Last updated on May 26th, 2025
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.
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.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 534.
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.
Breaking down numbers into prime factors can simplify the process of checking divisibility.
Use combinations of simpler divisibility rules to check divisibility by the composite number 534.
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
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.
Does the number of books in the library, 1068, follow the divisibility rule of 534?
Yes, 1068 is divisible by 534.
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.
A factory produces 1602 gadgets. Is this number divisible by 534?
No, 1602 is not divisible by 534.
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.
Is the number of participants, 2670, in a marathon divisible by 534?
Yes, 2670 is divisible by 534.
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.
Is the number of trees planted in a park, 801, divisible by 534?
No, 801 is not divisible by 534.
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.
A shipment contains 2136 items. Is this number divisible by 534?
Yes, 2136 is divisible by 534.
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.
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.
: She loves to read number jokes and games.