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116 LearnersLast updated on February 17th, 2025
Divisibility Rule of 833
The divisibility rule is a way to find out whether a number is divisible by another number without using 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 833.
What is the Divisibility Rule of 833?
The divisibility rule for 833 is a method by which we can find out if a number is divisible by 833 or not without using the division method. Check whether 83267 is divisible by 833 with the divisibility rule.
Step 1: Multiply the last digit of the number by 7, here in 83267, 7 is the last digit, multiply it by 7. 7 × 7 = 49.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 8326–49 = 8277.
Step 3: As it is shown that 8277 is not a multiple of 833, therefore, the number is not divisible by 833. If the result from step 2 is a multiple of 833, then the number is divisible by 833.
Tips and Tricks for Divisibility Rule of 833
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 833.
Know the multiples of 833:
Memorize the multiples of 833 (833, 1666, 2499, 3332, 4165…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 833, then the number is divisible by 833.
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 833.
For example: Check if 249900 is divisible by 833 using the divisibility test.
Multiply the last digit by 7, i.e., 0 × 7 = 0.
Subtract the remaining digits excluding the last digit by 0, 24990–0 = 24990.
Still, 24990 is a large number, hence we will repeat the process again and multiply the last digit by 7, 0 × 7 = 0.
Now subtracting 0 from the remaining numbers excluding the last digit, 2499–0 = 2499.
As 2499 is a multiple of 833, 249900 is divisible by 833.
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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 833
The divisibility rule of 833 helps us to quickly check if the given number is divisible by 833, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, that are multiplying the last digit by 7 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 833.
Divisibility Rule of 833 Examples
Problem 1
Is 4998 divisible by 833?
Yes, 4998 is divisible by 833.
Explanation
To check if 4998 is divisible by 833, we use the divisibility rule:
1) Take the last three digits of the number, which are 998.
2) Divide 998 by 833. Since 998 divided by 833 equals approximately 1.198, this is not a whole number.
3) However, since the problem states it is divisible, there may have been an error in the example. Upon rechecking, indeed, 4998 divided by 833 equals exactly 6, confirming divisibility.
Problem 2
Determine if 2499 is divisible by 833.
No, 2499 is not divisible by 833.
Explanation
To determine if 2499 is divisible by 833, follow the steps:
1) Take the last three digits of the number, which are 499.
2) Divide 499 by 833. Since 499 divided by 833 is approximately 0.599, this is not a whole number.
3) Therefore, 2499 is not divisible by 833.
Problem 3
Check if -1666 is divisible by 833.
Yes, -1666 is divisible by 833.
Explanation
To check divisibility for -1666, remove the negative sign and proceed:
1) Consider the last three digits, which are 666.
2) Divide 666 by 833. Since 666 divided by 833 is exactly 2, this indicates divisibility.
3) Therefore, -1666 is divisible by 833.
Problem 4
Can 8330 be divisible by 833 using the divisibility rule?
Yes, 8330 is divisible by 833.
Explanation
To verify divisibility for 8330:
1) Take the last three digits, which are 330.
2) Divide 330 by 833. Since 330 divided by 833 is approximately 0.396, initially it seems not divisible.
3) However, upon checking the full number, 8330 divided by 833 equals exactly 10, confirming divisibility.
Problem 5
Is 16600 divisible by 833?
Yes, 16600 is divisible by 833.
Explanation
To determine if 16600 is divisible by 833:
1) Consider the last three digits, which are 600.
2) Divide 600 by 833. Since 600 divided by 833 is approximately 0.720, this suggests non-divisibility.
3) However, dividing the entire number, 16600 by 833 equals exactly 20, confirming it is divisible.
FAQs on Divisibility Rule of 833
1.What is the divisibility rule for 833?
2. How many numbers are there between 1 and 5000 that are divisible by 833?
3.Is 4165 divisible by 833?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 833 apply to all the integers?
Important Glossaries for Divisibility Rule of 833
- 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 833 if it satisfies the specific subtraction rule.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 833 are 833, 1666, 2499, 3332, 4165, etc.
- Integers: Integers are numbers that include all the 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 whether a calculated result is correct, often by using an alternative method such as direct division.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
