Divisibility Rule of 743

The divisibility rule for 743 is a method by which we can find out if a number is divisible by 743 or not without using the division method.

Check whether 2229 is divisible by 743 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 2229, 9 is the last digit. Multiply it by 2. 9 × 2 = 18.  

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 222–18 = 204.  

Step 3: As it is shown that 204 is not a multiple of 743, therefore, the number is not divisible by 743. If the result from step 2 were a multiple of 743, then the number would be divisible by 743.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 743.

Know the multiples of 743:  

Memorize the multiples of 743 (743, 1486, 2229, ... etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 743, then the number is divisible by 743.

Use 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 743.  

For example: Check if 2972 is divisible by 743 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, 297–4 = 293.  

Since 293 is not a multiple of 743, 2972 is not divisible by 743.

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 an even number.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 743 are 743, 1486, 2229, 2972, 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.

• Verification: Verification is the process of confirming the accuracy of a result, such as using the division method to check if a number is divisible by another number.