198 LearnersLast updated on May 26th, 2025
Divisibility Rule of 427
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 427.
What is the Divisibility Rule of 427?
The divisibility rule for 427 is a method by which we can find out if a number is divisible by 427 without using the division method. Check whether 854 is divisible by 427 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 854, 4 is the last digit. Multiply it by 2. 4 × 2 = 8.
Step 2: Subtract the result from Step 1 from the remaining values, but do not include the last digit. i.e., 85 - 8 = 77.
Step 3: If the result from step 2 isn't a multiple of 427, then the number isn't divisible by 427. In this example, 77 is not a multiple of 427, so 854 is not divisible by 427.
Tips and Tricks for Divisibility Rule of 427
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 427.
Know the multiples of 427:
Memorize the multiples of 427 (427, 854, 1281, 1708, 2135, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 427, then the number is divisible by 427.
Use 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 427.
For example: Check if 2552 is divisible by 427 using the divisibility test.
Multiply the last digit by 2, i.e., 2 × 2 = 4.
Subtract the remaining digits excluding the last digit by 4, 255 - 4 = 251.
Still, 251 is not a multiple of 427, so 2552 is not divisible by 427.
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 427
The divisibility rule of 427 helps us to quickly check if the given number is divisible by 427, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: multiply the last digit by 2 and then subtract the result from the remaining digits excluding the last digit, checking whether it is a multiple of 427.
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 427.
Mistake 4
Not considering negative values.
Students should consider negative values as positive while checking for divisibility, as the divisibility rule applies to negative values too.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 427 Examples
Problem 1
Is 2135 divisible by 427?
No, 2135 is not divisible by 427.
Explanation
To check the divisibility rule of 427 for 2135, follow these steps:
1) Double the last digit of the number, 5 × 2 = 10.
2) Subtract this result from the remaining digits, excluding the last digit, 213 – 10 = 203.
3) Check if 203 is a multiple of 427. No, 203 is not a multiple of 427.
Problem 2
Check if 5982 is divisible by 427
No, 5982 is not divisible by 427.
Explanation
To determine if 5982 is divisible by 427, follow these steps:
1) Double the last digit of the number, 2 × 2 = 4.
2) Subtract this result from the remaining digits, excluding the last digit, 598 – 4 = 594.
3) Check if 594 is a multiple of 427. No, 594 is not a multiple of 427.
Problem 3
Is 1708 divisible by 427?
Yes, 1708 is divisible by 427.
Explanation
To verify if 1708 is divisible by 427, follow these steps:
1) Double the last digit of the number, 8 × 2 = 16.
2) Subtract this result from the remaining digits, excluding the last digit, 170 – 16 = 154.
3) Check if 154 is a multiple of 427. Yes, 154 is not a multiple of 427, but 1708 itself is a multiple of 427 (427 × 4).
Problem 4
Can 2562 be divisible by 427 following the divisibility rule?
No, 2562 isn't divisible by 427.
Explanation
To check if 2562 is divisible by 427, follow these steps:
1) Double the last digit of the number, 2 × 2 = 4.
2) Subtract this result from the remaining digits, excluding the last digit, 256 – 4 = 252.
3) Check if 252 is a multiple of 427. No, 252 is not a multiple of 427.
Problem 5
Check the divisibility rule of 427 for 8540.
Yes, 8540 is divisible by 427.
Explanation
To confirm if 8540 is divisible by 427, follow these steps:
1) Double the last digit of the number, 0 × 2 = 0.
2) Subtract this result from the remaining digits, excluding the last digit, 854 – 0 = 854.
3) Check if 854 is a multiple of 427. Yes, 854 is a multiple of 427 (427 × 2 = 854).
FAQs on Divisibility Rule of 427
1.What is the divisibility rule for 427?
2.How many numbers are there between 1 and 2000 that are divisible by 427?
3.Is 1708 divisible by 427?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 427 apply to all integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 427?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 427 with numbers?
8.What role do numbers and Divisibility Rule of 427 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 427 skills?
Important Glossary for Divisibility Rule of 427
- Divisibility rule: The set of steps used to determine whether a number is divisible by another number without performing division.
- Multiples: Numbers that can be obtained by multiplying a given number by an integer. For example, multiples of 427 are 427, 854, 1281, etc.
- Subtraction: A mathematical operation that involves finding the difference between numbers by taking one away from another.
- Integer: A number that includes all whole numbers, their negatives, and zero.
- Verify: To check or establish the accuracy or truth of something, such as using division to confirm results.
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About BrightChamps in United Arab Emirates
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.
