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153 LearnersLast updated on February 15th, 2025
Divisibility Rule of 44
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 44.
What is the Divisibility Rule of 44?
The divisibility rule for 44 is a method by which we can find out if a number is divisible by 44 or not without using the division method. Check whether 616 is divisible by 44 with the divisibility rule.
Step 1: Check if the number is divisible by 4. For 616, the last two digits are 16, which is divisible by 4.
Step 2: Check if the number is divisible by 11. Add and subtract alternating digits. For 616, 6 - 1 + 6 = 11, which is divisible by 11.
Step 3: Since the number is divisible by both 4 and 11, it is divisible by 44.
Tips and Tricks for Divisibility Rule of 44
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 44.
- Know the multiples of 44: Memorize the multiples of 44 (44, 88, 132, etc.) to quickly check divisibility. If a number is divisible by both 4 and 11, it is divisible by 44.
- Use smaller divisibility rules: Remember, to check divisibility by 44, you can break it down into checking divisibility by 4 and 11 separately.
- Repeat the process for large numbers: For large numbers, check the divisibility by 4 and 11 separately and repeatedly if needed.
- Use the division method to verify: Use the division method as a way to verify and crosscheck your results. This will help with verification and learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 44
The divisibility rule of 44 helps us to quickly check if the given number is divisible by 44, but common mistakes like calculation errors 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 checking divisibility by 4 and 11 separately.
Divisibility Rule of 44 Examples
Problem 1
Is 176 divisible by 44?
Yes, 176 is divisible by 44.
Explanation
To determine if 176 is divisible by 44, consider the factors of 44, which are 4 and 11. First, check divisibility by 4. The last two digits of 176 are 76, and 76 is divisible by 4. Next, check divisibility by 11. The alternating sum of the digits is 1 - 7 + 6 = 0, which is divisible by 11. Since 176 satisfies both conditions, it is divisible by 44.
Problem 2
Check if 308 is divisible by 44.
Yes, 308 is divisible by 44.
Explanation
To verify if 308 is divisible by 44, ensure it satisfies divisibility rules for both 4 and 11. For divisibility by 4, the last two digits are 08, which is divisible by 4. For divisibility by 11, calculate the alternating sum: 3 - 0 + 8 = 11, which is divisible by 11. Therefore, 308 is divisible by 44.
Problem 3
Is 352 divisible by 44?
No, 352 is not divisible by 44.
Explanation
To check if 352 is divisible by 44, it must meet the criteria for both 4 and 11. Divisibility by 4 is met since the last two digits, 52, form a number that is divisible by 4. However, for divisibility by 11, the alternating sum is 3 - 5 + 2 = 0, which is divisible by 11, but there was an error earlier. Upon rechecking, the alternating sum calculation should be 3 - 5 + 2 = 0, which is divisible by 11. However, it seems the conditions were misapplied; thus, 352 is actually divisible by 44.
Problem 4
Can 198 be divisible by 44 following the divisibility rule?
No, 198 isn't divisible by 44.
Explanation
For 198 to be divisible by 44, it must satisfy the rules for 4 and 11. The last two digits, 98, are not divisible by 4, so 198 fails the divisibility test for 4. Therefore, 198 is not divisible by 44, regardless of the divisibility by 11.
Problem 5
Check the divisibility rule of 44 for 616.
Yes, 616 is divisible by 44.
Explanation
To check if 616 is divisible by 44, verify divisibility by both 4 and 11. The last two digits, 16, are divisible by 4. The alternating sum for divisibility by 11 is 6 - 1 + 6 = 11, which is divisible by 11. Since both conditions are satisfied, 616 is divisible by 44.
FAQs on Divisibility Rule of 44
1.What is the divisibility rule for 44?
2.How many numbers are there between 1 and 200 that are divisible by 44?
3.Is 132 divisible by 44?
4.What if I get 0 after alternately adding and subtracting digits for 11?
5.Does the divisibility rule of 44 apply to all integers?
Important Glossaries for Divisibility Rule of 44
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 44 are 44, 88, 132, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Addition and subtraction: Processes of combining numbers to find a sum and finding out the difference between numbers, respectively.
- Verification: The process of confirming the correctness of a result, often using 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.
