Divisibility Rule of 971

The divisibility rule for 971 is a method by which we can find out if a number is divisible by 971 or not without using the division method. Check whether 185342 is divisible by 971 with the divisibility rule.

Step 1: Break down 971 into its prime factors, which are 7, 13, and 11. We will use these factors to check divisibility.

Step 2: To check if a number is divisible by 971, it must be divisible by 7, 13, and 11. Follow the divisibility rules for each of these numbers on 185342.

 For 7: Double the last digit and subtract it from the rest of the number. Repeat the process if necessary. 

 For 13: Subtract 9 times the last digit from the rest of the number. Repeat the process if necessary.

 For 11: Alternate subtracting and adding the digits of the number.

Step 3: If the number passes the divisibility test for 7, 13, and 11, it is divisible by 971. Otherwise, it is not.
 

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 971.

Know the multiples of 971:

Memorize the multiples of 971 (971, 1942, 2913...etc.) to quickly check divisibility. If the result from the tests is a multiple of 971, then the number is divisible by 971.

Use negative numbers:

If the result we get after subtraction is negative, consider it as positive for checking divisibility.

Repeat the process for large numbers:

Students should keep repeating the divisibility process for 7, 13, and 11 until they reach a small number that is divisible by them. For example, to check if 185342 is divisible by 971, apply the rules for 7, 13, and 11.

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 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 971 if it passes the tests for 7, 13, and 11.

• Prime factors: The prime numbers that multiply together to give the original number. For 971, these are 7, 13, and 11.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 971 are 971, 1942, 2913, 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.