217 LearnersLast updated on May 26th, 2025
Divisibility Rule of 426
The divisibility rule is a way to determine whether a number is divisible by another number without resorting to direct division. 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 426.
What is the Divisibility Rule of 426?
The divisibility rule for 426 is a method by which we can find out if a number is divisible by 426 without using long division. Check whether 852 is divisible by 426 using the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 71 (the prime factors of 426).
- Divisibility by 2: The number must be even. 852 is even.
- Divisibility by 3: The sum of the digits must be divisible by 3. The sum of the digits of 852 is 8 + 5 + 2 = 15, which is divisible by 3.
- Divisibility by 71: For larger numbers, use direct division or the multiplication method. Divide 852 by 71, resulting in 12, which is a whole number.
Step 2: As 852 is divisible by 2, 3, and 71, it is divisible by 426.
Tips and Tricks for Divisibility Rule of 426
Learning the divisibility rule can help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 426.
Know the multiples of 426:
Memorize the multiples of 426 (426, 852, 1278, etc.) to quickly check divisibility. If the result from checking divisibility by 2, 3, and 71 confirms divisibility, then the number is divisible by 426.
Use the prime factors:
Break down the checks using the prime factors of 426 to determine divisibility.
Repeat the process for large numbers:
For larger numbers, repeat the divisibility checks for 2, 3, and 71 until you confirm divisibility.
Use the division method to verify:
Students can use direct division 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 426
The divisibility rule of 426 helps us to quickly check if a given number is divisible by 426, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the steps of checking divisibility by 2, 3, and 71.
Mistake 2
Skipping checks for individual divisors.
Ensure divisibility by each prime factor before concluding.
Mistake 3
Not repeating the process when needed.
Repeat the checks if unsure until confirming divisibility.
Mistake 4
Confusing the prime factors.
Remember the prime factors of 426 (2, 3, and 71) and check each one.
Mistake 5
Relying solely on memorization.
Practice regularly and understand the reasoning behind each step
Divisibility Rule of 426 Examples
Problem 1
Is the weight of a shipment, 852 kg, divisible by 426?
Yes, 852 kg is divisible by 426.
Explanation
To check if 852 is divisible by 426, we need to divide the number directly since there isn’t a simple rule for 426 like there is for smaller numbers.
1) Divide 852 by 426.
2) 852 ÷ 426 = 2.
3) The result is a whole number, so 852 is divisible by 426.
Problem 2
A parking lot can hold 426 cars in one section. If the total capacity is 1704 cars, can each section be filled evenly?
Yes, each section can be filled evenly with 1704 cars.
Explanation
To verify if 1704 can be divided evenly among sections of 426 cars:
1) Divide 1704 by 426.
2) 1704 ÷ 426 = 4.
3) This results in a whole number, indicating that the cars can be evenly distributed across the sections.
Problem 3
A factory produces 1278 widgets in a day and needs to pack them into crates that hold 426 widgets each. Can all the widgets be packed without any left over?
No, 1278 widgets cannot be packed perfectly into crates of 426.
Explanation
To determine if 1278 widgets can be divided into crates of 426:
1) Divide 1278 by 426.
2) 1278 ÷ 426 = 3 with a remainder.
3) The division does not result in a whole number, so there will be leftover widgets.
Problem 4
A school is organizing a field trip for 2556 students, and each bus can carry 426 students. Can all students be accommodated without any leftover?
Yes, all students can be accommodated.
Explanation
To see if 2556 students can be divided into groups of 426:
1) Divide 2556 by 426.
2) 2556 ÷ 426 = 6.
3) The result is a whole number, meaning all students can be accommodated without any leftover.
Problem 5
A wholesaler has 6390 items to distribute equally among 426 stores. Can each store receive the same number of items?
No, each store cannot receive the same number of items without leftovers.
Explanation
To determine if 6390 items can be evenly distributed among 426 stores:
1) Divide 6390 by 426.
2) 6390 ÷ 426 = 15 with a remainder.
3) The division does not result in a whole number, so there will be leftover items.
FAQs on Divisibility Rule of 426
1.What is the divisibility rule for 426?
2.How many numbers between 1 and 5000 are divisible by 426?
3. Is 1278 divisible by 426?
4.What if I get 0 after using the factors?
5. Does the divisibility rule of 426 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 426?
7.What are some fun ways kids in United States can practice Divisibility Rule of 426 with numbers?
8.What role do numbers and Divisibility Rule of 426 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 426 skills?
Important Glossaries for Divisibility Rule of 426
- Divisibility Rule: The set of procedures used to determine if a number is divisible by another without direct division.
- Prime Factors: The prime numbers that multiply together to create a composite number. For 426, these are 2, 3, and 71.
- Multiples: Products obtained by multiplying a number by an integer, such as 426, 852, and 1278 for 426.
- Remainder: The amount left after division. A remainder of 0 indicates full divisibility.
- Whole Number: A non-negative integer without fractions or decimals.
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About BrightChamps in United States
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.
