Divisibility Rule of 454

The divisibility rule for 454 is a method by which we can find out if a number is divisible by 454 without using division. Check whether 908 is divisible by 454 using the divisibility rule.

Step 1: Double the last digit of the number, here in 908, 8 is the last digit, and double it. 8 × 2 = 16

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 90 - 16 = 74

Step 3: As it is shown that 74 is not a multiple of 454, therefore, the number is not divisible by 454. If the result from step 2 was a multiple of 454, then the number would be divisible by 454.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 454.

• Know the multiples of 454: Memorize the multiples of 454 (454, 908, 1362, 1816, ...etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 454, then the number is divisible by 454.
   
• Use absolute values:  If the result obtained after the subtraction is negative, consider its absolute value for checking the divisibility.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 454. 
  
  For example: Check if 1816 is divisible by 454 using the divisibility test. 
  
  Double the last digit, i.e., 6 × 2 = 12.  Subtract the remaining digits excluding the last digit from 12, 181 - 12 = 169. 
  
  Since 169 is not a multiple of 454, 1816 is not divisible by 454.
   
• 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: A set of rules used to determine whether a number is divisible by another number.
   
• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 454 are 454, 908, 1362, ...
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: A process of finding the difference between two numbers by reducing one number from another.
   
• Absolute value: The non-negative value of a number without regard to its sign.