168 LearnersLast updated on May 26th, 2025
Divisibility Rule of 278
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 278.
What is the Divisibility Rule of 278?
The divisibility rule for 278 is a method by which we can find out if a number is divisible by 278 or not without using the division method. Check whether 556 is divisible by 278 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2. Here, in 556, 6 is the last digit; multiply it by 2. 6 × 2 = 12.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 55 - 12 = 43.
Step 3: Since 43 is not a multiple of 278, the number is not divisible by 278. If the result from Step 2 is a multiple of 278, then the number is divisible by 278.
Tips and Tricks for Divisibility Rule of 278
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 278.
Know the multiples of 278:
Memorize the multiples of 278 (278, 556, 834, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 278, then the number is divisible by 278.
Use the negative numbers:
If the result we get after the subtraction is negative, we avoid the symbol and consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 278.
For example, check if 1958 is divisible by 278 using the divisibility test.
Multiply the last digit by 2, i.e., 8 × 2 = 16.
Subtract the remaining digits excluding the last digit by 16, 195 - 16 = 179.
Since 179 is not a multiple of 278, 1958 is not divisible by 278.
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 and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 278
The divisibility rule of 278 helps us quickly check if the given number is divisible by 278, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: multiply the last digit by 2 and then subtract the result from the remaining digits excluding the last digit, checking whether it is a multiple of 278.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number as a result of subtraction. The process should be repeated until we get the smallest number that is divisible by 278.
Mistake 4
Not considering the negative values.
Students consider the negative values, thinking divisibility rules don't apply to negative values. But the divisibility rule is applicable for negative values too. So students should consider negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid this error, students should practice regularly.
Divisibility Rule of 278 Examples
Problem 1
Is 556 divisible by 278?
Yes, 556 is divisible by 278.
Explanation
To verify divisibility by 278:
1) Double the last two digits of the number, 56 × 2 = 112.
2) Subtract the result from the remaining digits, excluding the last two digits, 5 - 112 = -107.
3) Since -107 is not zero, 556 is divisible by 278 (278 × 2 = 556).
Problem 2
Check the divisibility rule of 278 for 834.
No, 834 is not divisible by 278.
Explanation
To check divisibility by 278 for 834:
1) Double the last two digits, 34 × 2 = 68.
2) Subtract the result from the remaining digits, excluding the last two digits, 8 - 68 = -60.
3) Since -60 is not zero, 834 is not divisible by 278.
Problem 3
Is -278 divisible by 278?
Yes, -278 is divisible by 278.
Explanation
To check divisibility of -278 by 278:
1) Remove the negative sign.
2) Since 278 is exactly 278, it is divisible by 278 (278 x 1 = 278).
Problem 4
Can 1112 be divisible by 278 following the divisibility rule?
No, 1112 is not divisible by 278.
Explanation
To verify divisibility by 278:
1) Double the last two digits, 12 × 2 = 24.
2) Subtract the result from the remaining digits, excluding the last two digits, 11 - 24 = -13.
3) Since -13 is not zero, 1112 is not divisible by 278.
Problem 5
Check the divisibility rule of 278 for 2780
Yes, 2780 is divisible by 278.
Explanation
To check divisibility by 278:
1) Double the last two digits, 80 × 2 = 160.
2) Subtract the result from the remaining digits, excluding the last two digits, 27 - 160 = -133.
3) Since -133 is not zero, the original number was not correctly divisible by 278. Let's recheck:
4) 278 × 10 = 2780, confirming 2780 is divisible by 278.
FAQs on Divisibility Rule of 278
1.What is the divisibility rule for 278?
2.How many numbers are there between 1 and 1000 that are divisible by 278?
3.Is 556 divisible by 278?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 278 apply to all integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 278?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 278 with numbers?
8.What role do numbers and Divisibility Rule of 278 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 278 skills?
Important Glossaries for Divisibility Rule of 278
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 278 are 278, 556, 834, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of cross-checking results using an alternative method, such as division, to ensure accuracy.
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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.
