Divisibility Rule of 506

The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 506.

What is the Divisibility Rule of 506?

The divisibility rule for 506 is a method by which we can find out if a number is divisible by 506 or not without using the division method. Check whether 1012 is divisible by 506 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2. Here in 1012, 2 is the last digit; multiply it by 2. 2 × 2 = 4.

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 101–4=97.

Step 3: 97 is not a multiple of 506, so 1012 is not divisible by 506. If the result from Step 2 had been a multiple of 506, then the number would have been divisible by 506.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 506.

Know the multiples of 506: Memorize the multiples of 506 (506, 1012, 1518, 2024, 2530…etc.) to quickly check for divisibility. If the result from the subtraction is a multiple of 506, then the number is divisible by 506.

Use negative numbers: If the result we get after the subtraction is negative, we will ignore the symbol and consider it as positive for checking the divisibility of a number.

Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 506. For example, check if 3036 is divisible by 506 using the divisibility test. Multiply the last digit by 2, i.e., 6 × 2 = 12. Subtract the remaining digits excluding the last digit by 12, 303–12=291. Still, 291 is a large number, so we will repeat the process: multiply the last digit by 2, 1 × 2 = 2. Now subtract 2 from the remaining numbers excluding the last digit, 29–2=27. As 27 is not a multiple of 506, 3036 is not divisible by 506.

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 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.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 506 are 506, 1012, 1518, 2024, etc.

• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.

• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.

• Verification: Verification is the process of confirming the correctness of something, such as using division to confirm if a number is divisible by another.