Last updated on May 26th, 2025
The divisibility rule is a way to determine whether a number is divisible by another number without performing the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the 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.
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.
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.
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.
Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
The divisibility rule of 826 helps us to quickly check if a given number is divisible by 826, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Is 2478 divisible by 826?
Yes, 2478 is divisible by 826.
To check if 2478 is divisible by 826, we can divide the number directly since 826 is relatively large and does not have a simple divisibility rule like smaller numbers.
1) Divide 2478 by 826, which equals 3.
2) Since the division results in a whole number, 2478 is divisible by 826.
Check the divisibility rule of 826 for 8260.
Yes, 8260 is divisible by 826.
We check divisibility by dividing the number by 826.
1) Perform the division: 8260 ÷ 826 = 10.
2) The result is a whole number, so 8260 is divisible by 826.
Is -1652 divisible by 826?
Yes, -1652 is divisible by 826.
To check for divisibility with a negative number, we disregard the negative sign and check the positive counterpart.
1) Divide 1652 by 826, which equals 2.
2) The result is a whole number, so -1652 is divisible by 826
Can 4956 be divisible by 826 following the divisibility rule?
No, 4956 isn't divisible by 826.
To determine if 4956 is divisible by 826, divide the number by 826.
1) Perform the division: 4956 ÷ 826 = 6 with a remainder.
2) Since the result isn't a whole number, 4956 is not divisible by 826.
Check the divisibility rule of 826 for 16520.
Yes, 16520 is divisible by 826.
To check if 16520 is divisible by 826, we divide the number.
1) Divide 16520 by 826, which equals 20.
2) The division results in a whole number, so 16520 is divisible by 826.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.