178 LearnersLast updated on May 26th, 2025
Divisibility Rule of 124
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 124.
What is the Divisibility Rule of 124?
The divisibility rule for 124 is a method by which we can find out if a number is divisible by 124 or not without using the division method. Check whether 3720 is divisible by 124 with the divisibility rule.
Step 1: Divide the number into groups of three digits from the right. Here, 3720 becomes 3 and 720.
Step 2: Check if all these groups are divisible by 124.
For 720, divide it by 124 to see if it is exact: 720 ÷ 124 = 5.806... (not exact, so 720 is not divisible by 124).
There's no need to check 3 since 720 isn't divisible by 124.
Step 3: As it is shown that not all groups are divisible by 124, therefore, the number is not divisible by 124.
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Tips and Tricks for Divisibility Rule of 124
Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 124.
- Know the multiples of 124: Memorize the multiples of 124 (124, 248, 372, 496, 620, etc.) to quickly check divisibility. If all groups formed by three digits are divisible by 124, then the number is divisible by 124.
- Recognize the pattern in multiples: Understanding the pattern or increments in the multiples of 124 can help you quickly identify if a number is divisible by it.
- Double-check large numbers: For large numbers, ensure each group of three digits (from right to left) is checked for divisibility by 124. If any group is not divisible, the entire number isn't divisible.
- Use the division method to verify: Students can use the division method to verify and cross-check their results. This helps them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 124
The divisibility rule of 124 helps us to quickly check if a given number is divisible by 124, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and their solutions.
Mistake 1
Not dividing the number into correct groups.
Ensure you group the digits correctly in sets of three from the right.
Mistake 2
Forgetting to check each group.
Always check each group for divisibility by 124.
Mistake 3
Not using the division method for verification.
Use the division method as a backup to confirm your results.
Mistake 4
Confusing the steps.
Practice regularly to ensure you follow the steps correctly.
Mistake 5
Ignoring remainder in division.
If the division is not exact (has a remainder), then the number is not divisible by 124.
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Divisibility Rule of 124 Examples
Problem 1
Is the total number of attendees at a conference, 744, divisible by 124?
Yes, 744 is divisible by 124.
Explanation
To check the divisibility of 744 by 124, divide 744 directly by 124. The result is an integer, 6, which means 744 is divisible by 124 without any remainder.
Problem 2
A factory produces 496 units of a product in a day. Are these units divisible into batches of 124?
Yes, 496 is divisible by 124.
Explanation
By dividing 496 by 124, we get an integer result of 4. This means that the 496 units can be perfectly divided into 4 batches of 124 units each.
Problem 3
An art exhibition has 992 paintings. Can these paintings be arranged in displays of 124 paintings each?
Yes, 992 is divisible by 124.
Explanation
When you divide 992 by 124, the result is exactly 8. Therefore, the paintings can be arranged into 8 displays of 124 paintings each without any leftover paintings.
Problem 4
A library has 620 books to be placed in stacks of 124. Can this be done evenly?
No, 620 is not divisible by 124.
Explanation
Dividing 620 by 124 results in approximately 5. This is not an exact integer, indicating that the books cannot be divided evenly into stacks of 124.
Problem 5
A charity received 1488 donations. Can these be grouped into packages of 124 donations each?
Yes, 1488 is divisible by 124.
Explanation
By dividing 1488 by 124, we find that the quotient is exactly 12, which confirms that the donations can be perfectly grouped into 12 packages of 124 donations each.
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FAQs on Divisibility Rule of 124
1.What is the divisibility rule for 124?
2.How many numbers are there between 1 and 1000 that are divisible by 124?
3.Is 248 divisible by 124?
4.What if one of the groups is not divisible by 124?
5.Does the divisibility rule of 124 apply to all integers?
6.How can children in Saudi Arabia use numbers in everyday life to understand Divisibility Rule of 124?
7.What are some fun ways kids in Saudi Arabia can practice Divisibility Rule of 124 with numbers?
8.What role do numbers and Divisibility Rule of 124 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Divisibility Rule of 124 skills?
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Important Glossaries for Divisibility Rule of 124
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results obtained when a number is multiplied by an integer. For example, multiples of 124 are 124, 248, 372, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Grouping: The process of dividing a number into sets of digits to apply divisibility rules.
- Remainder: The amount left over after division when the division is not exact.
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About BrightChamps in Saudi Arabia
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.
