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116 LearnersLast updated on February 18th, 2025
Divisibility Rule of 921
The divisibility rule is a method to determine whether a number is divisible by another number without performing the division operation. In real life, divisibility rules allow for quick calculations, even distribution, and organization. In this topic, we will explore the divisibility rule of 921.
What is the Divisibility Rule of 921?
The divisibility rule for 921 is a method by which we can determine if a number is divisible by 921 without division. Let's check whether 1842 is divisible by 921 using this rule.
Step 1: Multiply the last digit of the number by 2. In 1842, the last digit is 2. Multiply it by 2: 2 × 2 = 4.
Step 2: Add the result from Step 1 to the remaining number, excluding the last digit. That is, 184 + 4 = 188.
Step 3: Since 188 is not a multiple of 921, 1842 is not divisible by 921. If the result from Step 2 were a multiple of 921, the number would be divisible by 921.
Tips and Tricks for Divisibility Rule of 921
Learning the divisibility rule helps students master division. Here are a few tips and tricks for the divisibility rule of 921:
Know the multiples of 921:
Memorize the multiples of 921 (921, 1842, 2763, etc.) to quickly check divisibility. If the result from the addition is a multiple of 921, then the number is divisible by 921.
Use negative numbers:
If the result after addition is negative, treat it as positive to check divisibility.
Repeat the process for large numbers:
Continue the divisibility process until reaching a smaller number divisible by 921. For example, check if 3684 is divisible by 921:
Multiply the last digit by 2, i.e., 4 × 2 = 8.
Add the remaining digits excluding the last digit, 368 + 8 = 376.
Since 376 is not a multiple of 921, 3684 is not divisible by 921.
Use the division method to verify:
Students can use the division method to verify their results, reinforcing their learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 921
Divisibility Rule of 921 Examples
Problem 1
Is 3684 divisible by 921?
Explanation
Problem 2
Check the divisibility rule of 921 for 5526.
Explanation
Problem 3
Is -921 divisible by 921?
Explanation
Problem 4
Can 1842 be divisible by 921 following a divisibility rule?
Explanation
Problem 5
Check the divisibility rule of 921 for 2763.
Explanation
FAQs on Divisibility Rule of 921
1.What is the divisibility rule for 921?
2.How many numbers between 1 and 10,000 are divisible by 921?
3. Is 1842 divisible by 921?
4.What if I get 0 after adding?
5.Does the divisibility rule of 921 apply to all integers?
Important Glossaries for Divisibility Rule of 921:
- Divisibility rule: A set of guidelines to determine if a number is divisible by another number without performing division.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 921 are 921, 1842, 2763, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Addition: The process of calculating the total of two or more numbers or amounts.
- Subtraction: The process of determining the difference between two numbers by reducing one from another.
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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.
