Divisibility Rule of 531

The divisibility rule for 531 is a method by which we can find out if a number is divisible by 531 or not without using the division method. Check whether 1593 is divisible by 531 with the divisibility rule.

Step 1: Multiply the last digit of the number by 3, here in 1593, 3 is the last digit. Multiply it by 3. 3 × 3 = 9

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 159–9 = 150.

Step 3: As it is shown that 150 is a multiple of 531, the number is divisible by 531. If the result from step 2 isn't a multiple of 531, then the number isn't divisible by 531.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 531.

Know the multiples of 531:

Memorize the multiples of 531 (531, 1062, 1593, 2124…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 531, then the number is divisible by 531.

Use negative numbers:

If the result we get after the subtraction is negative, we will avoid the sign 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 531. For example, check if 2655 is divisible by 531 using the divisibility test. Multiply the last digit by 3, i.e., 5 × 3 = 15. Subtract from the remaining digits excluding the last digit, 265–15 = 250. Still, 250 is a large number, hence we will repeat the process again and multiply the last digit by 3, 0 × 3 = 0. Now subtracting 0 from the remaining numbers excluding the last digit, 25–0 = 25. As 25 is not a multiple of 531, 2655 is not divisible by 531.

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. For example, a number is divisible by 2 if the number ends with an even number.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 531 are 531, 1062, 1593, 2124, etc.

• Integers: Integers are the numbers that include all the 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: The process of checking or proving the truth or accuracy of a result or calculation.