168 LearnersLast updated on May 26th, 2025
Divisibility Rule of 779
The divisibility rule is a way to determine whether a number is divisible by another number without using traditional division. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 779.
What is the Divisibility Rule of 779?
The divisibility rule for 779 is a method that helps us determine if a number is divisible by 779 without using division. Check whether 466735 is divisible by 779 using this rule.
Step 1: Multiply the last digit of the number by 779. In 466735, 5 is the last digit. Multiply it by 779: 5 × 779 = 3895.
Step 2: Subtract the result from Step 1 from the remaining digits, excluding the last digit. That is, 46673 - 3895 = 42778.
Step 3: If the result from step 2 is a multiple of 779, then the number is divisible by 779. If it is not, then the number is not divisible by 779.
Tips and Tricks for Divisibility Rule of 779
Understanding the divisibility rule will help you master division. Let’s learn a few tips and tricks for the divisibility rule of 779.
Know the multiples of 779: Memorize the multiples of 779 (779, 1558, 2337, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 779, then the number is divisible by 779.
Use negative numbers: If the result we get after subtraction is negative, consider the absolute value for checking divisibility.
Repeat the process for large numbers: Keep repeating the divisibility process until you reach a small number that is divisible by 779. For example, check if 1558009 is divisible by 779 using the divisibility test. Multiply the last digit by 779, i.e., 9 × 779 = 7011. Subtract 7011 from 155800, resulting in 148789. Repeat the process for 148789. Multiply the last digit by 779, i.e., 9 × 779 = 7011. Subtract 7011 from 14878, resulting in 7867. Since 7867 is still large, repeat the process. Multiply the last digit by 779, i.e., 7 × 779 = 5453. Subtract 5453 from 786, resulting in 3213. Since 3213 is a multiple of 779, 1558009 is divisible by 779.
Use the division method to verify: You can use the division method to verify and cross-check your results. This will help verify your work and reinforce understanding.
Common Mistakes and How to Avoid Them in Divisibility Rule of 779
The divisibility rule of 779 helps us quickly check if a number is divisible by 779, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will address some common mistakes to help you avoid them.
Mistake 1
Not following the correct steps
Follow the correct steps: multiply the last digit by 779, subtract the result from the remaining digits excluding the last digit, and check if the result is a multiple of 779.
Divisibility Rule of 779 Examples
Problem 1
Is 1558 divisible by 779?
Yes, 1558 is divisible by 779.
Explanation
To determine if 1558 is divisible by 779, follow these steps:
1) Double the last digit of the new number, 9 × 2 = 18.
2) Subtract from the remaining digits, 13 - 18 = -5.
3) Since -5 is not divisible by 779, check back to the original problem, and realize that 1558 / 779 = 2, which confirms that 1558 is divisible by 779.
Problem 2
Check the divisibility rule of 779 for 3116.
Yes, 3116 is divisible by 779.
Explanation
To check the divisibility of 3116 by 779, follow these steps:
1) Double the last digit of the number, 6 × 2 = 12.
2) Subtract this result from the remaining digits, 311 - 12 = 299.
3) Check if 299 is a multiple of 779. It’s not, so we check if there’s a mistake in the division and find out that 3116 / 779 = 4, confirming divisibility.
Problem 3
Is 2337 divisible by 779?
No, 2337 is not divisible by 779.
Explanation
To determine if 2337 is divisible by 779, follow these steps:
1) Double the last digit of the number, 7 × 2 = 14.
2) Subtract this result from the remaining digits, 233 - 14 = 219.
3) Check if 219 is a multiple of 779. It is not. Further checking confirms that 2337 / 779 is not an integer, hence 2337 is not divisible by 779.
Problem 4
Can 4674 be divisible by 779 following the divisibility rule?
No, 4674 isn't divisible by 779.
Explanation
To check if 4674 is divisible by 779, follow these steps:
1) Double the last digit of the number, 4 × 2 = 8.
2) Subtract this result from the remaining digits, 467 - 8 = 459.
3) Check if 459 is a multiple of 779. It is not, confirming that 4674 is not divisible by 779.
Problem 5
Check the divisibility rule of 779 for 7790.
Yes, 7790 is divisible by 779.
Explanation
To check the divisibility of 7790 by 779, follow these steps:
1) Double the last digit of the number, 0 × 2 = 0.
2) Subtract this result from the remaining digits, 779 - 0 = 779.
3) Check if 779 is a multiple of 779. Yes, it is (779 × 1 = 779), confirming that 7790 is divisible by 779.
FAQs on Divisibility Rule of 779
1. What is the divisibility rule for 779?
2. How many numbers between 1 and 10000 are divisible by 779?
3.Is 3895 divisible by 779?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 779 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 779?
7.What are some fun ways kids in United States can practice Divisibility Rule of 779 with numbers?
8.What role do numbers and Divisibility Rule of 779 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 779 skills?
Important Glossaries for Divisibility Rule of 779
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without direct division. For example, a number is divisible by 2 if it ends in an even digit.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 779 are 779, 1558, 2337, etc.
- Integers: Whole numbers, including negative numbers and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one from another.
- Absolute value: The non-negative value of a number without regard to its sign.
Explore More numbers
Previous to Divisibility Rule of 779
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.
