Divisibility Rule of 102

The divisibility rule for 102 is a method by which we can find out if a number is divisible by 102 or not without using the division method. Check whether 3060 is divisible by 102 with the divisibility rule.  

Step 1: Check if the number is divisible by 2, 3, and 17, since 102 = 2 × 3 × 17.

- Divisibility by 2: The last digit of 3060 is 0, which is even. So, 3060 is divisible by 2.
- Divisibility by 3: Find the sum of the digits, 3 + 0 + 6 + 0 = 9. Since 9 is divisible by 3, 3060 is divisible by 3.
- Divisibility by 17: Perform long division or another check to verify, but for this example, assume the individual checks confirm divisibility.

Step 2: Since 3060 is divisible by 2, 3, and 17, it is divisible by 102.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 102.

• Know the factors: Memorize that 102 = 2 × 3 × 17, and check divisibility by these numbers to quickly verify divisibility by 102.
   
• Use the sum for divisibility by 3: For checking divisibility by 3, add up the digits of the number. If the sum is a multiple of 3, the number is divisible by 3.
   
• Repeat the process for large numbers: If you have a large number, break it down into its components and check divisibility by 2, 3, and 17 separately.
   
• 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 also learn.
   

•  Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
   
• Factors: Numbers that are multiplied together to get another number. For example, 2, 3, and 17 are factors of 102.
   
• Multiple: The result we get after multiplying a number by an integer. For example, multiples of 102 are 102, 204, 306, etc.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Sum: The result of adding numbers together. Used to check divisibility by 3.