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Last updated on May 26th, 2025

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Divisibility Rule of 736

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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 736.

Divisibility Rule of 736 for Indian Students
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What is the Divisibility Rule of 736?

The divisibility rule for 736 is a method by which we can find out if a number is divisible by 736 or not without using the division method.

 

Check whether 1472 is divisible by 736 with the divisibility rule.  

 

Step 1: Check if the number is divisible by both 8 and 92 (since 736 = 8 × 92). 

 

Step 2: For divisibility by 8, check if the last three digits of the number are divisible by 8. Here, in 1472, the last three digits are 472. 472 ÷ 8 = 59, so 472 is divisible by 8.

 

Step 3: For divisibility by 92, check if the number is divisible by 92. Since 1472 ÷ 92 = 16, 1472 is divisible by 92.

 

Step 4: Since 1472 is divisible by both 8 and 92, it is divisible by 736.divisibility rule of 736

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Tips and Tricks for Divisibility Rule of 736

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 736.

 

  • Know the multiples of 736: Memorize the multiples of 736 (736, 1472, 2208, etc.) to quickly check divisibility.
     
  • Use divisibility by 8 and 92: Break down the divisibility rule by checking divisibility by 8 and 92 separately.
     
  • Repeat the process for large numbers: Keep repeating the divisibility process until you reach a small number that is divisible by both 8 and 92. 
     
  • Use the division method to verify: Use the division method as a way to verify and cross-check your results.
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Common Mistakes and How to Avoid Them in Divisibility Rule of 736

The divisibility rule of 736 helps us quickly check if a number is divisible by 736, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.

Mistake 1

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Not checking both 8 and 92.

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Ensure you check the divisibility for both 8 and 92 separately.

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Divisibility Rule of 736 Examples

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Problem 1

Is 2208 divisible by 736?

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Yes, 2208 is divisible by 736.

Explanation

To check if 2208 is divisible by 736, we apply the divisibility rule:


1) Divide the number by 736 directly, 2208 ÷ 736 = 3.


2) Since the result is a whole number, 2208 is divisible by 736.

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Problem 2

Check the divisibility rule of 736 for 2944

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Yes, 2944 is divisible by 736.

Explanation

To verify divisibility by 736 for 2944:


1) Divide 2944 by 736, 2944 ÷ 736 = 4.


2) The result is an integer, so 2944 is divisible by 736.

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Problem 3

Is 1472 divisible by 736?

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Yes, 1472 is divisible by 736.

Explanation

To check if 1472 is divisible by 736:


1) Divide 1472 by 736, 1472 ÷ 736 = 2.


2) The division results in a whole number, confirming that 1472 is divisible by 736.

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Problem 4

Can 1840 be divisible by 736 following the divisibility rule?

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No, 1840 is not divisible by 736

Explanation

To determine if 1840 is divisible by 736:


1) Divide 1840 by 736, 1840 ÷ 736 = 2.5.


2) The result is not an integer, hence 1840 is not divisible by 736.

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Problem 5

Check the divisibility rule of 736 for 3680.

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Yes, 3680 is divisible by 736.

Explanation

To check divisibility by 736 for 3680:


1) Divide 3680 by 736, 3680 ÷ 736 = 5.


2) Since the division yields a whole number, 3680 is divisible by 736.

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FAQs on Divisibility Rule of 736

1.What is the divisibility rule for 736?

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2.How many numbers are there between 1 and 3000 that are divisible by 736?

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3.Is 2944 divisible by 736?

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4.What if I get 0 after checking divisibility by 8 or 92?

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5.Does the divisibility rule of 736 apply to all integers?

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6.How can children in India use numbers in everyday life to understand Divisibility Rule of 736?

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7.What are some fun ways kids in India can practice Divisibility Rule of 736 with numbers?

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8.What role do numbers and Divisibility Rule of 736 play in helping children in India develop problem-solving skills?

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9.How can families in India create number-rich environments to improve Divisibility Rule of 736 skills?

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Important Glossaries for Divisibility Rule of 736

  • 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 736 are 736, 1472, 2208, etc.
     
  • Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
     
  • Division: Division is the process of determining how many times one number is contained within another.
     
  • Remainder: The amount left over after division when one number does not divide the other exactly.
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About BrightChamps in India

At BrightChamps, we see numbers as more than just figures—they are a gateway to endless possibilities! Our mission is to support children all over India in building strong math skills, with today’s focus on the Divisibility Rule of 736 and special attention to understanding the Divisibility Rule—in a way that’s engaging, enjoyable, and easy to follow. Whether your child is calculating the speed of a train, keeping score during a Cricket match, or managing their pocket money to buy the latest gadgets, knowing numbers gives them confidence for daily life. Our interactive lessons keep learning simple and fun. As children in India have varied learning styles, we personalize our teaching to suit each child. From the bustling markets of Mumbai to the vibrant streets of Delhi, BrightChamps makes math relatable and exciting throughout India. Let’s make the Divisibility Rule a joyful part of every child’s math experience!
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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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