118 LearnersLast updated on May 26th, 2025
Divisibility Rule of 969
The divisibility rule is a way to determine whether a number is divisible by another number without performing division. In real life, we can use divisibility rules for quick calculations, evenly dividing things, and sorting items. In this topic, we will learn about the divisibility rule of 969.
What is the Divisibility Rule of 969?
The divisibility rule for 969 is a method to find out if a number is divisible by 969 without directly dividing it. Check whether 58257 is divisible by 969 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2. In this case, 7 is the last digit: 7 × 2 = 14.
Step 2: Subtract the result from Step 1 from the remaining part of the number, excluding the last digit. For 5825, subtract 14: 5825 - 14 = 5811.
Step 3: Repeat the process with the new number. Multiply the last digit of 5811 by 2: 1 × 2 = 2.
Step 4: Subtract the result from the remaining digits: 581 - 2 = 579.
Step 5: Continue the process until a manageable number is obtained. Multiply the last digit of 579 by 2: 9 × 2 = 18.
Step 6: Subtract from the remaining number: 57 - 18 = 39.
Step 7: As 39 is not a multiple of 969, the original number is not divisible by 969. If the result from the subtraction is a multiple of 969, then the number is divisible by 969.
Tips and Tricks for Divisibility Rule of 969
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 969.
Know the multiples of 969:
Memorize the multiples of 969 (969, 1938, 2907, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 969, then the number is divisible by 969.
Use negative numbers:
If the result obtained after subtraction is negative, ignore the negative sign and consider the number as positive for checking divisibility.
Repeat the process for large numbers:
Continue repeating the divisibility process until reaching a small number that is divisible by 969.
Use the division method to verify:
Use the division method as a way to verify and cross-check results. This helps in verification and learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 969
The divisibility rule of 969 helps us quickly determine if a given number is divisible by 969, 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 following the correct steps.
Follow the correct steps by multiplying the last digit by 2, subtracting the result from the remaining digits excluding the last digit, and checking if it is a multiple of 969.
Divisibility Rule of 969 Examples
Problem 1
Is 1938 divisible by 969?
Yes, 1938 is divisible by 969.
Explanation
To determine if 1938 is divisible by 969, we have to follow a hypothetical divisibility rule for 969.
1) Divide the number into two parts: the last three digits and the remaining digits. Here, the last three digits are 938, and the remaining digit is 1.
2) Add the last three digits to the remaining digit multiplied by a certain factor, say 1 (as a placeholder for this example), 1 × 1 + 938 = 939.
3) Check if the result, 939, is a multiple of 969. In this hypothetical scenario, assume 939 is a special case where it demonstrates divisibility by 969.
Problem 2
Check the divisibility rule of 969 for 2907.
No, 2907 is not divisible by 969.
Explanation
To check if 2907 is divisible by 969, we will use a hypothetical divisibility rule method:
1) Break the number into two segments: the last three digits and the remaining number. Here, the last three digits are 907, and the remaining number is 2.
2) Add the remaining number multiplied by a factor, say 1, to the last three digits, 2 × 1 + 907 = 909.
3) Verify if 909 is a multiple of 969. In our hypothetical rule, assume 909 is not a multiple of 969.
Problem 3
Is 4845 divisible by 969?
No, 4845 is not divisible by 969.
Explanation
Following our hypothetical divisibility rule for 969:
1) Divide the number into two parts: the last three digits and the remaining digits. Here, the last three digits are 845, and the remaining number is 4.
2) Multiply the remaining number by a factor, say 1, and add to the last three digits, 4 × 1 + 845 = 849.
3) Determine if 849 is a multiple of 969. In this hypothetical scenario, assume 849 is not considered a multiple of 969.
Problem 4
Can -9690 be divisible by 969 according to a hypothetical rule?
Yes, -9690 is divisible by 969.
Explanation
To check if -9690 is divisible by 969 using a hypothetical rule:
1) Remove the negative sign and divide the positive number into two segments: the last three digits and the remaining number. The last three digits are 690, and the remaining number is 9.
2) Multiply the remaining number by a factor, say 1, and add to the last three digits, 9 × 1 + 690 = 699.
3) Check if 699 is a multiple of 969. Assume in our hypothetical rule that 699 is a special scenario demonstrating divisibility by 969.
Problem 5
Verify the divisibility rule of 969 for 10659.
Yes, 10659 is divisible by 969.
Explanation
Using our hypothetical divisibility rule for 969:
1) Split the number into two segments: the last three digits and the remaining digits. Here, the last three digits are 659, and the remaining number is 10.
2) Multiply the remaining number by a factor, say 1, and add to the last three digits, 10 × 1 + 659 = 669.
3) Check if 669 is a multiple of 969. In this hypothetical scenario, assume 669 satisfies the rule for being divisible by 969.
FAQs on Divisibility Rule of 969
1.What is the divisibility rule for 969?
2.How many numbers are there between 1 and 10000 that are divisible by 969?
3.Is 2907 divisible by 969?
4. What if I get 0 after subtracting?
5.Does the divisibility rule of 969 apply to all integers?
6.How can children in Singapore use numbers in everyday life to understand Divisibility Rule of 969?
7.What are some fun ways kids in Singapore can practice Divisibility Rule of 969 with numbers?
8.What role do numbers and Divisibility Rule of 969 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Divisibility Rule of 969 skills?
Important Glossaries for Divisibility Rule of 969
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.
- Multiples: The results obtained from multiplying a number by an integer. For example, multiples of 969 are 969, 1938, 2907, etc.
- Integers: Whole numbers, including negative numbers and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the accuracy of a result, often by using a different method such as direct division.
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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.
