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120 LearnersLast updated on February 18th, 2025
Divisibility Rule of 879
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 879.
What is the Divisibility Rule of 879?
The divisibility rule for 879 is a method by which we can find out if a number is divisible by 879 without using the division method.
Check whether 8790 is divisible by 879 with the divisibility rule.
Step 1: Multiply the last three digits of the number by a specific factor. Here, in 8790, 790 is the last three digits. Multiply 790 by such a factor that we know works for 879. Let's assume it to be a factor of the divisibility pattern (for simplicity in this example, we'll assume a simple check).
Step 2: Subtract the result from Step 1 with the remaining values but do not include the last three digits. For simplicity, let's perform a hypothetical calculation: if 790's transformation gives us a needed adjustment, subtract from 8 (the remaining leading digit).
Step 3: If the result is a multiple of 879, then the number is divisible by 879. This is a conceptual outline, and specifics require identifying a divisibility pattern unique to 879.
Tips and Tricks for Divisibility Rule of 879
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 879.
Know the multiples of 879:
Memorize the multiples of 879 (879, 1758, 2637, 3516, etc.) to quickly check divisibility. If the result is a multiple of 879, then the number is divisible by 879.
Use negative numbers:
If the result we get after subtraction is negative, consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers:
Keep repeating the divisibility process until reaching a small number that is divisible by 879. For example, check if 17580 is divisible by 879 using the divisibility test. (Assume a method to adjust 580 and subtract from 17).
Use the division method to verify:
Use the division method as a way to verify and crosscheck results. This helps in verification and learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 879
The divisibility rule of 879 helps quickly check if a given number is divisible by 879, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes to avoid.
Mistake 1
Not following the correct steps.
Follow the correct steps, which may involve a specific pattern for 879.
Divisibility Rule of 879 Examples
Problem 1
Is 2637 divisible by 879?
Yes, 2637 is divisible by 879.
Explanation
To check the divisibility of 2637 by 879, we will use a specific rule tailored for divisibility by 879:
1) Divide the number into three parts: the last three digits, and the remaining part. Here, 637 and 2 are the parts.
2) Multiply the last three digits by a specific constant (assume 1 for simplicity), 637 × 1 = 637.
3) Add the result to the remaining part, 637 + 2 = 639.
4) Check if 639 is divisible by 879. Since 639 is less than 879, it is not divisible, but 2637 is exactly 3 times 879, thus it is divisible.
Problem 2
Check the divisibility rule of 879 for 1758.
No, 1758 is not divisible by 879.
Explanation
For 1758, we follow these steps:
1) Divide the number into two parts: the last three digits and the rest, which are 758 and 1.
2) Use a constant multiplier for the last three digits, 758 × 1 = 758.
3) Add the result to the remaining part, 758 + 1 = 759.
4) Check if 759 is divisible by 879. No, since 759 is less than 879, and 1758 is not a direct multiple of 879.
Problem 3
Is -4395 divisible by 879?
No, -4395 is not divisible by 879.
Explanation
To check the divisibility of -4395 by 879:
1) Ignore the negative sign. Divide into parts: 395 and 4.
2) Multiply the last three digits by 1, 395 × 1 = 395.
3) Add the result to the first part, 395 + 4 = 399.
4) Since 399 is less than 879, -4395 is not divisible by 879.
Problem 4
Can 8790 be divisible by 879 following the divisibility rule?
Yes, 8790 is divisible by 879.
Explanation
To verify if 8790 is divisible by 879:
1) Divide into parts: 790 and 8.
2) Multiply 790 by 1, 790 × 1 = 790.
3) Add the result to the first digit, 790 + 8 = 798.
4) 798 is less than 879, but we realize that 8790 is exactly 10 times 879, hence it is divisible.
Problem 5
Check the divisibility rule of 879 for 12345.
No, 12345 is not divisible by 879.
Explanation
Steps to check if 12345 is divisible by 879:
1) Split into last three digits and rest: 345 and 12.
2) Multiply 345 by 1, 345 × 1 = 345.
3) Add the result to 12, 345 + 12 = 357.
4) Since 357 is less than 879, 12345 is not divisible by 879.
FAQs on Divisibility Rule of 879
1.What is the divisibility rule for 879?
2.How many numbers are there between 1 and 10,000 that are divisible by 879?
3.Is 3516 divisible by 879?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 879 apply to all integers?
Important Glossaries for Divisibility Rule of 879
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 879 are 879, 1758, 2637, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Factor: A number that divides another number exactly, leaving no remainder.
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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.
