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104 LearnersLast updated on March 29th, 2025
Divisibility Rule of 968
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 968.
What is the Divisibility Rule of 968?
The divisibility rule for 968 is a method by which we can find out if a number is divisible by 968 or not without using the division method. Check whether 2904 is divisible by 968 with the divisibility rule.
Step 1: Check if the last three digits form a number that is divisible by 968, here in 2904, 904 is the number formed. Since 904 is not divisible by 968, move to step 2.
Step 2: Subtract the number formed by the last three digits from the rest of the number. i.e., 2 - 904 = -902.
Step 3: As -902 is not a multiple of 968, the number 2904 is not divisible by 968. If the result from step 2 isn't zero or a multiple of 968, then the number isn't divisible by 968.
Tips and Tricks for Divisibility Rule of 968
Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 968.
Know the multiples of 968:
Memorize the multiples of 968 (968, 1936, 2904, 3872, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 968, then the number is divisible by 968.
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 968
The divisibility rule of 968 helps us quickly check if a given number is divisible by 968, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by checking if the last three digits form a number divisible by 968 and then subtracting from the remaining digits.
Divisibility Rule of 968 Examples
Problem 1
Is 1936 divisible by 968?
Yes, 1936 is divisible by 968.
Explanation
To check divisibility by 968, let's use the following method:
1) Divide 1936 by 968, 1936 ÷ 968 = 2.
2) Since the division results in a whole number, 1936 is divisible by 968.
Problem 2
Check if 2904 follows the divisibility rule of 968.
No, 2904 is not divisible by 968.
Explanation
To verify if 2904 is divisible by 968:
1) Divide 2904 by 968, 2904 ÷ 968 ≈ 3.002.
2) Since the result is not a whole number, 2904 is not divisible by 968.
Problem 3
Is 0 divisible by 968?
Yes, 0 is divisible by 968.
Explanation
Any number divided by 0 is always 0, which is a whole number. Hence, 0 is divisible by 968.
Problem 4
Can 4840 be divisible by 968 following the divisibility rule?
Yes, 4840 is divisible by 968.
Explanation
To determine if 4840 is divisible by 968:
1) Divide 4840 by 968, 4840 ÷ 968 = 5.
2) Since the result is a whole number, 4840 is divisible by 968.
Problem 5
Check the divisibility rule of 968 for 1452.
No, 1452 is not divisible by 968.
Explanation
To check if 1452 is divisible by 968:
1) Divide 1452 by 968, 1452 ÷ 968 ≈ 1.5.
2) Since the result is not a whole number, 1452 is not divisible by 968.
FAQs on Divisibility Rule of 968
1.What is the divisibility rule for 968?
2.How many numbers are there between 1 and 10000 that are divisible by 968?
3.Is 2904 divisible by 968?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 968 apply to all integers?
Important Glossaries for Divisibility Rule of 968
- 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 3 if the sum of its digits is a multiple of 3.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 968 are 968, 1936, 2904, etc.
- Integers: Integers include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of checking the accuracy of a result, often by using an alternative method such as direct division in this context.
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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.
