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Last updated on February 17th, 2025

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Divisibility Rule of 750

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Foundation
Intermediate
Advance Topics

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 750.

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What is the Divisibility Rule of 750?

The divisibility rule for 750 is a method by which we can find out if a number is divisible by 750 or not without using the division method.

A number is divisible by 750 if it is divisible by 2, 3, and 5. Check whether 3750 is divisible by 750 with the divisibility rule.

 

Step 1: Check divisibility by 2. The last digit of 3750 is 0, which is even, so it is divisible by 2.

 

Step 2: Check divisibility by 3. Add the digits of 3750: 3 + 7 + 5 + 0 = 15. Since 15 is divisible by 3, 3750 is also divisible by 3.

 

Step 3: Check divisibility by 5. The last digit of 3750 is 0, so it is divisible by 5.

 

Since 3750 is divisible by 2, 3, and 5, it is divisible by 750.

divisibility rule of 750

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Tips and Tricks for Divisibility Rule of 750

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 750.

 

Know the basic divisibility rules:

 

A number is divisible by 2 if its last digit is even.
A number is divisible by 3 if the sum of its digits is divisible by 3.
A number is divisible by 5 if its last digit is 0 or 5.

 

Combine divisibility checks:


Since 750 = 2 × 3 × 5 × 5, check for 2, 3, and 5 as explained above.

 

Repeat the process for large numbers:


For larger numbers, apply the rule to smaller parts or groups of the number if needed.

 

Use the division method to verify:


Students can use the division method as a way to verify and crosscheck 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 750

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Divisibility Rule of 750 Examples

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Problem 1

Is 3000 divisible by 750?

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Explanation

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Problem 2

Check the divisibility rule of 750 for 3750.

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Explanation

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Problem 3

Is 1500 divisible by 750?

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Explanation

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Problem 4

Can 2250 be divisible by 750 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 750 for 6000.

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Explanation

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FAQs on Divisibility Rule of 750

1.What is the divisibility rule for 750?

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2.How many numbers are there between 1 and 1000 that are divisible by 750?

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3.Is 1500 divisible by 750?

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4.What if I get 0 after performing the checks?

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5.Does the divisibility rule of 750 apply to all integers?

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Important Glossaries for Divisibility Rule of 750

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even digit.

 

  • Factors: Numbers that divide another number exactly without leaving a remainder. For example, 2, 3, and 5 are factors of 750.

 

  • Multiple: A number that can be divided by another number without leaving a remainder. For example, 750 is a multiple of 150.

 

  • Integer: A whole number that can be positive, negative, or zero.

 

  • Sum of digits: The total obtained by adding all the digits of a number. For example, the sum of the digits of 3750 is 15.
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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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