Divisibility Rule of 739

The divisibility rule for 739 is a method by which we can determine if a number is divisible by 739 without using the division method.

Check whether 1478 is divisible by 739 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2. Here in 1478, 8 is the last digit, so multiply it by 2: 8 × 2 = 16.

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. For instance, 147 – 16 = 131.

Step 3: As it is shown that 131 is not a multiple of 739, the number is not divisible by 739. If the result from Step 2 is a multiple of 739, then the number is divisible by 739.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 739.

• Know the multiples of 739: Memorize the multiples of 739 (739, 1478, 2217, 2956, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 739, then the number is divisible by 739.

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

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 739.
   
  For example: Check if 2958 is divisible by 739 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16. Subtract the remaining digits excluding the last digit by 16, 295 – 16 = 279.
   
  279 is still not small enough, so repeat the process: Multiply the last digit by 2, 9 × 2 = 18. Subtract from the remaining numbers excluding the last digit, 27 – 18 = 9.
  
  As 9 is not a multiple of 739, 2958 is not divisible by 739.

• Use the division method to verify: Students can use the division method 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: The results obtained after multiplying a number by an integer. For example, multiples of 739 are 739, 1478, 2217, 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.

• Division Method: A mathematical operation where a number is divided by another to find the quotient.