Divisibility Rule of 924

The divisibility rule for 924 is a method by which we can find out if a number is divisible by 924 or not without using the division method. Check whether 2772 is divisible by 924 with the divisibility rule.

Step 1: Check divisibility by 2. The last digit of 2772 is 2, which is even, so it is divisible by 2.

Step 2: Check divisibility by 3. Sum the digits: 2 + 7 + 7 + 2 = 18. Since 18 is divisible by 3, 2772 is also divisible by 3.

Step 3: Check divisibility by 11. Alternately subtract and add the digits: 2 - 7 + 7 - 2 = 0. Since 0 is divisible by 11, 2772 is also divisible by 11.

Step 4: Since 2772 is divisible by 2, 3, and 11, it is divisible by 924 (because 924 = 2 × 3 × 11 × 14).

Learning divisibility rules helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 924.

Know the factorization of 924:

Memorize that 924 = 2 × 3 × 11 × 14, so check divisibility by 2, 3, and 11.

Use divisibility shortcuts:

If a number is divisible by 2, 3, and 11, then it is divisible by 924.

Repeat the process for large numbers:

For large numbers, repeat the divisibility checks for 2, 3, and 11 separately to simplify calculations.

Use the division method to verify:

Students can use the division method to verify and cross-check their results. This helps them verify and also learn.
 

• Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
   
• Factorization: Breaking down a number into its prime factors. For example, 924 = 2 × 3 × 11 × 14.
   
• Multiple: A result obtained by multiplying a number by an integer. For example, multiples of 924 include 924, 1848, etc.
   
• Integer: Whole numbers that include positive and negative numbers and zero.
   
• Subtraction: A process of finding the difference between two numbers by reducing one from the other.