Divisibility Rule of 547

The divisibility rule for 547 is a method by which we can find out if a number is divisible by 547 or not without using the division method.

Check whether 1094 is divisible by 547 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 1094, 4 is the last digit. Multiply it by 2. 4 × 2 = 8.

Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 109–8 = 101.

Step 3: As it is shown that 101 is not a multiple of 547, therefore, the number is not divisible by 547. If the result from step 2 were a multiple of 547, then the number would be divisible by 547.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 547.

• Know the multiples of 547: Memorize the multiples of 547 (547, 1094, 1641…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 547, then the number is divisible by 547.
   
• Use the negative numbers: If the result we get after the subtraction is negative, we will avoid 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 547. For example, check if 1641 is divisible by 547 using the divisibility test. Multiply the last digit by 2, i.e., 1 × 2 = 2. Subtract the remaining digits excluding the last digit by 2, 164–2 = 162. Since 162 is not a multiple of 547, 1641 is not divisible by 547.
   
• 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. For example, a number is divisible by 2 if the number ends with even numbers.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 547 are 547, 1094, 1641, 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.
   
• Verify: To confirm the accuracy of something, such as the result of a mathematical process, with an additional method.