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Last updated on February 14th, 2025

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Divisibility Rule of 629

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Foundation
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 629.

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What is the Divisibility Rule of 629?

The divisibility rule for 629 is a method by which we can find out if a number is divisible by 629 or not without using the division method. Check whether 1258 is divisible by 629 with the divisibility rule.

 

Step 1: Divide the number into two parts, the last three digits and the remaining digits. For 1258, the parts are 1 and 258.

 

Step 2: Multiply the first part by 3. Here, 1 × 3 = 3.

 

Step 3: Add the result from Step 2 to the second part. i.e., 3 + 258 = 261.

 

Step 4: Check if the result from Step 3 is a multiple of 629. If yes, then the number is divisible by 629. If not, then the number is not divisible by 629.
divisibility rule of 629

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Tips and Tricks for Divisibility Rule of 629

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 629.

 

Know the multiples of 629:

 

Memorize the multiples of 629 (629, 1258, 1887, 2516, etc.) to quickly check divisibility. If the result from Step 3 is a multiple of 629, then the number is divisible by 629.

 

Use negative numbers:

 

If the result we get after Step 3 is negative, we will avoid the negative sign and consider it as positive for checking divisibility.

 

Repeat the process for large numbers:

 

Students should keep repeating the divisibility process until they reach a small number that is divisible by 629. 

 

For example: Check if 2516 is divisible by 629 using the divisibility test. 

 

Divide the number into two parts: 2 and 516.

 

Multiply the first part by 3: 2 × 3 = 6.

 

Add this to the second part: 6 + 516 = 522.

 

Since 522 is not a multiple of 629, 2516 is not divisible by 629.

 

4. 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 verify and also learn.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 629

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Divisibility Rule of 629 Examples

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Problem 1

Is 1887 divisible by 629?

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Explanation

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Problem 2

Check the divisibility rule of 629 for 2516.

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Explanation

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Problem 3

Is -1258 divisible by 629?

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Explanation

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Problem 4

Can 377 be divisible by 629 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 629 for 1258.

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Explanation

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FAQs on Divisibility Rule of 629

1.What is the divisibility rule for 629?

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2.How many numbers are there between 1 and 5000 that are divisible by 629?

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3.Is 1887 divisible by 629?

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4.What if I get 0 after subtracting?

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5.Does the divisibility rule of 629 apply to all integers?

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Important Glossaries for Divisibility Rule of 629

  • Divisibility rule: A set of rules used to find out whether a number is divisible by another number without doing actual division.

 

  • Multiples: The results we get after multiplying a number by an integer. For example, multiples of 629 are 629, 1258, 1887, etc.

 

  • Integers: Numbers that include all whole numbers, negative numbers, and zero.

 

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

 

  • Addition: The process of finding the total or sum by combining two or more numbers.
     
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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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