107 LearnersLast updated on May 26th, 2025
Divisibility Rule of 179
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 179.
What is the Divisibility Rule of 179?
The divisibility rule for 179 is a method by which we can find out if a number is divisible by 179 or not without using the division method. Check whether 3229 is divisible by 179 with the divisibility rule.
Step 1: Multiply the last digit of the number by 5, here in 3229, 9 is the last digit, multiply it by 5. 9 × 5 = 45
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 322–45 = 277.
Step 3: As it is shown that 277 is not a multiple of 179, therefore, the number is not divisible by 179. If the result from step 2 is a multiple of 179, then the number is divisible by 179.
Tips and Tricks for Divisibility Rule of 179
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 179.
- Know the multiples of 179:
Memorize the multiples of 179 (179, 358, 537, 716, 895…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 179, then the number is divisible by 179.
- Use the negative numbers:
If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
- Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 179.
For example: Check if 32722 is divisible by 179 using the divisibility test.
Multiply the last digit by 5, i.e., 2 × 5 = 10.
Subtract the remaining digits excluding the last digit by 10, 3272–10 = 3262.
Still, 3262 is a large number, hence we will repeat the process again and multiply the last digit by 5, 2 × 5 = 10.
Now subtracting 10 from the remaining numbers excluding the last digit, 326–10 = 316.
As 316 is not a multiple of 179, 32722 is not divisible by 179.
- Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 179
The divisibility rule of 179 helps us to quickly check if the given number is divisible by 179, but common mistakes like calculation errors lead to incorrect calculations. 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 that are multiplying the last digit by 5 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 179.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have got a large number as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 179.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps. To avoid the error, students should practice regularly.
Divisibility Rule of 179 Examples
Problem 1
Is 3589 divisible by 179?
No, 3589 is not divisible by 179.
Explanation
To check if 3589 is divisible by 179, follow these steps:
1) Break down the number into parts that can be more easily checked or use estimation techniques to see if it aligns with multiples of 179.
2) Estimating or breaking down shows that 3589 does not fit into the multiplication table of 179 evenly.
3) Therefore, it isn't divisible by 179.
Problem 2
Check the divisibility rule of 179 for 5370.
Yes, 5370 is divisible by 179.
Explanation
For checking the divisibility rule of 179 for 5370:
1) You can verify by dividing directly to see if a whole number results.
2) Divide 5370 by 179, which results in 30 exactly.
3) Since it divides evenly, 5370 is divisible by 179.
Problem 3
Is -895 divisible by 179?
Nil
Explanation
To check if -895 is divisible by 179:
1) Remove the negative sign for simplicity and test 895 for divisibility.
2) Attempt division or estimation to see if 895 fits into the multiples of 179.
3) Since 895 divided by 179 does not result in a whole number, it is not divisible.
Problem 4
Can 2148 be divisible by 179 following the divisibility rule?
Yes, 2148 is divisible by 179.
Explanation
To check if 2148 is divisible by 179:
1) Directly divide 2148 by 179 to see if the quotient is an integer.
2) The division results in 12, which is a whole number.
3) Hence, 2148 is divisible by 179.
Problem 5
Check the divisibility rule of 179 for 1432.
No, 1432 is not divisible by 179.
Explanation
To check the divisibility rule of 179 for 1432:
1) Divide 1432 by 179 to see if it results in an integer.
2) 1432 divided by 179 does not yield a whole number.
3) Therefore, 1432 is not divisible by 179.
FAQs on Divisibility Rule of 179
1.What is the divisibility rule for 179?
2.How many numbers are there between 1 and 1000 that are divisible by 179?
3.Is 358 divisible by 179?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 179 apply to all the integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 179?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 179 with numbers?
8.What role do numbers and Divisibility Rule of 179 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 179 skills?
Important Glossaries for Divisibility Rule of 179
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 179 if it passes the specific steps outlined for checking.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 179 are 179, 358, 537, 716, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
- Verification: The process of checking the accuracy of a result or calculation, often by using an alternative method or process to confirm the outcome.
Explore More numbers
![Important Math Links Icon]()
Previous to Divisibility Rule of 179
![Important Math Links Icon]()
Next to Divisibility Rule of 179
About BrightChamps inUnited Arab Emirates
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.
