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Last updated on February 18th, 2025

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Divisibility Rule of 974

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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 974.

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What is the Divisibility Rule of 974?

The divisibility rule for 974 is a method by which we can find out if a number is divisible by 974 or not without using the division method. Check whether 1948 is divisible by 974 with the divisibility rule.

 

Step 1: Break down 974 into its prime factors, which are 2, 487. Check the divisibility of the number by these prime factors. 

 

Step 2: First, check if the number is divisible by 2. Since the last digit of 1948 is 8, which is even, 1948 is divisible by 2. Divide 1948 by 2 to get 974.

 

Step 3: Now check if 974 is divisible by 487. Since 974 is exactly 487 multiplied by 2, 974 is divisible by 487. 

 

Step 4: Since 1948 is divisible by 2 and 974 is divisible by 487, 1948 is divisible by 974.  
divisibility rule of 974

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Tips and Tricks for Divisibility Rule of 974

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 974.  

 

Know the factors of 974:

Memorize the factors of 974, which are 2 and 487, to quickly check the divisibility of a number.

 

Use the division process:

Divide the number by the prime factors of 974 to verify divisibility. If the number is divisible by both 2 and 487, then it is divisible by 974.  

 

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 974.  

 

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 to verify and also learn.  

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Common Mistakes and How to Avoid Them in Divisibility Rule of 974

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Divisibility Rule of 974 Examples

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Problem 1

Is 1948 divisible by 974?

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Explanation

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Problem 2

Check the divisibility rule of 974 for 2922.

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Explanation

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Problem 3

Is 487 divisible by 974?

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Explanation

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Problem 4

Can 1948 be divided by 974 without a remainder?

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Explanation

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Problem 5

Is 8778 divisible by 974?

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Explanation

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FAQs on Divisibility Rule of 974

1.What is the divisibility rule for 974?

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2.How do I know if a number is divisible by 974?

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3.Is 1948 divisible by 974?

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4.What if I only check divisibility by one factor?

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5.Does the divisibility rule of 974 apply to all integers?

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Important Glossaries for Divisibility Rule of 974

  • Divisibility: The condition in which one number can be divided by another without leaving a remainder.  

 

  • Prime Factors: The prime numbers that multiply together to yield the original number, such as 2 and 487 for 974.  

 

  • Even Number: A number that is divisible by 2.  

 

  • Factorization: The process of breaking down a number into its constituent factors.  

 

  • Verification: The process of confirming the correctness of a result using an alternative method, such as division.
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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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