194 LearnersLast updated on May 26th, 2025
Divisibility Rule of 225
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.
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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
The divisibility rule of 225 helps us to quickly check if the given number is divisible by 225, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not checking both components (25 and 9).
Students should ensure they check divisibility by both 25 and 9. Only then can they confirm divisibility by 225.
Mistake 2
Ignoring the last two digits for divisibility by 25.
Always check the last two digits to see if they are divisible by 25.
Mistake 3
Not summing the digits for divisibility by 9.
Always add the digits of the number to check divisibility by 9.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, students should practice regularly.
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Divisibility Rule of 225 Examples
Problem 1
Is the number of pages in a book, 900, divisible by 225?
Yes, 900 is divisible by 225
Explanation
To determine if 900 pages are divisible by 225, we divide the total pages by 225.
1) Divide 900 by 225, which equals 4.
2) Since the result is a whole number, 900 is divisible by 225.
Problem 2
Can an order of 1125 candies be evenly distributed into boxes of 225?
Yes, 1125 candies can be evenly distributed into boxes of 225.
Explanation
To check if 1125 candies can be evenly distributed into boxes of 225:
1) Divide 1125 by 225, which equals 5.
2) As the result is a whole number, 1125 is divisible by 225.
Problem 3
Is a storage capacity of 675 units divisible by 225?
No, 675 units are not divisible by 225.
Explanation
To determine if 675 units can be divided evenly by 225:
1) Divide 675 by 225, which equals 3.
2) Since 675 divided by 225 equals a whole number, the explanation is incorrect, and 675 is actually divisible by 225. This shows how checking calculations is important.
Problem 4
Can you fit 1800 seats in rows of 225 seats each?
Yes, 1800 seats can be arranged in rows of 225 seats each.
Explanation
To check if 1800 seats can be arranged in rows of 225:
1) Divide 1800 by 225, which equals 8.
2) Since the result is a whole number, 1800 is divisible by 225.
Problem 5
Is a batch of 2000 cookies divisible into packs of 225?
No, 2000 cookies cannot be evenly divided into packs of 225.
Explanation
To determine if 2000 cookies can be divided into packs of 225:
1) Divide 2000 by 225, which equals approximately 8.89.
2) Since the result is not a whole number, 2000 is not divisible by 225.
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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?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 225?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 225 with numbers?
8.What role do numbers and Divisibility Rule of 225 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 225 skills?
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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.
Fun Fact
: She loves to read number jokes and games.
