185 LearnersLast updated on May 26th, 2025
Divisibility Rule of 113
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 113.
What is the Divisibility Rule of 113?
The divisibility rule for 113 is a method by which we can find out if a number is divisible by 113 or not without using the division method. Check whether 2260 is divisible by 113 with the divisibility rule.
Step 1: Take the last two digits of the number, here in 2260, 60 is the last two digits.
Step 2: Multiply the last two digits by 9. 60 × 9 = 540.
Step 3: Subtract the result from Step 2 from the remaining number. i.e., 22 - 540 = -518.
Step 4: Since the result is not zero or a multiple of 113, 2260 is not divisible by 113. If the result from step 3 is zero or a multiple of 113, then the number is divisible by 113.
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Tips and Tricks for Divisibility Rule of 113
Learn divisibility rule; it will help kids to master the division. Let’s learn a few tips and tricks for the divisibility rule of 113.
Know the multiples of 113:
Memorize the multiples of 113 (113, 226, 339, 452, 565… etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 113, then the number is divisible by 113.
Use the negative numbers:
If the result we get after the subtraction is negative, we will consider its absolute value for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 113. For example: Check if 6789 is divisible by 113 using the divisibility test. Take the last two digits, 89, and multiply by 9, i.e., 89 × 9 = 801. Subtract 801 from the remaining number, 67 - 801 = -734. Since -734 is not zero or a multiple of 113, 6789 is not divisible by 113.
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 Divisibility Rule of 113
The divisibility rule of 113 helps us to quickly check if the given number is divisible by 113, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that involve taking the last two digits, multiplying them by 9, and then subtracting the result from the remaining digits.
Mistake 2
Including more than two digits in subtraction.
Students should keep in mind that they should only consider the last two digits for multiplication and exclude them in the subtraction process.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number after subtraction. The process should be repeated until they get a number that is clearly divisible by 113.
Mistake 4
Not considering the absolute value of negative results.
Students should consider the absolute value of negative results while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid this, students should practice regularly.
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Divisibility Rule of 113 Examples
Problem 1
Is 226 divisible by 113?
Yes, 226 is divisible by 113.
Explanation
To determine if 226 is divisible by 113, follow these steps:
1) Divide the number directly by 113.
2) 226 ÷ 113 = 2, with no remainder.
3) Since there is no remainder, 226 is divisible by 113.
Problem 2
Check the divisibility of 113 for the number 339.
Yes, 339 is divisible by 113.
Explanation
To verify if 339 is divisible by 113, follow these steps:
1) Divide the number directly by 113.
2) 339 ÷ 113 = 3, with no remainder.
3) Since the result is an integer with no remainder, 339 is divisible by 113.
Problem 3
Can -452 be divisible by 113?
No, -452 is not divisible by 113.
Explanation
To check divisibility for negative numbers, consider the absolute value:
1) Divide the absolute value of the number by 113.
2) 452 ÷ 113 = 4, remainder 0.
3) Since the division yields no remainder, -452 is divisible by 113.
Problem 4
Is 678 divisible by 113?
No, 678 is not divisible by 113.
Explanation
To check if 678 is divisible by 113, follow these steps:
1) Divide the number by 113.
2) 678 ÷ 113 = 6, remainder 0.
3) Since there is no remainder, 678 is divisible by 113.
Problem 5
Check if 2260 is divisible by 113.
Yes, 2260 is divisible by 113.
Explanation
To determine if 2260 is divisible by 113, follow these steps:
1) Divide the number by 113.
2) 2260 ÷ 113 = 20, with no remainder.
3) Since the result is an integer with no remainder, 2260 is divisible by 113.
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FAQs on Divisibility Rule of 113
1.What is the divisibility rule for 113?
2.How many numbers are there between 1 and 1000 that are divisible by 113?
3.Is 452 divisible by 113?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 113 apply to all integers?
6.How can children in Canada use numbers in everyday life to understand Divisibility Rule of 113?
7.What are some fun ways kids in Canada can practice Divisibility Rule of 113 with numbers?
8.What role do numbers and Divisibility Rule of 113 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Divisibility Rule of 113 skills?
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Important Glossaries for Divisibility Rule of 113
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not. For example, a number is divisible by 113 if specific conditions are met.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 113 are 113, 226, 339, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.
- Absolute value: The absolute value of a number is its non-negative value without any regard to its sign.
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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.
