Divisibility Rule of 981

The divisibility rule for 981 is a method by which we can find out if a number is divisible by 981 or not without using the division method. Check whether 2943 is divisible by 981 with the divisibility rule.

Step 1: Break down 981 into smaller factors that are easier to handle. The factors of 981 are 3, 9, and 37. Check if the number is divisible by these factors.

Step 2: Check divisibility by 3. Add the digits of the number 2943: 2 + 9 + 4 + 3 = 18. Since 18 is divisible by 3, 2943 is divisible by 3.

Step 3: Check divisibility by 9. Sum the digits again: 2 + 9 + 4 + 3 = 18. Since 18 is divisible by 9, 2943 is divisible by 9.

Step 4: Check divisibility by 37. Use long division or a calculator to check if 2943 divided by 37 gives a whole number. If it does, then the number is divisible by 37.

Since 2943 is divisible by 3, 9, and 37, it is divisible by 981.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 981.

Know the factors of 981:

Memorize the factors of 981 (3, 9, 37) to quickly check divisibility. A number divisible by all these factors is divisible by 981.

Use divisibility rules for smaller factors:

Use the known divisibility rules for 3, 9, and 37 when checking numbers.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 981.

Use the division method to verify:

Students can use the division method 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.

• Factors: Numbers that divide another number exactly without leaving a remainder. For example, 3, 9, and 37 are factors of 981.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 981 are 981, 1962, 2943, etc.

• Integers: Whole numbers, including negative numbers and zero.