190 LearnersLast updated on May 26th, 2025
Divisibility Rule of 679
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 679.
What is the Divisibility Rule of 679?
The divisibility rule for 679 is a method by which we can determine if a number is divisible by 679 without using the division method. Check whether 2037 is divisible by 679 with the divisibility rule.
Step 1: Check if the number is a multiple of 679. If you are familiar with the multiples of 679, you can quickly determine divisibility. In this case, since 2037 is not a multiple of 679, proceed to the next step.
Step 2: Multiply the last digit of the number by 2, here in 2037, 7 is the last digit, multiply it by 2. 7 × 2 = 14.
Step 3: Subtract the result from Step 2 from the remaining values but do not include the last digit. i.e., 203–14 = 189.
Step 4: If the result from step 3 is a multiple of 679, then the number is divisible by 679. Otherwise, it isn't. In this example, 189 is not a multiple of 679, so 2037 is not divisible by 679.
Tips and Tricks for Divisibility Rule of 679
Learning the divisibility rule will help you master division. Let’s learn a few tips and tricks for the divisibility rule of 679.
- Know the multiples of 679: Memorize the multiples of 679 (679, 1358, 2037, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 679, then the number is divisible by 679.
- Use negative numbers: If the result we get after subtraction is negative, we will avoid the symbol and consider it positive for checking the divisibility of a number.
- Repeat the process for large numbers: Keep repeating the divisibility process until you reach a small number that is divisible by 679.
For example, check if 4731 is divisible by 679 using the divisibility test. Multiply the last digit by 2, i.e., 1 × 2 = 2.
Subtract the remaining digits excluding the last digit by 2, 473–2 = 471.
Since 471 is not divisible by 679, 4731 is not divisible by 679.
- Use the division method to verify: You can use the division method as a way to verify and cross-check your results. This will help you verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 679
The divisibility rule of 679 helps us quickly check if a given number is divisible by 679, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Follow the correct steps: multiply the last digit by 2, then subtract the result from the remaining digits excluding the last digit, and check whether it is a multiple of 679.
Mistake 2
Including the last digit in subtraction.
Exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Repeat the process until you get the smallest number that is divisible by 679.
Mistake 4
Not considering the negative values.
Consider negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Practice regularly to avoid confusing or forgetting the steps.
Divisibility Rule of 679 Examples
Problem 1
Is 1358 divisible by 679?
Yes, 1358 is divisible by 679.
Explanation
To check the divisibility of 1358 by 679, we can use the following steps:
1) Divide the number by 679 directly: 1358 ÷ 679 = 2.
2) The result is an integer, which means 1358 is divisible by 679.
Problem 2
Check if 2716 is divisible by 679.
Yes, 2716 is divisible by 679.
Explanation
For checking the divisibility of 2716 by 679:
1) Divide the number by 679 directly: 2716 ÷ 679 = 4.
2) Since the result is an integer, 2716 is divisible by 679.
Problem 3
Is -2037 divisible by 679?
Yes, -2037 is divisible by 679.
Explanation
To check the divisibility of -2037 by 679:
1) Remove the negative sign and divide 2037 by 679: 2037 ÷ 679 = 3.
2) The result is an integer, so -2037 is divisible by 679.
Problem 4
Can 1000 be divisible by 679?
No, 1000 is not divisible by 679.
Explanation
To determine if 1000 is divisible by 679:
1) Divide 1000 by 679 directly: 1000 ÷ 679 ≈ 1.472.
2) The result is not an integer, indicating that 1000 is not divisible by 679.
Problem 5
Check the divisibility rule of 679 for 6790.
Yes, 6790 is divisible by 679.
Explanation
To verify the divisibility of 6790 by 679:
1) Divide 6790 by 679: 6790 ÷ 679 = 10.
2) The result is an integer, which confirms that 6790 is divisible by 679.
FAQs on Divisibility Rule of 679
1.What is the divisibility rule for 679?
2.How many numbers are there between 1 and 10,000 that are divisible by 679?
3.Is 2037 divisible by 679?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 679 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 679?
7.What are some fun ways kids in United States can practice Divisibility Rule of 679 with numbers?
8.What role do numbers and Divisibility Rule of 679 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 679 skills?
Important Glossaries for Divisibility Rule of 679
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results obtained by multiplying a number by an integer, e.g., multiples of 679 are 679, 1358, 2037, etc.
- Integers: Numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the accuracy of calculations, often using a different method.
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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.
