Divisibility Rule of 747

The divisibility rule for 747 is a method by which we can find out if a number is divisible by 747 or not without using the division method.

Check whether 1494 is divisible by 747 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 2, here in 1494, 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., 149–8 = 141.  

Step 3: As it is shown that 141 is not a multiple of 747, therefore, the number is not divisible by 747. If the result from step 2 isn't a multiple of 747, then the number isn't divisible by 747.

Knowing the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 747.  

Know the multiples of 747:  

Memorize the multiples of 747 (747, 1494, 2241, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 747, then the number is divisible by 747.  

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 747.  

For example: Check if 4482 is divisible by 747 using the divisibility test.  

Multiply the last digit by 2, i.e., 2 × 2 = 4.  

Subtract the remaining digits excluding the last digit by 4, 448–4 = 444.  

Still, 444 is a large number, hence we will repeat the process again and multiply the last digit by 2, 4 × 2 = 8.  

Now subtracting 8 from the remaining numbers excluding the last digit, 44–8 = 36.  

Since 36 is not a multiple of 747, 4482 is not divisible by 747.  

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.  

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 747 are 747, 1494, 2241, etc.  

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

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

• Verification: The process of checking the accuracy of a calculation, often by using an alternative method like division.