Divisibility Rule of 847

The divisibility rule for 847 is a method by which we can find out if a number is divisible by 847 or not without using the division method. Check whether 1694 is divisible by 847 with the divisibility rule.

Step 1: Multiply the last digit of the number by 2, here in 1694, 4 is the last digit, 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., 169–8 = 161.

Step 3: As 161 is not a multiple of 847, the number is not divisible by 847. If the result from step 2 were a multiple of 847, then the number would be divisible by 847.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 847.

Know the multiples of 847:  

Memorize the multiples of 847 (847, 1694, 2541, ...etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 847, then the number is divisible by 847.

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 847. For example, check if 3388 is divisible by 847 using the divisibility test. Multiply the last digit by 2, i.e., 8 × 2 = 16. Subtract the remaining digits excluding the last digit by 16, 338–16 = 322. Repeat the process: multiply the last digit by 2, 2 × 2 = 4. Subtract 4 from the remaining numbers excluding the last digit, 32–4 = 28. As 28 is not a multiple of 847, 3388 is not divisible by 847.

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.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 847 are 847, 1694, 2541, 3388, 4235.

• Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.

• Integer: Integers are the numbers that include all whole numbers, negative numbers, and zero.

• Verify: To confirm the result by using another method, such as division, to check for accuracy.