Divisibility Rule of 958

The divisibility rule for 958 is a method by which we can find out if a number is divisible by 958 or not without using the division method. Check whether 2874 is divisible by 958 using the divisibility rule.

Step 1: Multiply the last digit of the number by 2. In 2874, 4 is the last digit, so multiply it by 2. 4 × 2 = 8
 

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 287–8 = 279.

Step 3: As it is shown that 279 is not a multiple of 958, therefore, the number is not divisible by 958. If the result from step 2 isn't a multiple of 958, then the number isn't divisible by 958.
 

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 958.
 

Know the multiples of 958:

Memorize the multiples of 958 (958, 1916, 2874, 3832…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 958, then the number is divisible by 958.

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 958.

For example: Check if 4790 is divisible by 958 using the divisibility test. Multiply the last digit by 2, i.e., 0 × 2 = 0.

Subtract the remaining digits excluding the last digit by 0, 479–0 = 479. Still, 479 is a large number, hence we will repeat the process again and multiply the last digit by 2, 9 × 2 = 18.
 

Now subtracting 18 from the remaining numbers excluding the last digit, 47–18 = 29. As 29 is not a multiple of 958, 4790 is not divisible by 958.

Use the division method to verify:

Students can use the division method as a way 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. For example, a number is divisible by 958 if the result after applying the rule is a multiple of 958.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 958 are 958, 1916, 2874, 3832, 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.
   
• Verification: The process of checking or proving the accuracy of the results obtained through a method or rule.