The Divisibility Rule of 456

The divisibility rule for 456 is a method by which we can find out if a number is divisible by 456 or not without using the division method. Check whether 912 is divisible by 456 with the divisibility rule.

Step 1: Check if the number is divisible by 3. Add the digits of the number, and if the sum is divisible by 3, then the number passes this step. In 912, 9 + 1 + 2 = 12, and 12 is divisible by 3.

Step 2: Check if the number is divisible by 8. Look at the last three digits of the number. If these three digits form a number divisible by 8, then the number passes this step. In 912, the last three digits are 912, and 912 ÷ 8 = 114, which is a whole number.

If a number passes both checks, it is divisible by 456.

Learning the divisibility rule will help kids master division. Let's learn a few tips and tricks for the divisibility rule of 456.

• Know the multiples of 456: Memorize the multiples of 456 (456, 912, 1368, 1824…etc.) to quickly check divisibility. If the result from the checks is a multiple of 456, then the number is divisible by 456.
   
• Use the known divisibility rules: Use the divisibility rules for 3 and 8 separately as a quick check to determine divisibility by 456.
   
• Practice with large numbers: Practice checking large numbers by ensuring they pass both divisibility tests for 3 and 8.
   
• 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: The set of rules used to find out whether a number is divisible by another number, such as checking for divisibility by 3 and 8 for 456.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 456 are 456, 912, 1368, etc.
   
• Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
   
• Addition: Addition is the process of finding the total sum of two or more numbers, used here to check divisibility by 3.
   
• Last three digits: The last three digits of a number are crucial for checking divisibility by 8.