Divisibility Rule of 742

The divisibility rule for 742 is a method by which we can find out if a number is divisible by 742 or not without using the division method
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Check whether 1484 is divisible by 742 with the divisibility rule.  

Step 1: Separate the number into chunks of three digits from right to left. Here, 1484 becomes 1,484.

Step 2: Subtract the first chunk from the second chunk, multiplying the first chunk by 2. That is, 2 × 1 = 2 and then 484 - 2 = 482.

Step 3: As it is not necessary for 482 to be a multiple of 742, the number is not divisible by 742. If the result from step 2 is a multiple of 742, then the number is divisible by 742.

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 742.

• Know the multiples of 742: Memorize the multiples of 742 (742, 1484, 2226, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 742, then the number is divisible by 742.

• Use the absolute value: If the result we get after the subtraction is negative, we will avoid the symbol and consider its absolute value for checking the divisibility.

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 742.
   
  For example: Check if 2226000 is divisible by 742 using the divisibility test.
  
  Separate into chunks: 2,226,000 becomes 2,226,000.  
  
  Subtract: 0 - (2 × 2,226) = -4,452.
   
  The absolute value of 4,452 is not a multiple of 742, hence the number is not divisible by 742.

• 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. 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 742 are 742, 1484, 2226, etc.

• Integers: Integers are the numbers that include all 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.

• Chunks: Chunks refer to the parts of a number into which it is separated for the purpose of applying a divisibility rule.