196 LearnersLast updated on May 26th, 2025
Divisibility Rule of 748
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 748.
What is the Divisibility Rule of 748?
The divisibility rule for 748 is a method by which we can determine if a number is divisible by 748 without using the division method.
Check whether 1496 is divisible by 748 using the divisibility rule.
Step 1: Divide the number by 748. If the remainder is 0, the number is divisible by 748. For example, 1496 divided by 748 equals 2 with a remainder of 0, which means 1496 is divisible by 748.
Tips and Tricks for Divisibility Rule of 748
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 748.
Know the multiples of 748:
Memorize the multiples of 748 (748, 1496, 2244, 2992, etc.) to quickly check divisibility. If a number matches any of these multiples, it is divisible by 748.
Use approximation:
If a number is close to a multiple of 748, adding or subtracting a small number might make it divisible by 748.
Repeat the process for large numbers:
Students should keep repeating the divisibility process with large numbers until they encounter a number they recognize as a multiple of 748.
Use the division method to verify:
Students can use the division method to verify and cross-check their results. This will help them to confirm their findings and learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 748
The divisibility rule of 748 helps us quickly check if a given number is divisible by 748, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not performing the division correctly.
Ensure the division is performed accurately and check if the remainder is 0.
Mistake 2
Forgetting to check the remainder.
Always make sure to check if the remainder after division is 0, confirming divisibility.
Mistake 3
Not repeating the process for larger numbers.
Continue the division process with larger numbers until a recognizable multiple of 748 is found.
Mistake 4
Confusing with other divisibility rules.
Focus on the specific rule for 748, which involves direct division and checking the remainder.
Mistake 5
Misinterpreting the results.
Practice interpreting division outcomes correctly, understanding when a number is or isn't divisible by 748.
Divisibility Rule of 748 Examples
Problem 1
Is 1496 divisible by 748?
Yes, 1496 is divisible by 748.
Explanation
To determine if 1496 is divisible by 748, let's apply the divisibility rule for 748:
1) Split the number into two parts: 1 and 496.
2) Check if 496 is divisible by 748. 496 is not greater than or equal to 748, so it is not divisible.
3) Therefore, 1496 is divisible by 748 because the number is exactly twice 748 (748 x 2 = 1496).
Problem 2
Check the divisibility rule of 748 for 2992.
Yes, 2992 is divisible by 748.
Explanation
For checking the divisibility rule of 748 for 2992:
1) Divide the number into two sections: 2 and 992.
2) Check if 992 is divisible by 748. 992 is greater than 748, and when subtracted by 748, it leaves 244.
3) Since 244 is a remainder, 2992 is not divisible by 748. However, 2992 is exactly four times 748 (748 x 4 = 2992).
Problem 3
Is -748 divisible by 748?
Yes, -748 is divisible by 748.
Explanation
To check if -748 is divisible by 748, we ignore the negative sign and check the divisibility:
1) The absolute value is 748, which is obviously divisible by 748.
2) Therefore, -748 is divisible by 748.
Problem 4
Can 1234 be divisible by 748 following the divisibility rule?
No, 1234 isn't divisible by 748.
Explanation
To check if 1234 is divisible by 748 by the divisibility rule, we follow these steps:
1) Break the number into 1 and 234.
2) Check if 234 is divisible by 748. Since 234 is less than 748, it is not divisible.
3) Thus, 1234 is not divisible by 748.
Problem 5
Check the divisibility rule of 748 for 2244.
Yes, 2244 is divisible by 748.
Explanation
To check the divisibility rule of 748 for 2244:
1) Divide the number into two parts: 2 and 244.
2) Check if 244 is divisible by 748. Since 244 is less than 748, it is not divisible.
3) However, 2244 is exactly three times 748 (748 x 3 = 2244), making it divisible by 748.
FAQs on Divisibility Rule of 748
1.What is the divisibility rule for 748?
2.How many numbers are there between 1 and 3000 that are divisible by 748?
3.Is 2992 divisible by 748?
4.What if I get a remainder after dividing?
5.Does the divisibility rule of 748 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 748?
7.What are some fun ways kids in India can practice Divisibility Rule of 748 with numbers?
8.What role do numbers and Divisibility Rule of 748 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 748 skills?
Important Glossaries for Divisibility Rule of 748
- Divisibility Rule: A set of rules used to determine whether a number is divisible by another number without performing the full division.
- Multiples: Results obtained when a number is multiplied by an integer. For example, multiples of 748 are 748, 1496, 2244, etc.
- Remainder: The amount left over after division when one number does not divide the other exactly.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Approximation: A method of finding a number close to a given value for ease of calculation.
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About BrightChamps in India
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.
