Divisibility Rule of 162

The divisibility rule for 162 is a method by which we can find out if a number is divisible by 162 without using the division method. Let's check whether 2916 is divisible by 162 using the divisibility rule.
 

Step 1: Check if the number is divisible by 2, 3, and 9. A number is divisible by 162 if it is divisible by 2, 3, and 9.

For divisibility by 2, the last digit of the number should be even. Here, 6 is even.

For divisibility by 3, the sum of the digits should be a multiple of 3. Here, 2 + 9 + 1 + 6 = 18, and 18 is a multiple of 3.

For divisibility by 9, the sum of the digits should be a multiple of 9. Here, 18 is a multiple of 9.
 

Step 2: Since 2916 satisfies all three conditions, it is divisible by 162.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 162.
 

• Know the multiples of 162: Memorize the multiples of 162 (162, 324, 486, 648, etc.) to quickly check divisibility. If the result from the checks is a multiple of 162, then the number is divisible by 162.
   
• Check divisibility by 2, 3, and 9: Ensure the number meets all three conditions for divisibility by 2, 3, and 9 to confirm divisibility by 162.
   
• Use the division method to verify: Students can use the division method to verify and cross-check their results. This will help them verify their work and also learn.
   

• Divisibility Rule: The set of rules used to determine whether a number is divisible by another number without performing division.
   
• Multiple: A multiple is the result of multiplying a number by an integer. For example, multiples of 162 are 162, 324, 486, etc.
   
• Even Number: A number divisible by 2. For example, 4, 6, and 8 are even numbers.
   
• Sum of Digits: The total obtained by adding all the digits of a number. For example, the sum of the digits of 2916 is 2 + 9 + 1 + 6 = 18.
   
• Integer: Whole numbers including positive, negative numbers, and zero.