Divisibility Rule of 826

The divisibility rule for 826 is a method by which we can find out if a number is divisible by 826 or not without using the division method. Check whether 4956 is divisible by 826 with the divisibility rule.

Step 1: Divide the last three digits by 826 and note the remainder, here in 4956, 956 is the last three digits. 956 ÷ 826 gives a remainder of 130.

Step 2: Subtract the remainder from Step 1 from the remaining values but do not include the last three digits. i.e., 4 - 130 = -126.

Step 3: Since -126 is not a multiple of 826, the number is not divisible by 826. If the result from step 2 is a multiple of 826, then the number is divisible by 826.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 826.

Know the multiples of 826:

Memorize the multiples of 826 (826, 1652, 2478, 3304, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 826, then the number is divisible by 826.

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 826. For example: Check if 206952 is divisible by 826 using the divisibility test. Divide the last three digits by 826, i.e., 952 ÷ 826 gives a remainder of 126. Subtract the remaining digits excluding the last three digits by 126, 206 - 126 = 80. Still, 80 is a small number, and since it is not a multiple of 826, 206952 is not divisible by 826.

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 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 even numbers.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 826 are 826, 1652, 2478, 3304, etc.
   
• Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
   
• Remainder: The remainder is what is left after dividing one number by another.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.