207 LearnersLast updated on May 26th, 2025
Divisibility Rule of 469
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 rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 469.
What is the Divisibility Rule of 469?
The divisibility rule for 469 is a method by which we can find out if a number is divisible by 469 or not without using the division method. Check whether 938 is divisible by 469 with the divisibility rule.
Step 1: Multiply the last digit of the number by 9. Here in 938, 8 is the last digit. Multiply it by 9. 8 × 9 = 72.
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 93 - 72 = 21.
Step 3: As it is shown that 21 is not a multiple of 469, therefore, the number is not divisible by 469. If the result from step 2 is a multiple of 469, then the number is divisible by 469.
Tips and Tricks for Divisibility Rule of 469
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 469.
- Know the multiples of 469: Memorize the multiples of 469 (469, 938, 1407, 1876, 2345…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 469, then the number is divisible by 469.
- Use the negative numbers: If the result we get after the subtraction 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 469.
For example: Check if 2814 is divisible by 469 using the divisibility test.
Multiply the last digit by 9, i.e., 4 × 9 = 36.
Subtract the remaining digits excluding the last digit by 36, 281 - 36 = 245.
Still, 245 is a large number, hence we will repeat the process again and multiply the last digit by 9, 5 × 9 = 45.
Now subtracting 45 from the remaining numbers excluding the last digit, 24 - 45 = -21.
As 21 is not a multiple of 469, 2814 is not divisible by 469.
- 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 469
The divisibility rule of 469 helps us to quickly check if the given number is divisible by 469, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that involve multiplying the last digit with 9 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 469.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number result after subtraction. The process should be repeated until we get the smallest number that is divisible by 469.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid this error, students should practice regularly.
Divisibility Rule of 469 Examples
Problem 1
Is 4690 divisible by 469?
Yes, 4690 is divisible by 469.
Explanation
To check if 4690 is divisible by 469, we can divide directly since 4690 is a straightforward multiple.
1) Divide 4690 by 469, which equals 10.
2) The result is an integer, confirming that 4690 is divisible by 469 (469 × 10 = 4690).
Problem 2
Check the divisibility rule of 469 for 938.
Yes, 938 is divisible by 469.
Explanation
To determine if 938 is divisible by 469, we can check if it is twice 469.
1) Divide 938 by 469, which equals 2.
2) The result is an integer, confirming 938 is divisible by 469 (469 × 2 = 938).
Problem 3
Is -469 divisible by 469?
Yes, -469 is divisible by 469.
Explanation
For checking divisibility of a negative number, consider only the magnitude.
1) The absolute value of -469 is 469.
2) 469 is divisible by itself; hence, -469 is divisible by 469.
Problem 4
Can 470 be divisible by 469 using the divisibility rule?
No, 470 isn't divisible by 469.
Explanation
To check if 470 is divisible by 469, we can perform a simple division.
1) Divide 470 by 469, which does not result in an integer.
2) Since the result is not an integer, 470 is not divisible by 469.
Problem 5
Check the divisibility rule of 469 for 2345.
No, 2345 is not divisible by 469.
Explanation
To verify if 2345 is divisible by 469:
1) Divide 2345 by 469, which does not yield an integer.
2) Since the result is not an integer, 2345 is not divisible by 469.
FAQs on Divisibility Rule of 469
1.What is the divisibility rule for 469?
2. How many numbers are there between 1 and 5000 that are divisible by 469?
3.Is 1407 divisible by 469?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 469 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 469?
7.What are some fun ways kids in United States can practice Divisibility Rule of 469 with numbers?
8.What role do numbers and Divisibility Rule of 469 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 469 skills?
Important Glossaries for Divisibility Rule of 469
- 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 2 if the number ends with even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 469 are 469, 938, 1407, 1876, etc.
- Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Verification: Verification is the process of confirming the accuracy of a result or calculation, often by performing an additional check such as division.
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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.
