159 LearnersLast updated on May 26th, 2025
Divisibility Rule of 238
The divisibility rule is a way to determine whether a number is divisible by another number without using traditional division. In real life, divisibility rules simplify quick calculations, help in dividing things evenly, and assist in sorting items. In this topic, we will learn about the divisibility rule of 238.
What is the Divisibility Rule of 238?
The divisibility rule for 238 is a method by which we can find out if a number is divisible by 238 without using direct division. Let's check whether 4760 is divisible by 238 using the divisibility rule.
Step 1: Break down the number 238 into its prime factors: 2, 7, and 17. A number must be divisible by each of these factors to be divisible by 238.
Step 2: Check if 4760 is divisible by 2, 7, and 17.
- Divisibility by 2: The last digit of 4760 is 0, which is even, so it is divisible by 2.
- Divisibility by 7: Use the rule for 7. Double the last digit and subtract from the rest: 476 - 0 = 476. Since 476 is divisible by 7, so is 4760.
- Divisibility by 17: Divide 4760 by 17. If it results in an integer, it’s divisible by 17.
Step 3: Since 4760 is divisible by 2, 7, and 17, it is divisible by 238.
Tips and Tricks for Divisibility Rule of 238
Understanding the divisibility rule helps in mastering division. Here are some tips and tricks for the divisibility rule of 238:
Memorize the prime factors:
Knowing the prime factors (2, 7, and 17) will aid in quickly checking divisibility.
Use factorization:
Factorize the number into these prime factors to verify divisibility.
Repeat for large numbers:
For large numbers, break them into smaller parts that are easier to check for divisibility by 2, 7, and 17.
Verify using division:
After using the divisibility rule, verify by division to ensure accuracy.
Common Mistakes and How to Avoid Them in Divisibility Rule of 238
The divisibility rule of 238 helps us quickly determine if a number is divisible by 238, but common mistakes like calculation errors can lead to incorrect results. Here, we address some common mistakes:
Mistake 1
Not checking all prime factors
Ensure you check divisibility by 2, 7, and 17.
Divisibility Rule of 238 Examples
Problem 1
Is 714 divisible by 238?
Yes, 714 is divisible by 238.
Explanation
To check the divisibility of 714 by 238, we can perform a direct division.
1) Divide 714 by 238, which results in 714 ÷ 238 = 3.
2) Since the division results in a whole number, 714 is divisible by 238.
Problem 2
Check the divisibility rule of 238 for 1428.
Yes, 1428 is divisible by 238.
Explanation
To check if 1428 is divisible by 238, we proceed with division:
1) Divide 1428 by 238, which results in 1428 ÷ 238 = 6.
2) The division results in a whole number, confirming that 1428 is divisible by 238.
Problem 3
Is 476 divisible by 238?
Yes, 476 is divisible by 238.
Explanation
To verify if 476 is divisible by 238, perform the division:
1) Divide 476 by 238, resulting in 476 ÷ 238 = 2.
2) The division gives us a whole number, meaning 476 is divisible by 238.
Problem 4
Can 950 be divisible by 238 following the divisibility rule?
No, 950 isn't divisible by 238.
Explanation
To check if 950 is divisible by 238, use division:
1) Divide 950 by 238, which results in 950 ÷ 238 ≈ 3.9916.
2) Since the result is not a whole number, 950 is not divisible by 238.
Problem 5
Check the divisibility rule of 238 for 1904.
Yes, 1904 is divisible by 238.
Explanation
To check the divisibility of 1904 by 238, use division:
1) Divide 1904 by 238, resulting in 1904 ÷ 238 = 8.
2) As the division results in a whole number, 1904 is divisible by 238.
FAQs on Divisibility Rule of 238
1.What is the divisibility rule for 238?
2.How many numbers between 1 and 1000 are divisible by 238?
3.Is 714 divisible by 238?
4. What if I get a remainder in any step?
5.Does the divisibility rule of 238 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 238?
7.What are some fun ways kids in United States can practice Divisibility Rule of 238 with numbers?
8.What role do numbers and Divisibility Rule of 238 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 238 skills?
Important Glossaries for Divisibility Rule of 238
- Divisibility rule: A set of rules used to determine if a number is divisible by another without direct division.
- Prime factors: Prime numbers that multiply together to give the original number (e.g., 2, 7, and 17 are prime factors of 238).
- Integer: A whole number that can be positive, negative, or zero.
- Factorization: The process of breaking down a number into its prime factors.
- Remainder: The amount left over after division when a number does not divide evenly.
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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.
Fun Fact
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