Divisibility Rule of 874

The divisibility rule for 874 is a method by which we can find out if a number is divisible by 874 or not without using the division method. Check whether 5244 is divisible by 874 with the divisibility rule.

Step 1: Multiply the last digit of the number by 4, here in 5244, 4 is the last digit. Multiply it by 4. 4 × 4 = 16  

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 524–16 = 508.

Step 3: As it is shown that 508 is a multiple of 874, therefore, the number is divisible by 874. If the result from step 2 isn't a multiple of 874, then the number isn't divisible by 874.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 874.

Know the multiples of 874:

Memorize the multiples of 874 (874, 1748, 2622, 3496, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 874, then the number is divisible by 874.

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 874. For example: Check if 6992 is divisible by 874 using the divisibility test. Multiply the last digit by 4, i.e., 2 × 4 = 8. Subtract the remaining digits excluding the last digit by 8, 699–8 = 691. Still, 691 is a large number, hence we will repeat the process again and multiply the last digit by 4, 1 × 4 = 4. Now subtracting 4 from the remaining numbers excluding the last digit, 69–4 = 65. As 65 is not a multiple of 874, 6992 is not divisible by 874.

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 2 if the number ends with an even number.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 874 are 874, 1748, 2622, 3496, etc.
   
• Integers: Integers are numbers that include all 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 confirming the correctness of a mathematical result, often by using an alternative method such as division.