Divisibility Rule of 741

The divisibility rule for 741 is a method by which we can find out if a number is divisible by 741 or not without using the division method.

Check whether 1482 is divisible by 741 using the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 1482, 2 is the last digit. Multiply it by 2: 2 × 2 = 4.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit, i.e., 148 – 4 = 144.

Step 3: Since 144 is not a multiple of 741, the number is not divisible by 741. If the result from step 2 were a multiple of 741, then the number would be divisible by 741.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 741.

• Know the multiples of 741: Memorize the multiples of 741 (741, 1482, 2223, 2964, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 741, then the number is divisible by 741.

• Use negative numbers: If the result we get after subtraction is negative, we will ignore the symbol and consider it positive for checking divisibility.

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number to check against 741.
  
   For example: Check if 5187 is divisible by 741 using the divisibility test.
  
  Multiply the last digit by 2, i.e., 7 × 2 = 14.
  
  Subtract the remaining digits excluding the last digit by 14, 518 – 14 = 504.Since 504 is not a multiple of 741, repeat the process.
  
  Multiply the last digit by 2, i.e., 4 × 2 = 8.Now subtract 8 from the remaining numbers excluding the last digit, 50–8 = 42.
  
  Since 42 is not a multiple of 741, 5187 is not divisible by 741.

• 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: A 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 digit.

• Multiples: The results we get after multiplying a number by an integer. For example, multiples of 741 are 741, 1482, 2223, etc.

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

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

• Verification: The process of confirming the accuracy of a result, such as using division to check divisibility.