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124 LearnersLast updated on February 18th, 2025
Divisibility Rule of 978
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 978.
What is the Divisibility Rule of 978?
The divisibility rule for 978 is a method by which we can find out if a number is divisible by 978 or not without using the division method. Check whether 1956 is divisible by 978 with the divisibility rule.
Step 1: Divide the number into three groups from right to left. If the number is 1956, consider it as 001956. Group it as (001)(956).
Step 2: Add the numbers in each group: 1+0+0=1 and 9+5+6=20.
Step 3: Multiply the first group by -2: 1×(-2)=-2.
Step 4: Add this result to the sum of the second group: 20+(-2)=18.
Step 5: As the result (18) is not a multiple of 978, 1956 is not divisible by 978.
Tips and Tricks for Divisibility Rule of 978
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 978.
Know the multiples of 978:
Memorize the multiples of 978 to quickly check divisibility. If the result from the addition is a multiple of 978, then the number is divisible by 978.
Use negative numbers:
If the result we get after the addition 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 978.
For example: Check if 2934 is divisible by 978 using the divisibility test. Split 2934 into groups: (002)(934).
Add the digits in each group: 0+0+2=2 and 9+3+4=16.
Multiply the first group by -2: 2×(-2)=-4.
Add this result to the sum of the second group: 16+(-4)=12.
Since 12 is not a multiple of 978, 2934 is not divisible by 978.
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 978
Divisibility Rule of 978 Examples
Problem 1
Is 1956 divisible by 978?
Explanation
Problem 2
Check the divisibility rule of 978 for 2934.
Explanation
Problem 3
Is -2934 divisible by 978?
Explanation
Problem 4
Can 1456 be divisible by 978 following the divisibility rule?
Explanation
Problem 5
Check the divisibility rule of 978 for 9780.
Explanation
FAQs on Divisibility Rule of 978
1.What is the divisibility rule for 978?
2.How many numbers are there between 1 and 10,000 that are divisible by 978?
3.Is 1956 divisible by 978?
4.What if I get 0 after the addition?
5.Does the divisibility rule of 978 apply to all integers?
Important Glossaries for Divisibility Rule of 978
- Divisibility rule: The set of rules used to determine if a number is divisible by another number without performing division.
- Multiples: The results obtained from multiplying a number by an integer. For example, multiples of 978 are 978, 1956, 2934, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Addition: The process of finding the total or sum by combining numbers.
- Grouping: The act of dividing numbers into sets or groups for calculation purposes.
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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.
