Divisibility Rule of 982

The divisibility rule for 982 is a method by which we can find out if a number is divisible by 982 or not without using the division method. Check whether 2946 is divisible by 982 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 2946, 6 is the last digit. Multiply it by 2. 6 × 2 = 12.

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit, i.e., 294–12 = 282.

Step 3: As it is shown that 282 is not a multiple of 982, therefore, the number is not divisible by 982. If the result from step 2 is a multiple of 982, then the number is divisible by 982.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for divisibility rule of 982.

Know the multiples of 982:

Memorize the multiples of 982 (982, 1964, 2946…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 982, then the number is divisible by 982.

Use the negative numbers:

If the result we get after the subtraction is negative, we will 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 982. For example, check if 9820 is divisible by 982 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0. Subtract the remaining digits excluding the last digit by 0, 982–0 = 982. As 982 is a multiple of 982, 9820 is divisible by 982.

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 afterultiplying a number by an integer. For example, multiples of 982 are 982, 1964, 2946, 3928, 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 confirming that a calculation or result is correct, often using a different method.