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.

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.

• 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.