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Last updated on February 17th, 2025

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Divisibility Rule of 244

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Intermediate
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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 244.

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What is the Divisibility Rule of 244?

The divisibility rule for 244 helps us determine if a number is divisible by 244 without using the division method directly. To check whether a number is divisible by 244, follow these steps:

 

Step 1: Check if the number is divisible by 4 by ensuring the last two digits form a number divisible by 4.

 

Step 2: Check if the number is divisible by 61. For a simple check, subtract 61, 122, or 183 from the number repeatedly until you reach a remainder that is either 0 or another multiple of 61.

 

Step 3: If both conditions are met, the number is divisible by 244. If either condition is not met, the number is not divisible by 244.

 

Example: Check whether 1464 is divisible by 244.

 

Step 1: Check divisibility by 4. The last two digits are 64, which is divisible by 4.

 

Step 2: Check divisibility by 61. Subtract 61 from 1464 repeatedly: 1464-61=1403, 1403-61=1342, 1342-61=1281, 1281-61=1220, 1220-61=1159, 1159-61=1098, 1098-61=1037, 1037-61=976, 976-61=915, 915-61=854, 854-61=793, 793-61=732, 732-61=671, 671-61=610, 610-61=549, 549-61=488, 488-61=427, 427-61=366, 366-61=305, 305-61=244, 244-61=183. We reached 183, which is a multiple of 61.

 

Since both conditions are met, 1464 is divisible by 244.
 

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Tips and Tricks for Divisibility Rule of 244

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 244.

 

1. Know the multiples of 244:

 

Memorize the multiples of 244 (244, 488, 732, 976, etc.) to quickly check divisibility. If the result from the subtraction in step 2 is a multiple of 61, then the number satisfies the second condition.

 

2. Use negative numbers:

 

If the result we get after subtraction is negative, consider it as positive for checking the divisibility of a number.

 

3. Repeat the process for large numbers:

 

Repeat the divisibility process until you reach a small number that is either 0 or a multiple of 61. 

 

4. Use the division method to verify:

 

Use the division method as a way to verify and cross-check results. This will help verify the answer and reinforce learning.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 244

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Divisibility Rule of 244 Examples

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Problem 1

Is 488 divisible by 244?

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Explanation

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Problem 2

Check the divisibility rule of 244 for 732.

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Explanation

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Problem 3

Is 976 divisible by 244?

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Explanation

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Problem 4

Can 500 be divisible by 244 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 244 for 2440.

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Explanation

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FAQs on Divisibility Rule of 244

1.What is the divisibility rule for 244?

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2.How many numbers are there between 1 and 1000 that are divisible by 244?

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3.Is 488 divisible by 244?

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4.What if I get 0 after subtracting?

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5.Does the divisibility rule of 244 apply to all integers?

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Important Glossaries for Divisibility Rule of 244

  • Divisibility rule: A set of rules used to determine whether a number is divisible by another without direct division

 

  • Multiple: The result obtained by multiplying a number by an integer. For example, multiples of 244 include 244, 488, and 732.

 

  • Integer: A number that includes all 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 the divisor does not perfectly divide the dividend.
     
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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.

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Fun Fact

: She loves to read number jokes and games.

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