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132 LearnersLast updated on February 18th, 2025
Divisibility Rule of 924
The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 924.
What is the Divisibility Rule of 924?
The divisibility rule for 924 is a method by which we can find out if a number is divisible by 924 or not without using the division method. Check whether 2772 is divisible by 924 with the divisibility rule.
Step 1: Check divisibility by 2. The last digit of 2772 is 2, which is even, so it is divisible by 2.
Step 2: Check divisibility by 3. Sum the digits: 2 + 7 + 7 + 2 = 18. Since 18 is divisible by 3, 2772 is also divisible by 3.
Step 3: Check divisibility by 11. Alternately subtract and add the digits: 2 - 7 + 7 - 2 = 0. Since 0 is divisible by 11, 2772 is also divisible by 11.
Step 4: Since 2772 is divisible by 2, 3, and 11, it is divisible by 924 (because 924 = 2 × 3 × 11 × 14).
Tips and Tricks for Divisibility Rule of 924
Learning divisibility rules helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 924.
Know the factorization of 924:
Memorize that 924 = 2 × 3 × 11 × 14, so check divisibility by 2, 3, and 11.
Use divisibility shortcuts:
If a number is divisible by 2, 3, and 11, then it is divisible by 924.
Repeat the process for large numbers:
For large numbers, repeat the divisibility checks for 2, 3, and 11 separately to simplify calculations.
Use the division method to verify:
Students can use the division method to verify and cross-check their results. This helps them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 924
The divisibility rule of 924 helps us to quickly check if the given number is divisible by 924, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by checking divisibility by 2, 3, and 11, then confirming divisibility by 924.
Divisibility Rule of 924 Examples
Problem 1
Is 3696 divisible by 924?
Yes, 3696 is divisible by 924.
Explanation
To determine if 3696 is divisible by 924, we can use the divisibility rule.
1) Check if 3696 is divisible by 4: The last two digits are 96, which is divisible by 4.
2) Check if 3696 is divisible by 6: It's divisible by both 2 (since it's an even number) and 3 (since the sum of digits, 3+6+9+6=24, is divisible by 3).
3) Finally, check if 3696 is divisible by 11: Alternate sum of digits is (3+9)-(6+6) = 12-12 = 0, which is divisible by 11.
Since 3696 meets all the criteria, it is divisible by 924.
Problem 2
Check the divisibility rule of 924 for 1848.
Yes, 1848 is divisible by 924.
Explanation
To determine if 1848 is divisible by 924, consider the following checks:
1) Check if 1848 is divisible by 4: The last two digits, 48, are divisible by 4.
2) Check if 1848 is divisible by 6: It's an even number, and the sum of its digits (1+8+4+8=21) is divisible by 3.
3) Check if 1848 is divisible by 11: Alternate sum of digits is (1+4)-(8+8) = 5-16 = -11, which is divisible by 11.
Since 1848 satisfies all these conditions, it is divisible by 924.
Problem 3
Is 5544 divisible by 924?
Yes, 5544 is divisible by 924.
Explanation
To check if 5544 is divisible by 924, follow these steps:
1) Check if 5544 is divisible by 4: The last two digits, 44, are divisible by 4.
2) Check if 5544 is divisible by 6: It's even, and the sum of its digits (5+5+4+4=18) is divisible by 3.
3) Check if 5544 is divisible by 11: Alternate sum of digits is (5+4)-(5+4) = 9-9 = 0, which is divisible by 11.
Since 5544 meets all the divisibility criteria, it is divisible by 924.
Problem 4
Can 2079 be divisible by 924 following the divisibility rule?
No, 2079 is not divisible by 924.
Explanation
To check if 2079 is divisible by 924, we perform the following checks:
1) Check if 2079 is divisible by 4: The last two digits, 79, are not divisible by 4.
2) Since it fails the divisibility test for 4, 2079 is not divisible by 924, and further checks are unnecessary.
Problem 5
Check the divisibility rule of 924 for 8316.
Yes, 8316 is divisible by 924.
Explanation
To verify if 8316 is divisible by 924, consider these checks:
1) Check if 8316 is divisible by 4: The last two digits, 16, are divisible by 4.
2) Check if 8316 is divisible by 6: It's even, and the sum of its digits (8+3+1+6=18) is divisible by 3.
3) Check if 8316 is divisible by 11: Alternate sum of digits is (8+1)-(3+6) = 9-9 = 0, which is divisible by 11.
Since 8316 satisfies all divisibility checks, it is divisible by 924.
FAQs on Divisibility Rule of 924
1.What is the divisibility rule for 924?
2. How many numbers are there between 1 and 1000 that are divisible by 924?
3.Is 1848 divisible by 924?
4. What if I get 0 after subtraction in divisibility by 11?
5.Does the divisibility rule of 924 apply to all integers?
Important Glossaries for Divisibility Rule of 924
- Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
- Factorization: Breaking down a number into its prime factors. For example, 924 = 2 × 3 × 11 × 14.
- Multiple: A result obtained by multiplying a number by an integer. For example, multiples of 924 include 924, 1848, etc.
- Integer: Whole numbers that include positive and negative numbers and zero.
- Subtraction: A process of finding the difference between two numbers by reducing one from the other.
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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.
