765 LearnersLast updated on May 26th, 2025
Divisibility Rule of 953
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 953.
What is the Divisibility Rule of 953?
The divisibility rule for 953 is a method by which we can find out if a number is divisible by 953 or not without using the division method. Check whether 1906 is divisible by 953 with the divisibility rule.
Step 1: Multiply the last digit of the number by 5, here in 1906, 6 is the last digit, multiply it by 5. 6 × 5 = 30
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 190–30 = 160.
Step 3: As it is shown that 160 is not a multiple of 953, therefore, the number is not divisible by 953. If the result from Step 2 is a multiple of 953, then the number is divisible by 953.
Tips and Tricks for Divisibility Rule of 953
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 953.
Know the multiples of 953:
Memorize the multiples of 953 (953, 1906, 2859, … etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 953, then the number is divisible by 953.
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 953.
For example: Check if 3812 is divisible by 953 using the divisibility test. Multiply the last digit by 5, i.e., 2 × 5 = 10.
Subtract the remaining digits excluding the last digit by 10, 381–10 = 371.
Still, 371 is not a multiple of 953, hence 3812 is not divisible by 953.
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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 953
The divisibility rule of 953 helps us to quickly check if the given number is divisible by 953, 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, which are multiplying the last digit by 5 and then subtracting the result from the remaining digits excluding the last digits and checking whether it is a multiple of 953.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have got a large number to result in after subtraction. The process should be repeated until we get the smallest number that is divisible by 953.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So, students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Divisibility Rule of 953 Examples
Problem 1
Is 1906 divisible by 953?
Yes, 1906 is divisible by 953.
Explanation
To determine if 1906 is divisible by 953, follow these steps:
1) Divide 1906 by 953.
2) The result is exactly 2 with no remainder, which confirms that 1906 is divisible by 953.
Problem 2
Check the divisibility rule of 953 for 2859.
Yes, 2859 is divisible by 953.
Explanation
To verify if 2859 is divisible by 953, follow these steps:
1) Divide 2859 by 953.
2) The result is exactly 3 with no remainder, indicating that 2859 is divisible by 953.
Problem 3
Is -953 divisible by 953?
Yes, -953 is divisible by 953.
Explanation
To check divisibility, we disregard the negative sign and use the absolute value:
1) Divide 953 by 953.
2) The result is exactly 1 with no remainder, confirming that -953 is divisible by 953.
Problem 4
Can 1400 be divisible by 953 following the divisibility rule?
No, 1400 isn't divisible by 953.
Explanation
To determine if 1400 is divisible by 953, follow these steps:
1) Divide 1400 by 953.
2) The result is not an integer (approximately 1.469), indicating that 1400 is not divisible by 953.
Problem 5
Check the divisibility rule of 953 for 4765.
Yes, 4765 is divisible by 953.
Explanation
To check if 4765 is divisible by 953, follow these steps:
1) Divide 4765 by 953.
2) The result is exactly 5 with no remainder, confirming that 4765 is divisible by 953.
FAQs on Divisibility Rule of 953
1.What is the divisibility rule for 953?
2.How many numbers are there between 1 and 10000 that are divisible by 953?
3.Is 2859 divisible by 953?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 953 apply to all the integers?
6.How can children in Canada use numbers in everyday life to understand Divisibility Rule of 953?
7.What are some fun ways kids in Canada can practice Divisibility Rule of 953 with numbers?
8.What role do numbers and Divisibility Rule of 953 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Divisibility Rule of 953 skills?
Important Glossaries for Divisibility Rule of 953
- 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 953 based on specific steps to check without direct division.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 953 are 953, 1906, 2859, etc.
- Integers: Integers are the 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 the accuracy of a result. In this context, using actual division to confirm the divisibility rule's outcome.
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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.
