Divisibility Rule of 468

The divisibility rule for 468 is a method by which we can find out if a number is divisible by 468 or not without using the division method. Check whether 936 is divisible by 468 with the divisibility rule.  

Step 1: Divide the number by 468. If the result is a whole number, then the original number is divisible by 468. In this case, 936 ÷ 468 = 2, which is an integer.  

Step 2: Therefore, 936 is divisible by 468.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 468.  

• Know the factors of 468: 468 = 2 × 2 × 3 × 3 × 13. A number must be divisible by each of these factors for it to be divisible by 468.  

• Use the factorization method: By checking divisibility by 2, 3, and 13, you can quickly determine if a number is divisible by 468.  

• Repeat the process for large numbers: Students should keep checking divisibility by each factor until they reach a conclusion.
   
  For example: Check if 5616 is divisible by 468 using factors.  Step 1: Check divisibility by 2 (last digit even: 6), by 3 (sum of digits 5+6+1+6=18, divisible by 3), and by 13 (5616 ÷ 13 = 432, which is an integer).  Step 2: 5616 is divisible by 468 because it passes all factor checks. 

• 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 verify and also learn.

• Divisibility rule: A set of rules used to find out whether a number is divisible by another without performing division.

• Factors: Numbers that multiply together to give another number. For 468, the factors are 2, 3, and 13.

• Integer: A whole number that can be positive, negative, or zero.

• Factorization: The process of breaking down a number into its factors.

• Division: The process of determining how many times one number is contained within another.