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113 LearnersLast updated on February 18th, 2025
Divisibility Rule of 979
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 979.
What is the Divisibility Rule of 979?
The divisibility rule for 979 is a method by which we can find out if a number is divisible by 979 or not without using the division method. Check whether 1958 is divisible by 979 with the divisibility rule.
Step 1: Divide the number into groups of three digits from the right. Here in 1958, we have two groups: 1 and 958.
Step 2: Multiply the group of digits other than the rightmost group by 1021. In this case, multiply 1 by 1021. 1 × 1021 = 1021
Step 3: Subtract the result from Step 2 from the rightmost group. 958 - 1021 = -63.
If the result is zero or a multiple of 979, then the original number is divisible by 979. Since -63 is not a multiple of 979, 1958 is not divisible by 979.
Tips and Tricks for Divisibility Rule of 979
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 979.
Know the multiples of 979: Memorize the multiples of 979 (979, 1958, 2937, etc.) to quickly check divisibility. If the subtraction result is a multiple of 979, then the number is divisible by 979.
Use absolute values for subtraction results: If the subtraction result is negative, consider it as a positive number for checking divisibility.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 979. For example, check if 2937 is divisible by 979 using the divisibility test. Divide the number into groups: 2 and 937. Multiply 2 by 1021: 2 × 1021 = 2042. Subtract 2042 from 937: 937 - 2042 = -1105. Since -1105 is not a multiple of 979, 2937 is not divisible by 979.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 979
The divisibility rule of 979 helps us quickly check if a given number is divisible by 979, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps by multiplying the group of digits other than the rightmost group by 1021 and then subtracting the result from the rightmost group and checking whether it is a multiple of 979
Divisibility Rule of 979 Examples
Problem 1
Is 1958 divisible by 979?
Yes, 1958 is divisible by 979.
Explanation
To check if 1958 is divisible by 979:
1) Divide the number by 979 to check the divisibility.
2) 1958 ÷ 979 = 2.
3) Since the result is a whole number, 1958 is divisible by 979.
Problem 2
Check the divisibility rule of 979 for 2937.
Yes, 2937 is divisible by 979.
Explanation
To verify if 2937 is divisible by 979:
1) Divide 2937 by 979.
2) 2937 ÷ 979 = 3.
3) The result is a whole number, so 2937 is divisible by 979.
Problem 3
Is -2937 divisible by 979?
Yes, -2937 is divisible by 979.
Explanation
For checking divisibility of -2937:
1) Ignore the negative sign and focus on 2937.
2) Divide 2937 by 979.
3) 2937 ÷ 979 = 3, which is a whole number.
4) Thus, -2937 is divisible by 979.
Problem 4
Can 1500 be divisible by 979 following the divisibility rule?
No, 1500 isn't divisible by 979.
Explanation
o check if 1500 is divisible by 979:
1) Divide 1500 by 979.
2) 1500 ÷ 979 = 1.531.
3) Since the result is not a whole number, 1500 is not divisible by 979.
Problem 5
Check the divisibility rule of 979 for 29370.
Yes, 29370 is divisible by 979.
Explanation
To check if 29370 is divisible by 979:
1) Divide 29370 by 979.
2) 29370 ÷ 979 = 30.
3) The result is a whole number, so 29370 is divisible by 979.
FAQs on Divisibility Rule of 979
1. What is the divisibility rule for 979?
2. How many numbers are there between 1 and 10000 that are divisible by 979?
3.Is 2937 divisible by 979?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 979 apply to all integers?
Important Glossaries for Divisibility Rule of 979
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 979 are 979, 1958, 2937, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Absolute value: The non-negative value of a number without regard to its sign.
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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.
