Divisibility Rule of 516

The divisibility rule for 516 is a method by which we can find out if a number is divisible by 516 or not without using the division method. Check whether 1548 is divisible by 516 with the divisibility rule.

Step 1: Check if the number is divisible by 2, 3, and 43. A number is divisible by 516 if it is divisible by these three factors (2, 3, and 43).

Step 2: For divisibility by 2, the last digit of the number should be even. In 1548, the last digit is 8, which is even, so it is divisible by 2.

Step 3: For divisibility by 3, the sum of the digits should be divisible by 3. The sum of the digits of 1548 is 1+5+4+8 = 18, which is divisible by 3.

Step 4: For divisibility by 43, divide the number by 43 and check for no remainder. 1548 divided by 43 is exactly 36 with no remainder, so it is divisible by 43.

Since 1548 is divisible by 2, 3, and 43, it is divisible by 516.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 516.

Know the multiples of 516: Memorize the multiples of 516 (516, 1032, 1548, etc.) to quickly check divisibility. If a number matches one of these multiples, it is divisible by 516.

Check divisibility by factors: To check divisibility by 516, ensure the number is divisible by 2, 3, and 43. Use the respective rules for each factor.

Combine steps for efficiency: Calculate divisibility by smaller factors (like 2 and 3) first, as they are easier to compute, then proceed to check divisibility by 43.

Use the division method to verify: Students can use the division method as a way to verify and cross-check their results, which 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. For example, a number is divisible by 2 if the number ends with an even digit.

• Factors: Numbers that divide another number exactly without leaving a remainder. For example, 2, 3, and 43 are factors of 516.

• Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 516 are 516, 1032, 1548, etc.

• Remainder: The amount left over after division when one number does not divide another exactly.

• Verification: The process of confirming or validating results, often using a secondary method such as direct division.