171 LearnersLast updated on May 26th, 2025
Divisibility Rule of 254
The divisibility rule is a way to determine 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 items. In this topic, we will learn about the divisibility rule of 254.
What is the Divisibility Rule of 254?
The divisibility rule for 254 is a method by which we can find out if a number is divisible by 254 without directly performing the division. Check whether 508 is divisible by 254 with the divisibility rule.
Step 1: Divide the number into two parts: the last three digits and the remaining digits. Here, for 508, as it has less than three digits, consider the whole number.
Step 2: Check if the last three digits (or the entire number if it's less than three digits) are divisible by 254.
Step 3: Since 508 is not divisible by 254, the number is not divisible by 254.
Tips and Tricks for Divisibility Rule of 254
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 254.
- Know the multiples of 254: Memorize the multiples of 254 (254, 508, 762, etc.) to quickly check the divisibility. If the number or the last three digits are a multiple of 254, then the number is divisible by 254.
- Use estimation: If the number is close to a known multiple of 254, use estimation to determine divisibility quickly.
- Repeat the process for large numbers: For numbers with more than three digits, focus on the last three digits and see if they are divisible by 254. For example, check if 1016 is divisible by 254 using the divisibility test. The last three digits are 016, which is less than 254. Therefore, 1016 is not divisible by 254.
- 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 verify their findings and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 254
The divisibility rule of 254 helps us quickly check if a given number is divisible by 254, but common mistakes like calculation errors can lead to incorrect conclusions. Here, we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking the correct digits.
Ensure that you are focusing on the last three digits of the number to determine divisibility by 254.
Mistake 2
Misunderstanding the rule.
Remember, the key is to check if the last three digits (or the whole number if less than three digits) are divisible by 254.
Mistake 3
Relying solely on estimation
While estimation is useful, always verify with the actual calculation to confirm divisibility.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them. Practice regularly to avoid this error.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
Divisibility Rule of 254 Examples
Problem 1
Is 762 divisible by 254?
Yes, 762 is divisible by 254.
Explanation
To check if 762 is divisible by 254, follow the steps:
1) Divide 762 by 254 to check the remainder.
2) 762 ÷ 254 = 3 with a remainder of 0.
3) Since the remainder is 0, 762 is divisible by 254.
Problem 2
Check the divisibility rule of 254 for 2032.
No, 2032 is not divisible by 254.
Explanation
To check if 2032 is divisible by 254:
1) Divide 2032 by 254.
2) 2032 ÷ 254 = 7 with a remainder of 210.
3) Since the remainder is not 0, 2032 is not divisible by 254.
Problem 3
Is -508 divisible by 254?
Yes, -508 is divisible by 254.
Explanation
To check if -508 is divisible by 254, ignore the negative sign and proceed with the division:
1) Divide 508 by 254.
2) 508 ÷ 254 = 2 with a remainder of 0.
3) Since the remainder is 0, -508 is divisible by 254.
Problem 4
Can 1270 be divisible by 254 following the divisibility rule?
No, 1270 isn't divisible by 254.
Explanation
To check if 1270 is divisible by 254:
1) Divide 1270 by 254.
2) 1270 ÷ 254 = 5 with a remainder of 0.
3) Since the remainder is 0, 1270 is divisible by 254.
Problem 5
Check the divisibility rule of 254 for 1524.
Yes, 1524 is divisible by 254.
Explanation
To check if 1524 is divisible by 254:
1) Divide 1524 by 254.
2) 1524 ÷ 254 = 6 with a remainder of 0.
3) Since the remainder is 0, 1524 is divisible by 254.
FAQs on Divisibility Rule of 254
1.What is the divisibility rule for 254?
2.How many numbers between 1 and 1000 are divisible by 254?
3.Is 762 divisible by 254?
4.What if the last three digits are zero?
5.Does the divisibility rule of 254 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 254?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 254 with numbers?
8.What role do numbers and Divisibility Rule of 254 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 254 skills?
Important Glossaries for Divisibility Rule of 254
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 254 are 254, 508, 762, etc.
- Estimation: A technique to approximate a number, often used to simplify complex calculations.
- Integers: Integers include all whole numbers, negative numbers, and zero.
- Verification: The process of confirming the accuracy of a result, often using an alternative method such as division.
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About BrightChamps in Qatar
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.
