168 LearnersLast updated on May 26th, 2025
Divisibility Rule of 777
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 777.
What is the Divisibility Rule of 777?
The divisibility rule for 777 is a method by which we can find out if a number is divisible by 777 or not without using the division method. Check whether 2331 is divisible by 777 with the divisibility rule.
Step 1: Divide the number into three parts from right to left, each containing three digits. For 2331, consider it as 002 and 331 (adding leading zeros if necessary).
Step 2: Multiply the first group (002) by 1, the second group (331) by 2, and so on if there are more groups. Then sum these results. 002 × 1 = 2, 331 × 2 = 662.
Step 3: Add the products from Step 2. 2 + 662 = 664.
Step 4: If the sum from Step 3 is a multiple of 777, then the original number is divisible by 777. If not, it isn’t. In this case, 664 is not a multiple of 777, so 2331 is not divisible by 777.
Tips and Tricks for Divisibility Rule of 777
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 777.
Know the multiples of 777:
Memorize the multiples of 777 (777, 1554, 2331, 3108…etc.) to quickly check divisibility. If the result from the sum is a multiple of 777, then the number is divisible by 777.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 777.
For example: Check if 7770 is divisible by 777 using the divisibility test.
Separate the number into groups: 007, 770. Multiply the groups: 007 × 1 = 7, 770 × 2 = 1540. Add the results: 7 + 1540 = 1547. Since 1547 is not a multiple of 777, 7770 is not divisible by 777.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 777
The divisibility rule of 777 helps us to quickly check if the given number is divisible by 777, 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 of dividing the number into groups of three digits, multiplying each group by increasing integers, and checking whether the sum is a multiple of 777.
Divisibility Rule of 777 Examples
Problem 1
Is the number of starfish in the marine exhibit, 777, divisible by 777?
Yes, 777 is divisible by 777.
Explanation
Since any number is divisible by itself, 777 is divisible by 777.
Problem 2
A large shipment of 1554 books arrived at the library. Can the number of books be evenly divided into stacks of 777 using the divisibility rule?
Yes, 1554 is divisible by 777.
Explanation
To determine if 1554 is divisible by 777, divide it by 777. Since 1554 ÷ 777 = 2, and there is no remainder, 1554 is divisible by 777.
Problem 3
A museum has 2331 ancient coins. Is it possible to display them in groups of 777 using the divisibility rule?
Yes, 2331 is divisible by 777.
Explanation
To check if 2331 is divisible by 777, perform the division 2331 ÷ 777. Since the result is 3 with no remainder, 2331 is divisible by 777.
Problem 4
The city plans to plant 3108 trees along the new highway. Can these trees be divided into clusters of 777 using the divisibility rule?
No, 3108 is not divisible by 777.
Explanation
To check the divisibility, divide 3108 by 777. The result is 4 with a remainder, indicating that 3108 is not divisible by 777.
Problem 5
A concert venue has 7777 seats. Is the number of seats divisible by 777 using the divisibility rule?
No, 7777 is not divisible by 777.
Explanation
To determine divisibility, divide 7777 by 777. The result is not an integer, indicating that 7777 is not divisible by 777.
FAQs on Divisibility Rule of 777
1.What is the divisibility rule for 777?
2.How many numbers are there between 1 and 10000 that are divisible by 777?
3.Is 777 divisible by 777?
4.What if I get 0 after summing?
5.Does the divisibility rule of 777 apply to all the integers?
6.Important Glossaries for Divisibility Rule of 777
7.How can children in United States use numbers in everyday life to understand Divisibility Rule of 777?
8.What are some fun ways kids in United States can practice Divisibility Rule of 777 with numbers?
9.What role do numbers and Divisibility Rule of 777 play in helping children in United States develop problem-solving skills?
10.How can families in United States create number-rich environments to improve Divisibility Rule of 777 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.
