 4

Can you fit 1800 seats in rows of 225 seats each?

Explanation

Problem 5

Is a batch of 2000 cookies divisible into packs of 225?

Explanation

FAQs on Divisibility Rule of 225

1.What is the divisibility rule for 225?

2.How many numbers are there between 1 and 1000 that are divisible by 225?

3. Is 675 divisible by 225?

4. What if the sum of digits is 9 in checking divisibility by 9?

5. Does the divisibility rule of 225 apply to all integers?

Important Glossaries for Divisibility Rule of 225

Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if it ends with an even number.

Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 225 are 225, 450, 675, 900, ...

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

Sum of digits: Adding all the digits of a number together to check divisibility by certain numbers, like 9.

Last two digits: Referring to the last two digits of a number, important for checking divisibility by numbers like 25.

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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.