Divisibility Rule of 486

The divisibility rule for 486 is a method by which we can find out if a number is divisible by 486 or not without using the division method. Check whether 972 is divisible by 486 with the divisibility rule.
 

Step 1: Check if the number is divisible by 2, 3, and 81 (since 486 = 2 × 3^5).
 

Step 2: The number should be even (divisible by 2).
 

Step 3: Sum the digits of the number and check if the sum is divisible by 3.
 

Step 4: Check if the number is divisible by 81 by dividing the last two digits by 81.
 

As it is shown that 972 meets all the criteria, it is divisible by 486.
 

Understanding the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 486.
 

• Know the multiples of 486: Memorize the multiples of 486 (486, 972, 1458, etc.) to quickly check divisibility.
   
• Check divisibility by 2 and 3: Ensure the number is even and the sum of its digits is divisible by 3.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 486.
   
• 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 to verify and learn.
   

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
   
• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 486 are 486, 972, 1458, etc.
   
• Factors: Numbers that can be multiplied together to get another number. For example, factors of 486 are 2, 3, and 81.
   
• Even number: A number that is divisible by 2.
   
• Sum of digits: The total obtained by adding all the digits of a number. For divisibility by 3, the sum of the digits should be divisible by 3.