Divisibility Rule of 510

The divisibility rule for 510 is a method by which we can find out if a number is divisible by 510 or not without using the division method. Check whether 3060 is divisible by 510 using the divisibility rule.

Step 1: Check divisibility by 2, 3, and 5, since 510 = 2 × 3 × 5 × 17. 
The number should end with an even digit for divisibility by 2.
The sum of the digits should be divisible by 3.
The number should end with a 0 or 5 for divisibility by 5.

Step 2: Confirm divisibility by 17. 
Divide the number by 17 and check if the result is an integer.

Step 3: If the number passes all the above checks, it is divisible by 510.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 510.

Know the multiples of 510: Memorize multiples of 510 to quickly check divisibility. If the result from the division is an integer, then the number is divisible by 510.

Use negative numbers for verification: If the result we get after subtraction or division is negative, consider it as positive for checking the divisibility of a number.

Break it down: Since 510 is a product of several factors, check divisibility using smaller factors first (2, 3, and 5) before checking with 17.

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 or not.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 510 are 510, 1020, 1530, etc.

• Factors: Numbers that evenly divide another number. For 510, factors include 2, 3, 5, and 17.

• Integer: Whole numbers that include positive, negative numbers, and zero.

• Verification: The process of confirming the accuracy of a calculation or result, often by using a different method.