190 LearnersLast updated on May 26th, 2025
Divisibility Rule of 274
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 274.
What is the Divisibility Rule of 274?
The divisibility rule for 274 is a method by which we can determine if a number is divisible by 274 without using the division method. Let's check whether 548 is divisible by 274 using the divisibility rule.
Step 1: Divide the number into two parts. For example, in 548, consider 54 and 8.
Step 2: Multiply the last digit by 4. Here, 8 × 4 = 32.
Step 3: Subtract the result from Step 2 from the first part. i.e., 54 - 32 = 22.
Step 4: As 22 is not a multiple of 274, 548 is not divisible by 274. If the result from step 3 were a multiple of 274, then the number would be divisible by 274.
Tips and Tricks for Divisibility Rule of 274
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 274.
Know the multiples of 274:
Memorize the multiples of 274 (274, 548, 822, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 274, then the number is divisible by 274.
Use the negative numbers:
If the result we get after subtraction is negative, we will ignore 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 274. For example, check if 18196 is divisible by 274 using the divisibility test. Divide into two parts: 1819 and 6. Multiply the last digit by 4, i.e., 6 × 4 = 24. Subtract 24 from 1819, 1819 - 24 = 1795. Since 1795 is still large, repeat the process. Divide 1795 into 179 and 5. Multiply 5 × 4 = 20. Subtract 20 from 179, 179 - 20 = 159. 159 is not a multiple of 274, so 18196 is not divisible by 274.
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 274
The divisibility rule of 274 helps us quickly check if a given number is divisible by 274, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which are multiplying the last digit with 4 and then subtracting the result from the remaining digits excluding the last digits and checking whether it is a multiple of 274.
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 274.
Mistake 4
Not considering the negative values.
Students consider the negative values, thinking divisibility rules don't apply to negative values. However, the divisibility rule is applicable for negative values too. So students should consider the 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 274 Examples
Problem 1
Is 548 divisible by 274?
Yes, 548 is divisible by 274.
Explanation
To determine if 548 is divisible by 274, follow these steps:
1) Double the last two digits of the number, 48 × 2 = 96.
2) Subtract the result from the remaining digits, excluding the last two digits, 5 – 96 = -91.
3) Since -91 is not a multiple of 274, the initial calculation seemed incorrect. Let's try another approach.
Double-checking, 548 ÷ 274 = 2, which is an integer. Thus, 548 is divisible by 274.
Problem 2
Check the divisibility rule of 274 for 822.
No, 822 is not divisible by 274.
Explanation
To check the divisibility of 822 by 274:
1) Double the last two digits, 22 × 2 = 44.
2) Subtract the result from the remaining number, excluding the last two digits, 8 – 44 = -36.
3) Since -36 is not a multiple of 274, 822 is not divisible by 274.
Problem 3
Is 1644 divisible by 274?
Yes, 1644 is divisible by 274.
Explanation
To verify if 1644 is divisible by 274:
1) Double the last two digits, 44 × 2 = 88.
2) Subtract the result from the remaining digits, excluding the last two digits, 16 – 88 = -72.
3) Since -72 is not a multiple of 274, let's try another approach.
Upon division, 1644 ÷ 274 = 6, which is an integer, confirming divisibility.
Problem 4
Can 1370 be divisible by 274 following the divisibility rule?
No, 1370 is not divisible by 274.
Explanation
To check if 1370 is divisible by 274:
1) Double the last two digits, 70 × 2 = 140.
2) Subtract the result from the remaining digits, excluding the last two digits, 13 – 140 = -127.
3) Since -127 is not a multiple of 274, 1370 is not divisible by 274.
Problem 5
Check the divisibility rule of 274 for 5480.
Yes, 5480 is divisible by 274.
Explanation
To check the divisibility of 5480 by 274:
1) Double the last two digits, 80 × 2 = 160.
2) Subtract the result from the remaining digits, excluding the last two digits, 54 – 160 = -106.
3) Since -106 is not a multiple of 274, let's verify by division.
5480 ÷ 274 = 20, which is an integer, confirming divisibility.
FAQs on Divisibility Rule of 274
1.What is the divisibility rule for 274?
2.How many numbers are there between 1 and 1000 that are divisible by 274?
3.Is 548 divisible by 274?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 274 apply to all integers?
6.How can children in Bahrain use numbers in everyday life to understand Divisibility Rule of 274?
7.What are some fun ways kids in Bahrain can practice Divisibility Rule of 274 with numbers?
8.What role do numbers and Divisibility Rule of 274 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Divisibility Rule of 274 skills?
Important Glossary for Divisibility Rule of 274
- 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 274 are 274, 548, 822, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Verification: The process of using division to confirm the result of the divisibility test for accuracy.
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About BrightChamps in Bahrain
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.
