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Last updated on February 18th, 2025

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Divisibility Rule of 970

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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 970.

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What is the Divisibility Rule of 970?

The divisibility rule for 970 is a method by which we can find out if a number is divisible by 970 or not without using the division method. Check whether 5820 is divisible by 970 with the divisibility rule.

 
Step 1: Check if the number is divisible by 2. A number is divisible by 2 if it ends in an even digit. Here, 5820 ends in 0, which is even. So, it is divisible by 2.


Step 2: Check if the number is divisible by 5. A number is divisible by 5 if it ends in 0 or 5. Here, 5820 ends in 0, so it is divisible by 5.


Step 3: Check if the number is divisible by 97. Divide 5820 by 97. If it results in a whole number, then the number is divisible by 97. In this case, 5820 divided by 97 equals 60. Therefore, 5820 is divisible by 97.
Since 5820 is divisible by 2, 5, and 97, it is also divisible by 970.
divisibility rule of 970

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Tips and Tricks for Divisibility Rule of 970

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 970.

 

Know the factors of 970:

970 = 2 × 5 × 97. Ensure the number is divisible by each of these factors.

 

Use the divisibility rules for 2, 5, and 97:

Memorize these rules to quickly check divisibility.

 

Repeat the process for large numbers:

Students should keep repeating the process of checking divisibility by 2, 5, and 97 for large numbers.


Use the division method to verify:

Students can use the division method as a way to verify and crosscheck 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 970

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Divisibility Rule of 970 Examples

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Problem 1

Is 3880 divisible by 970?

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Explanation

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Problem 2

Check the divisibility of 5820 by 970.

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Explanation

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Problem 3

Is 7760 divisible by 970?

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Explanation

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Problem 4

Can 2540 be divisible by 970 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 970 for 4850.

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Explanation

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FAQs on Divisibility Rule of 970

1.What is the divisibility rule for 970?

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2.How many numbers are there between 1 and 10,000 that are divisible by 970?

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3.Is 4850 divisible by 970?

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4.What if I get a remainder when checking divisibility by 97?

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5.Does the divisibility rule of 970 apply to all integers?

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Important Glossaries for Divisibility Rule of 970

  • Divisibility rule: A set of rules used to find out whether a number is divisible by another number.

 

  • Factors: Numbers that divide into another number without leaving a remainder. For example, the factors of 970 are 2, 5, and 97.

 

  • Multiples: Results of multiplying a number by an integer. For example, multiples of 970 are 970, 1940, 2910, etc.

 

  • Integer: A whole number that can be positive, negative, or zero.

 

  • Remainder: The amount left over after division when one number does not divide the other exactly
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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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