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116 LearnersLast updated on February 18th, 2025
Divisibility Rule of 989
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 989.
What is the Divisibility Rule of 989?
The divisibility rule for 989 is a method by which we can determine if a number is divisible by 989 without using the division method. Check whether 1978 is divisible by 989 with the divisibility rule.
Step 1: Separate the last three digits of the number, here in 1978, 978 is the last three digits.
Step 2: Subtract the number formed by the last three digits from the number formed by the remaining digits, i.e., 1 - 978 = -977.
Step 3: As it is shown that the difference is not zero, therefore, the number is not divisible by 989. If the result f
Tips and Tricks for Divisibility Rule of 989
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 989.
Know the multiples of 989:
Memorize the multiples of 989 (989, 1978, 2967, 3956, etc.) to quickly check divisibility. If the result from the subtraction is zero, then the number is divisible by 989.
Use absolute values:
If the result we get after subtraction is negative, consider its absolute value for checking divisibility.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is zero after subtraction. For example, check if 2967 is divisible by 989 using the divisibility test. Separate the last three digits, i.e., 967. Subtract 967 from the remaining number, 2 - 967 = -965. Since the subtraction result is not zero, 2967 is not divisible by 989.
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 989
The divisibility rule of 989 helps us to quickly check if the given number is divisible by 989, 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 by separating the last three digits and then subtracting the result from the remaining digits and checking whether the result is zero.
Divisibility Rule of 989 Examples
Problem 1
Is 1978 divisible by 989?
Yes, 1978 is divisible by 989.
Explanation
To determine if 1978 is divisible by 989, we compare it directly since 1978 is exactly twice 989 (989 x 2 = 1978).
Problem 2
Check the divisibility rule of 989 for 2967.
Yes, 2967 is divisible by 989.
Explanation
For checking the divisibility of 2967 by 989, note that 2967 is three times 989 (989 x 3 = 2967).
Problem 3
Is -4945 divisible by 989?
Yes, -4945 is divisible by 989.
Explanation
Although -4945 is negative, remove the negative sign and check divisibility.
1) Recognize that 4945 is five times 989 (989 x 5 = 4945).
2) Hence, -4945 is divisible by 989.
Problem 4
Can 1234 be divisible by 989 following the divisibility rule?
No, 1234 isn't divisible by 989
Explanation
To check if 1234 is divisible by 989, observe that 1234 is not a multiple of 989 and is not close to any multiple of 989.
Problem 5
Check the divisibility rule of 989 for 4945.
Yes, 4945 is divisible by 989.
Explanation
To check the divisibility of 4945 by 989:
1) Recognize that 4945 is five times 989 (989 x 5 = 4945).
2) Therefore, 4945 is divisible by 989.
FAQs on Divisibility Rule of 989
1.What is the divisibility rule for 989?
2.How many numbers are there between 1 and 5000 that are divisible by 989?
3. Is 3956 divisible by 989?
4.What if I get 0 after subtracting?
5. Does the divisibility rule of 989 apply to all integers?
Important Glossaries for Divisibility Rule of 989
- 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 989 are 989, 1978, 2967, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Absolute value: The non-negative value of a number without regard to its sign.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
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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.
