Divisibility Rule of 972

The divisibility rule for 972 is a method by which we can find out if a number is divisible by 972 or not without using the division method. Check whether 58320 is divisible by 972 with the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 9. A number is divisible by 972 if it is divisible by all three of these numbers.

Step 2: For divisibility by 2, the last digit must be even. In 58320, 0 is even.

Step 3: For divisibility by 3, the sum of the digits must be divisible by 3. Sum of digits: 5+8+3+2+0=18, and 18 is divisible by 3.

Step 4: For divisibility by 9, the sum of the digits must be divisible by 9. The sum of digits is 18, and 18 is divisible by 9.

Since 58320 is divisible by 2, 3, and 9, it is divisible by 972.
 

Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 972.

Know the multiples of 972:

Memorize the multiples of 972 (972, 1944, 2916, 3888, etc.) to quickly check divisibility. If the number is a multiple of 972, it is divisible by 972.

Use prime factorization:

Understand that 972 = 2^2 × 3^5. Verify each factor’s divisibility to confirm divisibility by 972.

Repeat the process for large numbers:

For large numbers, check divisibility by 2, 3, and 9 separately and repeat if necessary.

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 972 are 972, 1944, 2916, etc.

• Factorization: The process of breaking down a number into its constituent prime factors. For example, 972 = 2^2 × 3^5.

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

• Sum of digits: The total obtained by adding all the digits of a number, used in checking divisibility by 3 and 9.