219 LearnersLast updated on May 26th, 2025
Divisibility Rule of 891
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 891.
What is the Divisibility Rule of 891?
The divisibility rule for 891 is a method by which we can determine if a number is divisible by 891 or not without using the division method.
Check whether 1782 is divisible by 891 with the divisibility rule.
Step 1: Check if the number is divisible by 9, 8, and 1. Since 891 is a multiple of these, the number must be divisible by all to be divisible by 891.
For divisibility by 9: Add all the digits of the number. If the sum is divisible by 9, then the number is divisible by 9. For 1782: 1+7+8+2=18; 18 is divisible by 9.
For divisibility by 8: The last three digits of the number form a number that is divisible by 8. For 1782: 782 is not divisible by 8.
For divisibility by 1: All numbers are divisible by 1.
Since 1782 is not divisible by 8, it is not divisible by 891.
Tips and Tricks for Divisibility Rule of 891
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 891.
Know the multiples of 891:
Memorize the multiples of 891 (891, 1782, 2673... etc.) to quickly check divisibility. If a number matches one of these multiples, it is divisible by 891.
Use the constraints of divisibility:
If the sum of the digits is not divisible by 9, or if the last three digits don't form a number divisible by 8, the number is not divisible by 891.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a conclusion about divisibility by 891.
For example, check if 3564 is divisible by 891 using the divisibility test.
Sum of digits: 3+5+6+4=18; 18 is divisible by 9.
Last three digits: 564 is divisible by 8.
Since 3564 meets all the criteria, it is divisible by 891.
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 891
The divisibility rule of 891 helps us quickly check if a given number is divisible by 891, but common mistakes, like calculation errors, lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid errors.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, checking divisibility by 9, 8, and 1.
Mistake 2
Including all digits for 8.
Only the last three digits should be considered when checking divisibility by 8.
Mistake 3
Not repeating the process when unsure.
Students should repeat the process until they are sure about the divisibility.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, practice regularly.
Mistake 5
Mistake 3: Not repeating the process for large numbers.
Students often stop the process after getting a large number. The process should be repeated until we find that it is divisible by both factors.
Divisibility Rule of 891 Examples
Problem 1
Can 4455 be divided by 891 using a divisibility rule?
No, 4455 is not divisible by 891.
Explanation
To determine if 4455 is divisible by 891, we need to check the divisibility rule:
1) Break down 4455 into smaller components or apply the rule directly if available.
2) Since 891 doesn't have a straightforward rule like smaller numbers, we attempt division directly.
3) Dividing 4455 by 891 gives approximately 5.000, which is not an integer. Thus, 4455 is not divisible by 891.
Problem 2
Is 1782 divisible by 891?
Yes, 1782 is divisible by 891.
Explanation
To determine if 1782 is divisible by 891, we use division:
1) Divide 1782 by 891.
2) The result is exactly 2, which is an integer.
3) Therefore, 1782 is divisible by 891.
Problem 3
Check the divisibility of 3564 by 891.
Yes, 3564 is divisible by 891.
Explanation
To check if 3564 is divisible by 891:
1) Divide 3564 by 891.
2) The result is exactly 4, which is an integer.
3) Thus, 3564 is divisible by 891.
Problem 4
Is 2673 divisible by 891?
No, 2673 is not divisible by 891.
Explanation
To check the divisibility of 2673 by 891:
1) Divide 2673 by 891.
2) The result is approximately 3.000, which is not an integer.
3) Therefore, 2673 is not divisible by 891.
Problem 5
Can 890 be divided by 891?
No, 890 is not divisible by 891.
Explanation
To determine if 890 is divisible by 891:
1) Since 890 is less than 891, it cannot be divisible.
2) Any number less than another is not divisible unless it is zero.
3) Therefore, 890 is not divisible by 891.
FAQs on Divisibility Rule of 891
1.What is the divisibility rule for 891?
2.How many numbers are there between 1 and 1000 that are divisible by 891?
3.Is 2673 divisible by 891?
4.What if I get 0 after checking divisibility?
5.Does the divisibility rule of 891 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 891?
7.What are some fun ways kids in United States can practice Divisibility Rule of 891 with numbers?
8.What role do numbers and Divisibility Rule of 891 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 891 skills?
Important Glossaries for Divisibility Rule of 891
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 891 are 891, 1782, 2673...
- Digits: The individual numbers that make up a whole number.
- Subtraction: A process of finding out the difference between two numbers by reducing one from another.
- Remainder: The amount left after division when one number does not divide another exactly.
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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.
