Divisibility Rule of 521

The divisibility rule for 521 is a method by which we can find out if a number is divisible by 521 or not without using the division method. Check whether 1563 is divisible by 521 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2. In 1563, the last digit is 3, so multiply it by 2. 3 × 2 = 6.

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 156 - 6 = 150.

Step 3: Divide the result from Step 2 by 521. If it divides evenly, the number is divisible by 521. In this case, 150 is not divisible evenly by 521, so 1563 is not divisible by 521.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 521.

Know the multiples of 521:

Memorize the multiples of 521 (521, 1042, 1563, 2084, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 521, then the number is divisible by 521.

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 determine whether a number is divisible by another number without performing division.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 521 are 521, 1042, 1563, etc.

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

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

• Verification: The process of confirming results using another method, such as division, to ensure accuracy.