Divisibility Rule of 912

The divisibility rule for 912 is a method by which we can find out if a number is divisible by 912 or not without using the division method. Check whether 2736 is divisible by 912 with the divisibility rule.

Step 1: Check if the number is divisible by 9. Add all the digits of the number and see if the sum is divisible by 9. For 2736, the sum is 2+7+3+6=18, which is divisible by 9.

Step 2: Check if the number is divisible by 12. The number must be divisible by both 3 and 4. For divisibility by 3, the sum of the digits (18) must be divisible by 3, which it is. For divisibility by 4, the last two digits, 36, must be divisible by 4, which they are.

Since 2736 is divisible by both 9 and 12, it is also divisible by 912.

 

Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 912.

Know the multiples of 912:

Memorize the multiples of 912 (912, 1824, 2736, etc.) to quickly check divisibility. If the number is a multiple of 912, it is divisible by 912.

Use the properties of divisibility:

Ensure the number meets the criteria for divisibility by both 9 and 12, as described in the steps.

Repeat the process for large numbers:

Students should keep repeating the divisibility process by checking divisibility by 9 and 12 until they confirm the number's divisibility by 912. For example: Check if 5472 is divisible by 912 using the divisibility test. Add the digits: 5+4+7+2=18, which is divisible by 9. Check divisibility by 12: 18 is divisible by 3, and the last two digits 72 are divisible by 4. Therefore, 5472 is divisible by 912.

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: 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 after multiplying a number by an integer. For example, multiples of 912 are 912, 1824, 2736, etc.

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

• Addition: The process of calculating the total of two or more numbers or amounts.

• Divisibility: A property that determines if one number can be divided by another without a remainder.