Divisibility Rule of 453

The divisibility rule for 453 is a method by which we can find out if a number is divisible by 453 or not without using the division method. Check whether 906 is divisible by 453 with the divisibility rule.  

Step 1: Check if the number is divisible by 3. Add all the digits of the number. If the sum is divisible by 3, proceed to the next step. Here in 906, the sum of the digits is 9+0+6=15, which is divisible by 3.

Step 2: Check if the number is divisible by 151 (since 453 = 3 × 151). Divide the number by 151 and check if it is a whole number. 906 ÷ 151 = 6, which is a whole number.

Step 3: Since the number is divisible by both 3 and 151, it is divisible by 453.

Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 453.

• Know the multiples of 453: Memorize the multiples of 453 (453, 906, 1359, 1812, etc.) to quickly check divisibility. If the number is one of these, then it is divisible by 453.
   
• Use the divisibility rules for 3 and 151: Break down the process by checking divisibility by 3 first, then by 151. This makes the process simpler.
   
• Repeat the process for large numbers: For large numbers, use the breakdown method to check divisibility by smaller factors of 453, such as 3 and 151.
   
• Verify with the division method: Use the division method to verify and cross-check results, ensuring accuracy and understanding.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number without direct division.
   
• Multiples: Results obtained from multiplying a number by an integer. For example, multiples of 453 are 453, 906, 1359, etc.
   
• Factors: Numbers that divide another number exactly without leaving a remainder. For 453, the factors are 3 and 151.
   
• Remainder: The amount left after division when a number does not divide evenly.
   
• Integer: Numbers that include all whole numbers, negative numbers, and zero.