Last updated on May 26th, 2025
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.
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.
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule 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.
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.
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.
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
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.
Is 3589 divisible by 179?
No, 3589 is not divisible by 179.
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.
Check the divisibility rule of 179 for 5370.
Yes, 5370 is divisible by 179.
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.
Is -895 divisible by 179?
Nil
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.
Can 2148 be divisible by 179 following the divisibility rule?
Yes, 2148 is divisible by 179.
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.
Check the divisibility rule of 179 for 1432.
No, 1432 is not divisible by 179.
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.
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.
: She loves to read number jokes and games.