Claims:In this new unique method for divisibility rule of 17, using the first digit of the number to multiply by 2. This method is useful in computation. This method of computation can be worked with more than two-digit numbers for identifying the divisibility of 17. After trying on more than a thousand numbers of examples it is concluded that this new method will give exactly 100% correct result. This new method has to be considered good because it is using the first digit to multiply with 2. In the existing method person has to multiply by 5 which is little difficult then multiply by 2 as it is easy and possibility of calculation mistake manually is lesser. Also in binary computation 2 is represented by 2 bit that is 01. While the existing method multiplies the last digit by 5 which is a 3-bit representation 101. So this new unique method is efficient with respect to space complexity as well as fast in computation as taking fewer bits in the calculation. , Description:In mathematics, there are arithmetic operations that focus on the study of numbers. There are four elementary arithmetic operations such as Addition, Subtraction, Multiplication, and Division[4]. As the focus is concentrated on the study of numbers, each operation is performed in between some numbers which are useful for our application purpose. The division is the fourth elementary operation which means to divide or split the object into equal parts[3]. The division is inverse of the Multiplication operation. Divisibility Rule is a method to determine whether a given number is divisible by a divisor without performing the division. Only by examining the digits of the number and their basic rules. Divisibility Rules are present for all real numbers. With the help of those rules[2], we can easily identify for a particular number is divisible to a specific number or not. In the Rule generally, a user has to follow certain steps to find the result. A number is divisible by 17 if, the first digit of the number is multiplied by two and that subtracted from the second and third digit of the number by keeping all other digits unchanged and continue doing this until only two-digit remains. If that result is divisible by 17 then the number is divisible by 17 otherwise the number is not divisible by 17.