188 LearnersLast updated on May 26th, 2025
Divisibility Rule of 489
The divisibility rule is a way to find out whether a number is divisible by another number without directly using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 489.
What is the Divisibility Rule of 489?
The divisibility rule for 489 is a method by which we can determine if a number is divisible by 489 without using traditional division. Let’s check whether 1467 is divisible by 489 using this rule.
Step 1: Multiply the last digit of the number by 2; here in 1467, 7 is the last digit. Multiply it by 2. 7 × 2 = 14
Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. i.e., 146 – 14 = 132.
Step 3: As 132 is not a multiple of 489, we need to verify using division to confirm the number is not divisible by 489.
Tips and Tricks for Divisibility Rule of 489
Learning the divisibility rule will help kids master division. Let’s explore a few tips and tricks for the divisibility rule of 489.
- Know the multiples of 489: Memorize the multiples of 489 (489, 978, 1467, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 489, then the number is divisible by 489.
- Use the negative numbers: If the result we get after the subtraction is negative, we will avoid the negative sign 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 489.
For example, check if 1956 is divisible by 489 using the divisibility test.
Multiply the last digit by 2, i.e., 6 × 2 = 12
Subtract 12 from the remaining digits, excluding the last digit: 195 – 12 = 183
Since 183 is larger than 489, we repeat the process. Multiply the last digit by 2, 3 × 2 = 6.
Subtract 6 from the remaining numbers, excluding the last digit: 18 – 6 = 12.
Since 12 is not a multiple of 489, 1956 is not divisible by 489.
- Use the division method to verify: Students can use the division method to verify and cross-check their results. This helps in verification and learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 489
The divisibility rule of 489 helps us quickly check if a given number is divisible by 489, but common mistakes like calculation errors can lead to incorrect conclusions. Here are some common mistakes and how to avoid them:
Mistake 1
Not following the correct steps.
Students should follow the correct steps: multiply the last digit by 2, then subtract the result from the remaining digits excluding the last digit, and check whether it is a multiple of 489.
Divisibility Rule of 489 Examples
Problem 1
Is 1467 divisible by 489?
Yes, 1467 is divisible by 489.
Explanation
To determine if 1467 is divisible by 489, we can use the divisibility rule.
1) Multiply the last digit (7) by 9, 7 × 9 = 63.
2) Subtract the result from the remaining digits (146), 146 - 63 = 83.
3) Check if 83 is divisible by 489. In this context, since the subtraction didn't yield a result that can be further processed to gauge divisibility by 489 directly, we confirm through division: 1467 ÷ 489 = 3, which is an integer.
Thus, 1467 is divisible by 489.
Problem 2
Check the divisibility rule of 489 for 978.
Yes, 978 is divisible by 489.
Explanation
For 978, we apply the divisibility rule.
1) Multiply the last digit (8) by 9, 8 × 9 = 72.
2) Subtract the result from the remaining digits (97), 97 - 72 = 25.
3) Check further processing or use division: 978 ÷ 489 = 2, which confirms divisibility. Therefore, 978 is divisible by 489.
Problem 3
Is -2934 divisible by 489?
Yes, -2934 is divisible by 489.
Explanation
To check the divisibility for -2934, disregard the negative sign and apply the rule.
1) Multiply the last digit (4) by 9, 4 × 9 = 36.
2) Subtract the result from the remaining digits (293), 293 - 36 = 257.
3) Since direct subtraction doesn't provide clarity, division confirms: 2934 ÷ 489 = 6. Thus, -2934 is divisible by 489.
Problem 4
Can 1234 be divisible by 489 following the divisibility rule?
No, 1234 isn't divisible by 489.
Explanation
Apply the divisibility rule for 489 on 1234.
1) Multiply the last digit (4) by 9, 4 × 9 = 36.
2) Subtract the result from the remaining digits (123), 123 - 36 = 87.
3) Check if 87 is divisible by 489, which it is not. Confirm with division: 1234 ÷ 489 ≈ 2.52, not an integer. So, 1234 is not divisible by 489.
Problem 5
Check the divisibility rule of 489 for 4890.
Yes, 4890 is divisible by 489.
Explanation
For 4890, use the divisibility rule.
1) Multiply the last digit (0) by 9, 0 × 9 = 0.
2) Subtract the result from the remaining digits (489), 489 - 0 = 489.
3) 489 is obviously divisible by 489 (489 × 1 = 489). Hence, 4890 is divisible by 489.
FAQs on Divisibility Rule of 489
1.What is the divisibility rule for 489?
2.How many numbers are there between 1 and 1000 that are divisible by 489?
3.Is 1467 divisible by 489?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 489 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 489?
7.What are some fun ways kids in United States can practice Divisibility Rule of 489 with numbers?
8.What role do numbers and Divisibility Rule of 489 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 489 skills?
Important Glossaries for Divisibility Rule of 489
- Divisibility rule: The set of rules used to determine 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 489 are 489, 978, 1467, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding out the difference between two numbers by reducing one number from another.
- Verification: The process of checking the accuracy of a result, often using an alternative method such as division, to ensure correctness.
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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.
