Divisibility Rule of 214

The divisibility rule for 214 is a method by which we can find out if a number is divisible by 214 or not without using the division method. Check whether 428 is divisible by 214 using the divisibility rule.

Step 1: Divide the number into groups of three digits from the right. Here in 428, it is already a group of three digits, so no need to divide further.

Step 2: Check if the number itself is 214 or a multiple of 214. If so, then it is divisible by 214. In this case, 428 is not a multiple of 214.

Step 3: If the number is not a multiple, add the digits of the number. For 428, 4 + 2 + 8 = 14.

Step 4: Check if the sum of the digits is a multiple of 214. If not, the number isn’t divisible by 214. Since 14 is not a multiple of 214, 428 is not divisible by 214.
 

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 214.

Know the multiples of 214:

Memorize the multiples of 214 (214, 428, 642, etc.) to quickly check divisibility. If the result from the process is a multiple of 214, the number is divisible by 214.

Use the digit sum:

If the sum of the digits is a multiple of 214, then the number is divisible by 214.

Repeat the process for large numbers:

Students should keep repeating the divisibility process by grouping digits and checking sums until they reach a small sum that is divisible by 214.

Use the division method to verify:

Students can use the division method as a way to verify and crosscheck 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: The results we get after multiplying a number by an integer. For example, multiples of 214 are 214, 428, 642, etc.

• Digit sum: The process of adding all the digits of a number.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.

• Verification: The process of checking the correctness of a result, such as using division to confirm divisibility.