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125 LearnersLast updated on February 14th, 2025
Divisibility Rule of 539
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 539.
What is the Divisibility Rule of 539?
The divisibility rule for 539 is a method by which we can find out if a number is divisible by 539 or not without using the division method. Check whether 1078 is divisible by 539 with the divisibility rule.
Step 1: Break down 539 into its prime factors: 539 = 11 × 49.
Step 2: Check divisibility by 11. Subtract the last digit from the rest of the number. For 1078, subtract 8 from 107: 107 - 8 = 99. Since 99 is divisible by 11, 1078 passes the first check.
Step 3: Check divisibility by 49. Divide 1078 by 49 to see if it results in an integer.
Step 4: If both checks (by 11 and by 49) confirm divisibility, the number is divisible by 539. Otherwise, it is not divisible by 539.
Tips and Tricks for Divisibility Rule of 539
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 539.
- Know the multiples of 539: Memorize the multiples of 539 (e.g., 539, 1078, 1617, etc.) to quickly check the divisibility. If the number matches one of these multiples, it is divisible by 539.
- Use the prime factors: Remember that 539 = 11 × 49. Checking divisibility for these smaller factors can help.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by both 11 and 49.
- 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 the Divisibility Rule of 539
The divisibility rule of 539 helps us quickly check if a given number is divisible by 539, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, checking divisibility by both 11 and 49.
Divisibility Rule of 539 Examples
Problem 1
Is 1617 divisible by 539?
Yes, 1617 is divisible by 539.
Explanation
To check if 1617 is divisible by 539, divide the number and check for no remainder.
1) Divide 1617 by 539, 1617 ÷ 539 = 3.
2) The division results in a whole number with no remainder.
Therefore, 1617 is divisible by 539.
Problem 2
Check the divisibility rule of 539 for 2695.
No, 2695 is not divisible by 539.
Explanation
To determine if 2695 is divisible by 539:
1) Divide 2695 by 539, 2695 ÷ 539 = 5 with a remainder of 200.
2) The division does not result in a whole number, as there is a remainder.
Therefore, 2695 is not divisible by 539.
Problem 3
Is -1078 divisible by 539?
Yes, -1078 is divisible by 539.
Explanation
To check if -1078 is divisible by 539, ignore the negative sign and divide.
1) Divide 1078 by 539, 1078 ÷ 539 = 2.
2) The division results in a whole number without a remainder.
Thus, -1078 is divisible by 539.
Problem 4
Can 2156 be divisible by 539 following the divisibility rule?
No, 2156 isn't divisible by 539.
Explanation
To verify, divide 2156 by 539:
1) 2156 ÷ 539 = 4 with a remainder of 0.
2) Initially, it seems divisible, but check again, as the remainder should be 0.
Reevaluate and find an error in calculation; it is not evenly divisible.
Therefore, 2156 is not divisible by 539.
Problem 5
Check the divisibility rule of 539 for 3234.
Yes, 3234 is divisible by 539.
Explanation
To confirm divisibility:
1) Divide 3234 by 539, 3234 ÷ 539 = 6.
2) The division yields a whole number with no remainder.
Thus, 3234 is divisible by 539.
FAQs on Divisibility Rule of 539
1.What is the divisibility rule for 539?
2.How many numbers are there between 1 and 3000 that are divisible by 539?
3.Is 1078 divisible by 539?
4.What if I get 0 after checking divisibility?
5.Does the divisibility rule of 539 apply to all integers?
Important Glossaries for Divisibility Rule of 539
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Prime factors: The prime numbers that multiply together to get a composite number.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 539 are 539, 1078, 1617...
- Composite number: A whole number that can be divided evenly by numbers other than 1 or itself.
- Integer: A number that includes all whole numbers, negative numbers, and zero.
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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.
