202 LearnersLast updated on May 26th, 2025
Divisibility Rule of 534
The divisibility rule is a way to determine 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 534.
What is the Divisibility Rule of 534?
The divisibility rule for 534 is a method by which we can find out if a number is divisible by 534 or not without using the division method. Check whether 1068 is divisible by 534 with the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 3, since 534 is the product of these numbers (2 × 3 × 89 = 534).
Step 2: For divisibility by 2, the last digit of the number should be even. In 1068, the last digit is 8, which is even.
Step 3: For divisibility by 3, the sum of the digits should be a multiple of 3. In 1068, 1 + 0 + 6 + 8 = 15, and 15 is a multiple of 3.
Step 4: Since the number is divisible by both 2 and 3, we now check for divisibility by 89, which involves more complex calculations or direct division.
Tips and Tricks for Divisibility Rule of 534
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 534.
Know the factors:
Memorize the factors of 534 (2, 3, 89) to quickly check divisibility. If the number is divisible by these factors, it is divisible by 534.
Use prime factorization:
Breaking down numbers into prime factors can simplify the process of checking divisibility.
Combine rules:
Use combinations of simpler divisibility rules to check divisibility by the composite number 534.
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 534
The divisibility rule of 534 helps us quickly check if a given number is divisible by 534, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not checking all factors
Students should ensure they check divisibility by all relevant factors (2, 3, and 89).
Mistake 2
Miscalculating the sum of digits for divisibility by 3.
Carefully add all the digits and confirm that the sum is a multiple of 3.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget them. To avoid this, students should practice regularly
Divisibility Rule of 534 Examples
Problem 1
Does the number of books in the library, 1068, follow the divisibility rule of 534?
Yes, 1068 is divisible by 534.
Explanation
To verify if 1068 is divisible by 534, follow these steps:
1) Take the last three digits (068) and multiply the last digit by 2, 8 × 2 = 16.
2) Subtract the result from the remaining digits, 106 - 16 = 90.
3) Check if the result (90) is divisible by 534. Since 90 is not a multiple of 534, the intermediate step only confirms the initial number was set up correctly, as 1068 is twice 534.
Problem 2
A factory produces 1602 gadgets. Is this number divisible by 534?
No, 1602 is not divisible by 534.
Explanation
To check the divisibility of 1602 by 534, we can proceed with:
1) Multiply the last digit of the number by 2, 2 × 2 = 4.
2) Subtract the result from the rest of the number, 160 - 4 = 156.
3) Check if 156 is a multiple of 534. It is not, so 1602 is not divisible by 534.
Problem 3
Is the number of participants, 2670, in a marathon divisible by 534?
Yes, 2670 is divisible by 534.
Explanation
To determine if 2670 is divisible by 534, use these steps:
1) Multiply the last digit by 2, 0 × 2 = 0.
2) Subtract the result from the remaining numbers, 267 - 0 = 267.
3) Since 267 is not a multiple of 534, check if the initial setup suggests divisibility, as 2670 is five times 534.
Problem 4
Is the number of trees planted in a park, 801, divisible by 534?
No, 801 is not divisible by 534.
Explanation
To verify if 801 is divisible by 534:
1) Multiply the last digit by 2, 1 × 2 = 2.
2) Subtract the result from the rest of the number, 80 - 2 = 78.
3) Since 78 is not a multiple of 534, 801 is not divisible by 534.
Problem 5
A shipment contains 2136 items. Is this number divisible by 534?
Yes, 2136 is divisible by 534.
Explanation
To check divisibility of 2136 by 534, perform these steps:
1) Multiply the last digit by 2, 6 × 2 = 12.
2) Subtract the result from the remaining digits, 213 - 12 = 201.
3) Since 201 is not a multiple of 534, the initial setup shows that 2136 is divisible by 534, as it is four times 534.
FAQs on Divisibility Rule of 534
1.What is the divisibility rule for 534?
2.How many numbers are there between 1 and 1000 that are divisible by 534?
3. Is 534 divisible by 534?
4.What if I get 0 after division?
5.Does the divisibility rule of 534 apply to all integers?
6.How can children in Singapore use numbers in everyday life to understand Divisibility Rule of 534?
7.What are some fun ways kids in Singapore can practice Divisibility Rule of 534 with numbers?
8.What role do numbers and Divisibility Rule of 534 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Divisibility Rule of 534 skills?
Important Glossaries for Divisibility Rule of 534
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number without division.
- Factors: Numbers that can be multiplied together to get another number. For example, factors of 534 are 2, 3, and 89.
- Prime factorization: Breaking down a number into its prime factors. For example, 534 = 2 × 3 × 89.
- Multiple: The result of multiplying a number by an integer. For example, multiples of 534 are 534, 1068, etc.
- Even number: An integer divisible by 2 with no remainder. For example, 8 is an even number.
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About BrightChamps in Singapore
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.
