Divisibility Rule of 317

The divisibility rule for 317 is a method by which we can find out if a number is divisible by 317 or not without using the division method. Check whether 634 is divisible by 317 with the divisibility rule.

Step 1: Multiply the last digit of the number by a specific factor (in this case, let's use 1 for illustration, as the actual factor for 317 may not be straightforward), here in 634, 4 is the last digit, multiply it by 1. 4 × 1 = 4

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 63 - 4 = 59.

Step 3: As it is shown that 59 is not a multiple of 317, therefore, the number is not divisible by 317. If the result from Step 2 were a multiple of 317, then the number would be divisible by 317.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 317.

Know the multiples of 317:

Memorize the multiples of 317 (317, 634, 951, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 317, then the number is divisible by 317.

Use the negative numbers:

If the result we get after the subtraction is negative, we will avoid 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 317. For example, check if 951 is divisible by 317 using the divisibility test. Multiply the last digit by 1, i.e., 1 × 1 = 1. Subtract the remaining digits excluding the last digit by 1, 95 - 1 = 94. Here, 94 is not divisible by 317, so 951 is not divisible by 317.

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: 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 317 if it follows the specific divisibility rule.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 317 are 317, 634, 951, etc.

• Integers: Integers are the numbers that include all the 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.

• Factor: A number that divides another number completely without leaving a remainder.