Divisibility Rule of 536

The divisibility rule for 536 is a method by which we can find out if a number is divisible by 536 or not without using the division method. Check whether 1072 is divisible by 536 with the divisibility rule.

Step 1: Double the last three digits of the number, here in 1072, 072 is the last three digits. Double it: 072 × 2 = 144.

Step 2: Subtract the result from Step 1 from the rest of the number. In this case, subtract 144 from 1 (since there are no digits left before 072): 1 - 144 = -143.

Step 3: As the result is not zero or a multiple of 536, 1072 is not divisible by 536. If the result from step 2 were zero or a multiple of 536, then the number would be divisible by 536.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 536.

Know the multiples of 536:

Memorize the multiples of 536 (536, 1072, 1608, 2144, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 536, then the number is divisible by 536.

Use the negative numbers:

If the result we get after the subtraction is negative, we will take 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 536. For example, check if 3216 is divisible by 536 using the divisibility test. Double the last three digits, i.e., 216 × 2 = 432. Subtract 432 from 3, which leaves -429. Since -429 is not zero or a multiple of 536, we might investigate further for errors or confirm divisibility by long division.

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 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: The results we get after multiplying a number by an integer. For example, multiples of 536 are 536, 1072, 1608, etc.

• Absolute value: The non-negative value of a number without regard to its sign.

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

• Integer: A whole number that can be positive, negative, or zero.