226 LearnersLast updated on May 26th, 2025
Divisibility Rule of 974
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.
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.
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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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 974
The divisibility rule of 974 helps us to quickly check if the given number is divisible by 974, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not breaking down the number into prime factors.
Students should always break down the number into its prime factors (2 and 487) to check divisibility.
Mistake 2
Forgetting to check divisibility by both factors.
Always ensure to check divisibility by both 2 and 487.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have reached a large number. The process should be repeated until we get a small number that is divisible by 974.
Mistake 4
Ignoring the importance of prime factorization.
Understanding the prime factorization of 974 is crucial. Always factorize the number correctly.
Mistake 5
Confusing the steps
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
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Divisibility Rule of 974 Examples
Problem 1
Is 1948 divisible by 974?
Yes, 1948 is divisible by 974.
Explanation
To verify the divisibility of 1948 by 974, we need to perform a division check.
1) Divide 1948 by 974: 1948 ÷ 974 = 2.
2) The result is a whole number with no remainder, confirming that 1948 is divisible by 974.
Problem 2
Check the divisibility rule of 974 for 2922.
Yes, 2922 is divisible by 974.
Explanation
We verify the divisibility by division.
1) Divide 2922 by 974: 2922 ÷ 974 = 3.
2) The quotient is a whole number with no remainder, indicating that 2922 is divisible by 974.
Problem 3
Is 487 divisible by 974?
No, 487 is not divisible by 974.
Explanation
To check if 487 is divisible by 974, we perform the division.
1) Divide 487 by 974: 487 ÷ 974 ≈ 0.5.
2) Since the result is not a whole number, 487 is not divisible by 974.
Problem 4
Can 1948 be divided by 974 without a remainder?
Yes, 1948 can be divided by 974 without a remainder.
Explanation
We perform a division check to confirm this.
1) Divide 1948 by 974: 1948 ÷ 974 = 2.
2) The division results in a whole number, confirming no remainder is present.
Problem 5
Is 8778 divisible by 974?
No, 8778 is not divisible by 974.
Explanation
To determine if 8778 is divisible by 974, perform the division.
1) Divide 8778 by 974: 8778 ÷ 974 ≈ 9.01.
2) Since the result is not a whole number, 8778 is not divisible by 974.
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FAQs on Divisibility Rule of 974
1.What is the divisibility rule for 974?
2.How do I know if a number is divisible by 974?
3.Is 1948 divisible by 974?
4.What if I only check divisibility by one factor?
5.Does the divisibility rule of 974 apply to all integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 974 ?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 974 with numbers?
8.What role do numbers and Divisibility Rule of 974 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 974 skills?
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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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About BrightChamps in United Arab Emirates
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.
Fun Fact
: She loves to read number jokes and games.
