125 LearnersLast updated on May 26th, 2025
Divisibility Rule of 58
The divisibility rule is a method to determine whether a number is divisible by another number without performing actual division. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 58.
What is the Divisibility Rule of 58?
The divisibility rule for 58 is a method to find out if a number is divisible by 58 without using the division method. Check whether 4644 is divisible by 58 using the divisibility rule.
Step 1: Recognize that 58 is the product of 2 and 29. Therefore, a number must be divisible by both 2 and 29 to be divisible by 58.
Step 2: Check for divisibility by 2. A number is divisible by 2 if its last digit is even. In 4644, the last digit is 4, which is even.
Step 3: Check for divisibility by 29. Use long division or check the multiples of 29. For this example, divide 4644 by 29, which results in 160, a whole number, indicating divisibility.
Since 4644 is divisible by both 2 and 29, it is divisible by 58.
Tips and Tricks for Divisibility Rule of 58
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 58.
- Know the multiples of 58: Memorize the multiples of 58 (58, 116, 174, 232, etc.) to quickly check divisibility.
- Use the factors of 58: Since 58 is 2 × 29, ensure a number is divisible by both 2 and 29.
- Repeat the process for large numbers: For larger numbers, divide by both 2 and 29 to check divisibility.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results, helping them to verify and learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 58
The divisibility rule of 58 helps us quickly check if a given number is divisible by 58, 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 checking both factors.
Always ensure the number is divisible by both 2 and 29.
Mistake 2
Ignoring the evenness of the last digit.
Remember that a number must end in an even digit to be divisible by 2.
Mistake 3
Not verifying with division.
Use division to check your work when in doubt.
Mistake 4
Confusing the steps for 2 and 29.
Practice regularly to avoid confusion between checking divisibility by 2 and by 29.
Mistake 5
Forgetting one of the factors.
Always keep in mind that 58 is a combination of 2 and 29, and both checks are necessary.
Divisibility Rule of 58 Examples
Problem 1
Is 232 divisible by 58?
Yes, 232 is divisible by 58.
Explanation
To check if 232 is divisible by 58, we can directly divide 232 by 58. The result is an integer:
1) Calculate (232 div 58 = 4).
2) Since the result is a whole number, 232 is divisible by 58.
Problem 2
Check the divisibility rule of 58 for 464.
Yes, 464 is divisible by 58.
Explanation
To check if 464 is divisible by 58, we perform the division:
1) Calculate (464 div 58 = 8).
2) The result is an integer, so 464 is divisible by 58.
Problem 3
Is -580 divisible by 58?
Yes, -580 is divisible by 58.
Explanation
To check divisibility for a negative number, we can ignore the negative sign:
1) Calculate (580 div 58 = 10).
2) The result is a whole number, which means -580 is divisible by 58.
Problem 4
Can 333 be divisible by 58 following the divisibility rule?
No, 333 isn't divisible by 58.
Explanation
To check if 333 is divisible by 58, perform the division:
1) Calculate (333 div 58 approx 5.74).
2) The result is not an integer, so 333 is not divisible by 58.
Problem 5
Check the divisibility rule of 58 for 696.
Yes, 696 is divisible by 58.
Explanation
To verify divisibility, divide 696 by 58:
1) Calculate (696 div 58 = 12).
2) The result is a whole number, indicating that 696 is divisible by 58.
FAQs on Divisibility Rule of 58
1.What is the divisibility rule for 58?
2.Are there any numbers between 1 and 100 divisible by 58?
3.Is 116 divisible by 58?
4.What if I get a decimal when dividing by 29?
5.Does the divisibility rule of 58 apply to all integers?
6.How can children in Singapore use numbers in everyday life to understand Divisibility Rule of 58?
7.What are some fun ways kids in Singapore can practice Divisibility Rule of 58 with numbers?
8.What role do numbers and Divisibility Rule of 58 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 58 skills?
Important Glossaries for Divisibility Rule of 58
- Divisibility rule: The set of steps used to determine if a number can be divided evenly by another number without using division.
- Factors: Numbers that divide into another number without leaving a remainder. For 58, the factors are 2 and 29.
- Multiples: Results obtained from multiplying a number by integers. For example, multiples of 58 are 58, 116, 174, etc.
- Integers: Whole numbers, including negative numbers and zero.
- Even Numbers: Numbers that end in 0, 2, 4, 6, or 8, and are divisible by 2.
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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.
