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Last updated on February 14th, 2025

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Divisibility Rule of 631

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Intermediate
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The divisibility rule is a method to determine whether a number is divisible by another number without performing actual division. In real life, divisibility rules can help with quick math, even distribution, and sorting. In this topic, we will explore the divisibility rule of 631.

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What is the Divisibility Rule of 631?

The divisibility rule for 631 is a method to determine if a number is divisible by 631 without using the division method. Let's check whether 1262 is divisible by 631 using this rule.

 

Step 1: Divide the number into two parts: the leftmost digits and the last three digits. For 1262, the leftmost part is 1 and the last three digits are 262.

 

Step 2: Multiply the leftmost part by 2. 1 × 2 = 2.

 

Step 3: Add the result from Step 2 to the last three digits. 262 + 2 = 264.

 

Step 4: If the result is a multiple of 631, then the original number is divisible by 631. In this example, 264 is not a multiple of 631, so 1262 is not divisible by 631.
divisibility rule of 631

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Tips and Tricks for Divisibility Rule of 631

Learning the divisibility rule will help master division skills. Here are a few tips and tricks for the divisibility rule of 631:

 

1. Know the multiples of 631:

 

Memorize the multiples of 631 (631, 1262, 1893, etc.) to quickly check divisibility. If the result from step 3 is a multiple of 631, the number is divisible by 631.

 

2. Use positive results:

 

If the result from step 3 is negative, consider it as positive for checking divisibility.

 

3. Repeat the process for large numbers:

 

Continue applying the divisibility process until reaching a small number that can be easily checked against 631. For example, to check if 3155 is divisible by 631, divide into 3 and 155. Multiply 3 by 2 to get 6, and add to 155 to get 161. Since 161 is not a multiple of 631, 3155 is not divisible by 631.

 

4. Use the division method to verify:

 

Use the division method to verify and cross-check results, helping to confirm understanding.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 631

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Divisibility Rule of 631 Examples

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Problem 1

Is 1893 divisible by 631?

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Explanation

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Problem 2

Check the divisibility rule of 631 for 1262.

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Explanation

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Problem 3

Is -1262 divisible by 631?

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Explanation

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Problem 4

Can 2524 be divisible by 631 using a divisibility check?

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Explanation

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Problem 5

Check the divisibility rule of 631 for 3155

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Explanation

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FAQs on Divisibility Rule of 631

1.What is the divisibility rule for 631?

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2.How many numbers are there between 1 and 2000 that are divisible by 631?

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3.Is 1262 divisible by 631?

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4.What if I get 0 after adding?

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5.Does the divisibility rule of 631 apply to all integers?

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Important Glossaries for Divisibility Rule of 631

  • Divisibility rule: A set of rules to determine if one number is divisible by another without performing division.

 

  • Multiples: Results obtained from multiplying a number by an integer. For example, multiples of 631 are 631, 1262, 1893, etc.

 

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

 

  • Addition: The mathematical operation of combining two numbers to get their sum.

 

  • Calculation: The process of computing or determining something mathematically.
     
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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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