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Last updated on February 18th, 2025

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Divisibility Rule of 951

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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 951.

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What is the Divisibility Rule of 951?

The divisibility rule for 951 is a method by which we can find out if a number is divisible by 951 or not without using the division method. Check whether 9510 is divisible by 951 with the divisibility rule.
 

Step 1: Calculate the sum of the digits of the number. Here, in 9510, 9 + 5 + 1 + 0 = 15.
 

Step 2: Check if the sum obtained from Step 1 is divisible by 3. Since 15 is divisible by 3, proceed to the next step.

 

Step 3: Check if the number ends in 0, making it divisible by 10.
 

Step 4: Since 951 is a product of 3 and 317, verify divisibility by checking if 9510 divided by 317 is a whole number.
 

As all conditions are satisfied, 9510 is divisible by 951. If any condition isn't met, the number isn't divisible by 951.

divisibility rule of 951

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Tips and Tricks for Divisibility Rule of 951

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 951.
 

Know the factors of 951:

Understanding that 951 is a product of 3, 317, and 10 helps in checking divisibility.


Use divisibility by 3 and 10:

Ensure the sum of digits is divisible by 3 and the number ends in 0.


Verify with division:

Use division to confirm results when in doubt.
 


 

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Common Mistakes and How to Avoid Them in Divisibility Rule of 951

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Divisibility Rule of 951 Examples

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Problem 1

Is 951 divisible by 951?

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Explanation

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Problem 2

Check the divisibility of 1902 by 951.

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Explanation

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Problem 3

Is 2853 divisible by 951?

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Explanation

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Problem 4

Can 4755 be divisible by 951?

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Explanation

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Problem 5

Check the divisibility of 9510 by 951.

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Explanation

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FAQs on Divisibility Rule of 951

1.What is the divisibility rule for 951?

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2.How many numbers between 1 and 10000 are divisible by 951?

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3.Is 2853 divisible by 951?

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4.What if the sum of digits is 0?

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5.Does the divisibility rule of 951 apply to all integers?

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Important Glossary for Divisibility Rule of 951

  • Divisibility rule: The set of guidelines used to determine if a number is divisible by another number without direct division.
     
  • Factors: Numbers that divide another number completely without leaving a remainder.
     
  • Whole number: A number without fractions; an integer.
     
  • Sum: The result of adding numbers together.
     
  • Integer: A whole number that can be positive, negative, or zero.
     
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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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