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Last updated on February 14th, 2025

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Divisibility Rule of 625

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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 625.

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What is the Divisibility Rule of 625?

The divisibility rule for 625 is a method by which we can determine if a number is divisible by 625 without using the division method. Check whether 5,000 is divisible by 625 with the divisibility rule.

 

Step 1: A number is divisible by 625 if the last four digits form a number that is divisible by 625. Here, the last four digits of 5,000 are 0000.  

 

Step 2: Since 0000 is divisible by 625, therefore, the number 5,000 is divisible by 625. If the result from Step 1 isn't divisible by 625, then the number isn't divisible by 625.
divisibility rule of 625

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Tips and Tricks for Divisibility Rule of 625

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 625.

 

Know the multiples of 625:


Memorize the multiples of 625 (625, 1250, 1875, 2500, etc.) to quickly check divisibility. If the last four digits form a number that is a multiple of 625, then the number is divisible by 625.

 

Use zero endings:


If the last four digits of the number end in 0000, you can quickly determine divisibility by 625, as any number ending in 0000 is divisible by 625.

 

Use the division method to verify:


Students can use the division method as a way 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 625

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Divisibility Rule of 625 Examples

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Problem 1

Is 625,000 divisible by 625?

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Explanation

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Problem 2

Check the divisibility rule of 625 for 1,250,625.

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Explanation

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Problem 3

Is 987,125 divisible by 625?

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Explanation

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Problem 4

Can 3,456,250 be divisible by 625 using the divisibility rule?

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Explanation

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Problem 5

Check the divisibility of 2,750,375 by 625.

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Explanation

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FAQs on Divisibility Rule of 625

1.What is the divisibility rule for 625?

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2. How many numbers are there between 1 and 10,000 that are divisible by 625?

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3.Is 2500 divisible by 625?

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4. What if I get 0000 in the last four digits?

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5.Does the divisibility rule of 625 apply to all integers?

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Important Glossaries for Divisibility Rule of 625

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

 

  • Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 625 are 625, 1250, 1875, 2500, etc.

 

  • Last four digits: The four digits at the end of a number used to determine divisibility by 625.

 

  • Zero endings: When a number ends in a series of zeros, indicating potential divisibility by certain numbers like 625.

 

  • Division method: The traditional method of dividing numbers to verify results obtained from divisibility rules.
     
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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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