Divisibility Rule of 213

The divisibility rule for 213 is a method by which we can determine if a number is divisible by 213 without using the division method. Check whether 639 is divisible by 213 using the divisibility rule.

Step 1: Triple the last digit of the number, here in 639, 9 is the last digit, so triple it. 9 × 3 = 27.

Step 2: Add the result from Step 1 to the remaining digits of the number (excluding the last digit). i.e., 63 + 27 = 90.

Step 3: As it is shown that 90 is not a multiple of 213, the number is not divisible by 213. If the result from Step 2 is a multiple of 213, then the number is divisible by 213.

Learning the divisibility rule will help kids master division. Let’s explore some tips and tricks for the divisibility rule of 213.

Know the multiples of 213:

Memorize the multiples of 213 (213, 426, 639, 852, etc.) to quickly check divisibility. If the result from the addition is a multiple of 213, then the number is divisible by 213.

Use the negative numbers:

If the result we get after the addition 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 213. For example, check if 852 is divisible by 213 using the divisibility test. Triple the last digit by 3, i.e., 2 × 3 = 6. Add this to the remaining digits excluding the last digit, 85 + 6 = 91. Since 91 is not a multiple of 213, 852 is not divisible by 213.

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: A set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends in an even number.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 213 are 213, 426, 639, 852, etc.

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

• Addition: Addition is the process of finding the total or sum by combining two numbers or more.

• Verification: Verification is the process of confirming the correctness of a result by cross-checking through a different method, such as the division method.