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125 LearnersLast updated on February 18th, 2025
Divisibility Rule of 961
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 961.
What is the Divisibility Rule of 961?
The divisibility rule for 961 is a method by which we can find out if a number is divisible by 961 or not without using the division method. Check whether a number is divisible by 961 by using the divisibility rule.
Step 1: Take the last digit of the number and multiply it by 100.
Step 2: Subtract the result from Step 1 from the rest of the number, excluding the last digit.
Step 3: If the result is a multiple of 961, the original number is divisible by 961. If it isn't a multiple of 961, then the number isn't divisible by 961.
Let's check whether 1922 is divisible by 961 using the divisibility rule:
Step 1: Multiply the last digit by 100. Here, 2 × 100 = 200.
Step 2: Subtract 200 from the remaining number, excluding the last digit: 192 - 200 = -8.
Step 3: Since -8 is not a multiple of 961, 1922 is not divisible by 961.
Tips and Tricks for Divisibility Rule of 961
Learning the divisibility rule can help individuals master division. Let’s learn a few tips and tricks for the divisibility rule of 961.
Know the multiples of 961:
Memorize the multiples of 961 (961, 1922, 2883, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 961, then the number is divisible by 961.
Use negative numbers:
If the result we get after the subtraction is negative, consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers:
Continue the divisibility process until reaching a small number that is divisible by 961. For example, if checking a larger number, continue the process iteratively.
Use the division method to verify:
Use the division method to verify and cross-check results. This helps confirm and reinforce learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 961
The divisibility rule of 961 helps us quickly check if a given number is divisible by 961, but common mistakes like calculation errors can lead to incorrect conclusions. Here are some common mistakes and their solutions:
Mistake 1
Not following the correct steps.
Follow the correct steps: multiply the last digit by 100 and then subtract the result from the remaining digits, excluding the last digit, and check if it's a multiple of 961.
Divisibility Rule of 961 Examples
Problem 1
Are 3844 apples divisible among 4 friends equally?
Yes, 3844 apples are divisible among 4 friends equally.
Explanation
To check if 3844 is divisible by 4:
1) Check the last two digits of the number, 44.
2) Since 44 is divisible by 4 (as 44 ÷ 4 = 11), the entire number 3844 is divisible by 4.
Problem 2
Is the number of pages in a book, 2500, divisible by 5?
Yes, 2500 is divisible by 5.
Explanation
For divisibility by 5:
1) Check if the last digit is 0 or 5.
2) The last digit of 2500 is 0, which means it is divisible by 5.
Problem 3
Can a shipment of 6720 packages be divided into boxes of 8 without leftovers?
Yes, 6720 packages can be divided into boxes of 8 without leftovers.
Explanation
To check divisibility by 8:
1) Look at the last three digits of the number, 720.
2) Since 720 is divisible by 8 (as 720 ÷ 8 = 90), the entire number 6720 is divisible by 8.
Problem 4
Is the number 15625 divisible by 25?
Yes, 15625 is divisible by 25.
Explanation
For divisibility by 25:
1) Check if the last two digits form a number divisible by 25.
2) The last two digits are 25, which is divisible by 25 (as 25 ÷ 25 = 1).
Problem 5
Can a group of 729 students form teams of 9?
Yes, 729 students can form teams of 9.
Explanation
To check divisibility by 9:
1) Add the digits of the number: 7 + 2 + 9 = 18.
2) Since 18 is divisible by 9 (as 18 ÷ 9 = 2), the entire number 729 is divisible by 9.
FAQs on Divisibility Rule of 961
1.What is the divisibility rule for 961?
2.How can I determine if a large number is divisible by 961?
3.Is 2883 divisible by 961?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 961 apply to all integers?
Important Glossaries for Divisibility Rule of 961
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number without division.
- Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 961 are 961, 1922, 2883, etc.
- Integers: Numbers that include whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Remainder: The amount left over after division when one number does not divide the other 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.
