Divisibility Rule of 527

The divisibility rule for 527 is a method by which we can find out if a number is divisible by 527 without using the division method. Check whether 1054 is divisible by 527 with the divisibility rule.

Step 1: Multiply the last two digits of the number by 2. In 1054, 54 is the last two digits, so multiply it by 2. 54 × 2 = 108.

Step 2: Subtract the result from Step 1 from the remaining digits but do not include the last two digits. i.e., 10 - 108 = -98.

Step 3: Since -98 is not a multiple of 527, the number is not divisible by 527. If the result from Step 2 is a multiple of 527, then the number is divisible by 527.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 527.

Know the multiples of 527:

Memorize the multiples of 527 (527, 1054, 1581, ...etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 527, then the number is divisible by 527.

Use the negative numbers:

If the result we get after subtraction is negative, we will consider its absolute value 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 527. For example, check if 6329 is divisible by 527 using the divisibility test. Multiply the last two digits by 2, i.e., 29 × 2 = 58. Subtract the remaining digits excluding the last two digits by 58, 63 - 58 = 5. Since 5 is not a multiple of 527, 6329 is not divisible by 527.

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 determine whether a number is divisible by another number or not. 

• Multiples: Multiples are the results obtained after multiplying a number by an integer. For example, multiples of 527 are 527, 1054, 1581, etc.

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

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

• Absolute value: The non-negative value of a number without regard to its sign. For example, the absolute value of -98 is 98.