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Last updated on February 17th, 2025

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Divisibility Rule of 751

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Foundation
Intermediate
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The divisibility rule is a way to determine whether a number is divisible by another number without using the traditional 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 751.

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What is the Divisibility Rule of 751?

The divisibility rule for 751 is a method by which we can determine if a number is divisible by 751 without using the division method.

Check whether 1502 is divisible by 751 with the divisibility rule.

 

Step 1: Separate the last three digits of the number. Here in 1502, the last three digits are 502.

 

Step 2: Subtract the last three digits from the remaining part of the number, which is 1 in this case. So, 1 - 502 = -501.

 

Step 3: If the result is a multiple of 751, then the number is divisible by 751. Since -501 is not a multiple of 751, 1502 is not divisible by 751.

divisibility rule of 751

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Tips and Tricks for Divisibility Rule of 751

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 751.

 

Know the multiples of 751:

 

Memorize the multiples of 751 (751, 1502, 2253, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 751, then the number is divisible by 751.

 

Use the absolute value:


If the result we get after the subtraction is negative, we will consider its absolute value for checking divisibility.

 

Repeat the process for large numbers:


Students should keep repeating the divisibility process until they reach a result that is clearly a multiple of 751. 

 

Use the division method to verify:


Students can use the division method to verify and cross-check their results. This will help them to verify and also learn.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 751

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Divisibility Rule of 751 Examples

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Problem 1

Is 1502 divisible by 751?

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Explanation

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Problem 2

Determine if 3004 is divisible by 751.

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Explanation

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Problem 3

Is -1502 divisible by 751?

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Explanation

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Problem 4

Can 2253 be divisible by 751 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 751 for 752.

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Explanation

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FAQs on Divisibility Rule of 751

1.What is the divisibility rule for 751?

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2.How many numbers between 1 and 3000 are divisible by 751?

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3.Is 2253 divisible by 751?

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4.What if I get 0 after subtracting?

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5.Does the divisibility rule of 751 apply to all integers?

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Important Glossaries for Divisibility Rule of 751

  • Divisibility rule: A set of rules used to determine whether a number is divisible by another number.

 

  • Multiples: The results obtained by multiplying a number by integers. For example, multiples of 751 are 751, 1502, 2253, etc.

 

  • Absolute value: The non-negative value of a number without regard to its sign.

 

  • Subtraction: The process of finding the difference between two numbers by reducing one number from another.

 

  • Integer: A number that includes all whole numbers, negative numbers, and zero.
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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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