Divisibility Rule of 853

The divisibility rule for 853 is a method by which we can find out if a number is divisible by 853 without using the division method. Check whether 256059 is divisible by 853 with the divisibility rule.  

Step 1: Multiply the last digit of the number by 2, here in 256059, 9 is the last digit, so multiply it by 2. 9 × 2 = 18 

Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 25605 - 18 = 25587.

Step 3: Since 25587 is not a small number, repeat the process: multiply the last digit by 2, i.e., 7 × 2 = 14. Subtract 14 from the remaining numbers, 2558 - 14 = 2544.

Step 4: Continue this process until you reach a number that is clearly divisible by 853. If the result from step 3 is a multiple of 853, then the number is divisible by 853.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 853. 

Know the multiples of 853:

Memorize the multiples of 853 (853, 1706, 2559, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 853, then the number is divisible by 853.

Use the negative numbers:

If the result we get after subtraction is negative, we will ignore the symbol and consider it 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 853. 

For example: Check if 729059 is divisible by 853 using the divisibility test.

Multiply the last digit by 2, i.e., 9 × 2 = 18. Subtract the remaining digits excluding the last digit by 18, 72905 - 18 = 72887.

Continue the process to simplify the result further.

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 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 853 if it follows the specific steps outlined.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 853 are 853, 1706, 2559, etc.

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

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

• Verification: Verification is the process of confirming the accuracy of a result, such as using division to ensure a number is divisible by another.