Divisibility Rule of 713

The divisibility rule for 713 is a method by which we can find out if a number is divisible by 713 without using the division method. Check whether 2139 is divisible by 713 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2. Here in 2139, 9 is the last digit, so multiply it by 2. 9 × 2 = 18.

Step 2: Subtract the result from Step 1 from the remaining digits, but do not include the last digit. i.e., 213–18 = 195.

Step 3: As 195 is not a multiple of 713, we repeat the process with 195. Multiply the last digit by 2, i.e., 5 × 2 = 10, and subtract from the remaining digits: 19–10 = 9.

Step 4: Since 9 is not a multiple of 713, the original number 2139 is not divisible by 713.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 713.

Know the multiples of 713:

Memorize the multiples of 713 (713, 1426, 2139, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 713, then the number is divisible by 713.

Use the negative numbers:

If the result we get after the subtraction is negative, we will ignore 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 713. For example: Check if 4278 is divisible by 713 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, 427–16 = 411. Since 411 is a large number, repeat the process. Multiply the last digit by 2, i.e., 1 × 2 = 2. Subtract from remaining numbers: 41–2 = 39. As 39 is not a multiple of 713, 4278 is not divisible by 713

Use the division method to verify:

Students can use the division method to verify and crosscheck their results. This will help them to verify and also learn.

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number without division.

• Multiples: Multiples are the results obtained by multiplying a number by an integer. For example, multiples of 713 are 713, 1426, 2139, etc.

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

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

• Verification: The process of confirming the accuracy of results, often by using an alternative method such as direct division to verify divisibility.