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Last updated on February 15th, 2025

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The Divisibility Rule of 651

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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 651.

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What is the Divisibility Rule of 651?

The divisibility rule for 651 is a method by which we can find out if a number is divisible by 651 or not without using the division method. Check whether 1302 is divisible by 651 with the divisibility rule.

 

Step 1: Divide the number into two equal parts if possible, otherwise, take the closest equal parts. Here in 1302, divide it into 13 and 02. 

 

Step 2: Multiply the first part by 2 and add it to the second part. 13 × 2 + 02 = 28.

 

Step 3: If the result is a multiple of 651, then the number is divisible by 651. Since 28 is not a multiple of 651, 1302 is not divisible by 651.divisibility rule of 651

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Tips and Tricks for Divisibility Rule of 651

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 651.

 

  • Know the multiples of 651: Memorize the multiples of 651 (651, 1302, 1953, 2604, etc.) to quickly check divisibility. If the result from the addition is a
     
  • Use large numbers: If the result after the addition is larger than 651, check if it is a multiple of 651 for divisibility.
     
  • Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that can be checked against known multiples of 651. For example, check if 2604 is divisible by 651 using the divisibility test. Divide into two parts, 26 and 04. Multiply the first part by 2, i.e., 26 × 2 = 52. Add the second part, 52 + 04 = 56. Since 56 is not a multiple of 651, repeat the process. 2604 divided into 260 and 4. Multiply 260 by 2, i.e., 520. Add the second part, 520 + 4 = 524. 524 is not a multiple of 651, so 2604 is not divisible by 651.
     
  • 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 651

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Divisibility Rule of 651 Examples

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Problem 1

Is 1953 divisible by 651?

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Explanation

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Problem 2

Check the divisibility rule of 651 for 1302.

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Explanation

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Problem 3

Is -2604 divisible by 651?

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Explanation

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Problem 4

Can 871 be divisible by 651 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 651 for 6510.

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Explanation

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FAQs on Divisibility Rule of 651

1.What is the divisibility rule for 651?

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2.How many numbers are there between 1 and 3000 that are divisible by 651?

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3.Is 1302 divisible by 651?

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4.What if I get 0 after processing the parts?

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5.Does the divisibility rule of 651 apply to all integers?

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Important Glossaries for Divisibility Rule of 651

  • 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 651 if the processed result is a multiple of 651.
     
  • Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 651 are 651, 1302, 1953, 2604, etc.
     
  • Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
     
  • Addition: Addition is the process of finding the total or sum by combining two or more numbers.
     
  • Verification: The process of confirming accuracy, such as using the traditional division method to confirm divisibility.
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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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: She loves to read number jokes and games.

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