220 LearnersLast updated on May 26th, 2025
Divisibility Rule of 825
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 825.
What is the Divisibility Rule of 825?
The divisibility rule for 825 is a method by which we can find out if a number is divisible by 825 or not without using the division method. Check whether 4950 is divisible by 825 with the divisibility rule.
Step 1: Check divisibility by 5. A number is divisible by 5 if it ends in 0 or 5. In 4950, the last digit is 0, so it is divisible by 5.
Step 2: Check divisibility by 3. Add the digits of the number: 4+9+5+0=18. Since 18 is divisible by 3, 4950 is also divisible by 3.
Step 3: Check divisibility by 11. Subtract the sum of alternate digits: (4+5)-(9+0)=9-9=0. Since 0 is divisible by 11, 4950 is divisible by 11.
Step 4: Since 4950 is divisible by 5, 3, and 11, it is also divisible by 825 (5×3×11=825).
Tips and Tricks for Divisibility Rule of 825
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 825.
Know the prime factorization of 825:
825 = 5 × 3 × 11 × 5. A number must be divisible by all these factors to be divisible by 825.
Use the divisibility rules for 5, 3, and 11:
- For 5: Check if the number ends in 0 or 5.
- For 3: Check if the sum of the digits is divisible by 3.
- For 11: Subtract the sum of the digits in odd positions from the sum of the digits in even positions. If the result is 0 or a multiple of 11, the number is divisible by 11.
Check for large numbers:
If the number is large, break it down by checking divisibility for each factor separately (5, 3, and 11).
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 825
The divisibility rule of 825 helps us quickly check if a given number is divisible by 825, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all factor rules.
Ensure to check divisibility for all factors of 825 (5, 3, and 11) to confirm divisibility.
Mistake 2
Forgetting specific divisibility conditions.
Remember the specific conditions for divisibility by 5, 3, and 11 to avoid errors.
Mistake 3
Not repeating the process when the result is uncertain.
If unsure, repeat the divisibility checks for each factor to confirm.
Mistake 4
Confusing the steps.
Practice regularly to avoid confusion and ensure accuracy in following the steps.
Mistake 5
Miscalculating during division.
Carefully perform calculations or use a calculator for accuracy.
Divisibility Rule of 825 Examples
Problem 1
Is 1650 divisible by 825?
Yes, 1650 is divisible by 825.
Explanation
To check if 1650 is divisible by 825, we observe that 825 is half of 1650. Dividing 1650 by 825 gives us 2, which is a whole number, indicating that 1650 is perfectly divisible by 825.
Problem 2
Check the divisibility rule of 825 for 2475.
Yes, 2475 is divisible by 825.
Explanation
To determine if 2475 is divisible by 825, divide 2475 by 825. The result is 3, which is an integer. Therefore, 2475 is divisible by 825.
Problem 3
Is 3300 divisible by 825?
Yes, 3300 is divisible by 825.
Explanation
To verify if 3300 is divisible by 825, perform the division 3300 ÷ 825. The quotient is 4, which is an integer. This confirms that 3300 is divisible by 825.
Problem 4
Can 4125 be divisible by 825 following the divisibility rule?
No, 4125 is not divisible by 825.
Explanation
Checking the divisibility of 4125 by 825 involves dividing 4125 by 825. The result is approximately 5.0, but since it's not a precise integer, 4125 is not divisible by 825.
Problem 5
Check the divisibility rule of 825 for 9075.
Yes, 9075 is divisible by 825.
Explanation
To check if 9075 is divisible by 825, divide 9075 by 825. The quotient is 11, an integer, confirming that 9075 is divisible by 825.
FAQs on Divisibility Rule of 825
1.What is the divisibility rule for 825?
2.How many numbers are there between 1 and 1000 that are divisible by 825?
3.Is 1650 divisible by 825?
4.What if I get 0 after calculating divisibility by each factor?
5.Does the divisibility rule of 825 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 825?
7.What are some fun ways kids in United States can practice Divisibility Rule of 825 with numbers?
8.What role do numbers and Divisibility Rule of 825 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 825 skills?
Important Glossaries for Divisibility Rule of 825
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
- Prime factorization: Breaking down a number into its prime factors, which are prime numbers that multiply together to make the original number.
- Multiple: The result of multiplying a number by an integer. For example, multiples of 5 are 5, 10, 15, etc.
- Sum of digits: Adding all the digits in a number to check divisibility by certain numbers like 3.
- Alternate digits subtraction: Subtracting the sum of alternate digits to check divisibility, used for 11.
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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.
