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.

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.

• 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.