212 LearnersLast updated on May 26th, 2025
Divisibility Rule of 787
The divisibility rule is a way to determine 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 787.
What is the Divisibility Rule of 787?
The divisibility rule for 787 is a method by which we can find out if a number is divisible by 787 or not without using the division method. Check whether 1574 is divisible by 787 with the divisibility rule.
Step 1: Divide the number into groups of three digits from the right. Here, 1574 becomes 001 and 574.
Step 2: Subtract the second group from the first group. i.e., 001 - 574.
Step 3: If the result is divisible by 787 or equal to 0, then the number is divisible by 787. If the result from step 2 isn't divisible by 787, then the number isn't divisible by 787.
Tips and Tricks for Divisibility Rule of 787
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 787
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Know the multiples of 787:
Memorize the multiples of 787 (787, 1574, 2361, 3148, etc.) to quickly check the divisibility.
Use negative numbers:
If the result after the subtraction is negative, consider it as positive for checking divisibility.
Repeat the process for large numbers:
Keep repeating the divisibility process until you reach a small number that is divisible by 787. For example: Check if 2361 is divisible by 787 using the divisibility test.
Divide into groups, 002 and 361. Subtract the second group from the first, 002 - 361 = -359. Consider the absolute value, 359 is not divisible by 787. Therefore, 2361 is not divisible by 787.
Use the division method to verify:
Use the division method to verify and crosscheck your results. This will help you confirm your findings.
Common Mistakes and How to Avoid Them in Divisibility Rule of 787
The divisibility rule of 787 helps us quickly check if a given number is divisible by 787, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes to help you avoid them.
Mistake 1
Not following the correct steps.
Follow the correct steps: divide into groups of three digits, subtract the second group from the first, and check if the result is divisible by 787.
Mistake 2
Including more digits in subtraction.
Exclude all but the first three digits and the next group of three when performing the subtraction.
Mistake 3
Not repeating the process when the result is large.
Repeat the process until you get a small number that is divisible by 787.
Mistake 3
Not repeating the process when the result is large.
Repeat the process until you get a small number that is divisible by 787.
Mistake 4
Not considering negative values.
Consider negative values as positive when checking for divisibility.
Mistake 5
Confusing the steps.
Practice regularly to avoid confusion and ensure the steps are followed correctly.
Divisibility Rule of 787 Examples
Problem 1
Is 2361 divisible by 787?
Yes, 2361 is divisible by 787.
Explanation
To check if 2361 is divisible by 787, let's apply a unique approach.
1) Recognize that 2361 is 3 times 787.
2) 787 × 3 = 2361, showing that 2361 is exactly divisible by 787.
Problem 2
Check the divisibility rule of 787 for 1574.
No, 1574 is not divisible by 787.
Explanation
To determine divisibility, consider the relationship between the numbers:
1) Divide 1574 by 787, which results in approximately 2.
2) Since the result is not an integer, 1574 is not divisible by 787.
Problem 3
Is 0 divisible by 787?
Yes, 0 is divisible by 787.
Explanation
Any number, including 787, divides 0 without a remainder.
1) 0 divided by 787 equals 0, a whole number.
Problem 4
Can 3148 be divisible by 787 following the divisibility rule?
Yes, 3148 is divisible by 787.
Explanation
Let's break down the relationship:
1) Recognize that 3148 is 4 times 787.
2) 787 × 4 = 3148, confirming that 3148 is exactly divisible by 787.
Problem 5
Check the divisibility rule of 787 for 4722.
No, 4722 is not divisible by 787.
Explanation
To verify, examine the division:
1) Divide 4722 by 787, resulting in approximately 6.
2) Since the result is not an integer, 4722 is not divisible by 787.
FAQs on Divisibility Rule of 787
1. What is the divisibility rule for 787?
2.How many numbers are there between 1 and 1000 that are divisible by 787?
3. Is 1574 divisible by 787?
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6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 787?
7.What are some fun ways kids in United States can practice Divisibility Rule of 787 with numbers?
8.What role do numbers and Divisibility Rule of 787 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 787 skills?
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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.
