718 LearnersLast updated on May 26th, 2025
Divisibility Rule of 788
The divisibility rule is a way to determine whether a number is divisible by another number without performing the division method. In real life, we use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will explore the divisibility rule of 788.
What is the Divisibility Rule of 788?
The divisibility rule for 788 is a method to determine if a number is divisible by 788 without performing the division method. Let's check whether 1576 is divisible by 788 using the divisibility rule.
Step 1: Check if the number is divisible by both 4 and 197, as 4 × 197 = 788.
Step 2: For divisibility by 4, the last two digits of the number should form a number divisible by 4. Here, 76 is divisible by 4.
Step 3: For divisibility by 197, multiply the last digit of the number by 9 (a factor derived from 1001 - 197) and subtract this from the rest of the number. For 1576, multiply 6 by 9 to get 54, then subtract 54 from 157, i.e., 157 - 54 = 103.
Step 4: Check if the result, 103, is divisible by 197. Since it is not, 1576 is not divisible by 788.
Tips and Tricks for Divisibility Rule of 788
Learning the divisibility rule helps kids master division. Let’s look at some tips and tricks for the divisibility rule of 788.
Know the factors of 788:
Break down 788 into its prime factors: 788 = 4 × 197. Ensure the number is divisible by both factors.
Practice divisibility by 4:
To check divisibility by 4, memorize that the last two digits should form a number divisible by 4.
Use complementary factors for 197:
For divisibility by 197, use complementary techniques like multiplying the last digit by 9 and subtracting from the remaining digits.
Repeat the process for large numbers:
For large numbers, repeat the divisibility process until you reach smaller numbers that can be easily checked.
Verify using the division method:
Use the division method to verify and crosscheck results, reinforcing understanding and learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 788
The divisibility rule of 788 helps us quickly check if a given number is divisible by 788, but common mistakes, like calculation errors, can lead to incorrect conclusions. Here we will explore some common mistakes and how to avoid them.
Mistake 1
Not checking divisibility by both factors.
Ensure the number is divisible by both 4 and 197.
Mistake 2
Incorrectly applying divisibility rules.
Follow the correct steps for checking divisibility by 4 and 197.
Mistake 3
Not repeating the process for large numbers.
Continue the process until you reach a smaller number that can be easily verified.
Mistake 4
Ignoring complementary factors.
Use complementary factors like multiplying the last digit and subtracting for divisibility by 197.
Mistake 5
Confusing the steps.
Practice regularly to remember the steps and avoid confusion.
Divisibility Rule of 788 Examples
Problem 1
Can 3152 be divided evenly by 788?
No, 3152 is not divisible by 788.
Explanation
To check divisibility by 788, we need to perform the division directly or use known factors of 788.
Since 3152 divided by 788 does not result in a whole number, 3152 is not divisible by 788.
Problem 2
Verify if 6304 is divisible by 788.
Yes, 6304 is divisible by 788.
Explanation
We can verify by division or using known factors of 788.
Performing the division, 6304 divided by 788 equals 8, which is a whole number. Therefore, 6304 is divisible by 788.
Problem 3
Is 1576 divisible by 788?
Yes, 1576 is divisible by 788.
Explanation
To check, divide 1576 by 788.
The result is 2, which is a whole number, indicating that 1576 is divisible by 788.
Problem 4
Test if 9472 is divisible by 788.
Yes, 9472 is divisible by 788.
Explanation
Dividing 9472 by 788 gives 12, a whole number.
Thus, 9472 is divisible by 788.
Problem 5
Determine if 5000 is divisible by 788.
No, 5000 is not divisible by 788.
Explanation
Performing the division gives approximately 6.349, which is not a whole number.
Therefore, 5000 is not divisible by 788.
FAQs on Divisibility Rule of 788
1.What is the divisibility rule for 788?
2.How can I quickly check if a number is divisible by 4?
3.Is 1576 divisible by 788?
4.How can children in United States use numbers in everyday life to understand Divisibility Rule of 788?
5.What are some fun ways kids in United States can practice Divisibility Rule of 788 with numbers?
6.What role do numbers and Divisibility Rule of 788 play in helping children in United States develop problem-solving skills?
7.How can families in United States create number-rich environments to improve Divisibility Rule of 788 skills?
Important Glossaries for Divisibility Rule of 788
- Divisibility Rule: A set of guidelines to determine if one number is divisible by another without performing division.
- Factors: Numbers that divide another number completely without leaving a remainder.
- Prime Factors: The prime numbers that multiply together to form a given number.
- Subtraction: The operation of finding the difference between numbers.
- Verification: The process of confirming the accuracy of a result by using additional methods, such as division.
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About BrightChamps in United States
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.
