158 LearnersLast updated on May 26th, 2025
Divisibility Rule of 173
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 173.
What is the Divisibility Rule of 173?
The divisibility rule for 173 is a method by which we can find out if a number is divisible by 173 or not without using the division method. Check whether 20779 is divisible by 173 with the divisibility rule.
Step 1: Multiply the last digit of the number by 173, here in 20779, 9 is the last digit, multiply it by 173. 9 × 173 = 1557.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 2077 - 1557 = 520.
Step 3: As it is shown that 520 is not divisible by 173, therefore, the number is not divisible by 173. If the result from step 2 is a multiple of 173, then the number is divisible by 173.
Tips and Tricks for Divisibility Rule of 173
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 173.
- Know the multiples of 173: Memorize the multiples of 173 (173, 346, 519, 692...etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 173, then the number is divisible by 173.
- 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 173.
For example: Check if 91846 is divisible by 173 using the divisibility test. Multiply the last digit by 173, i.e., 6 × 173 = 1038.
Subtract the remaining digits excluding the last digit by 1038, 9184 - 1038 = 8146.Still, 8146 is a large number, hence we will repeat the process again and multiply the last digit by 173, 6 × 173 = 1038.
Now subtracting 1038 from the remaining numbers excluding the last digit, 814 - 1038 = -224. Since 224 is not a multiple of 173, 91846 is not divisible by 173.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 173
The divisibility rule of 173 helps us to quickly check if the given number is divisible by 173, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that involve multiplying the last digit with 173 and then subtracting the result from the remaining digits excluding the last digit, and checking whether it is a multiple of 173.
Divisibility Rule of 173 Examples
Problem 1
Is 346 divisible by 173?
Yes, 346 is divisible by 173.
Explanation
To check if 346 is divisible by 173, use the divisibility rule.
1) Double the last digit, 6 × 2 = 12.
2) Subtract this result from the remaining digits, 34 - 12 = 22.
3) Check if 22 is a multiple of 173. No, but since the subtraction rule doesn't directly apply to 173, verify manually: 346 ÷ 173 = 2. Therefore, 346 is divisible by 173.
Problem 2
Check the divisibility rule of 173 for 519.
No, 519 is not divisible by 173.
Explanation
For checking the divisibility of 173 for 519,
1) Double the last digit, 9 × 2 = 18.
2) Subtract the result from the remaining digits, 51 - 18 = 33.
3) Check if 33 is a multiple of 173. No, and 519 divided by 173 gives a non-integer, confirming it is not divisible by 173.
Problem 3
Is -173 divisible by 173?
Yes, -173 is divisible by 173.
Explanation
To check if -173 is divisible by 173, remove the negative sign and check:
1) Since -173 becomes 173, and any number is divisible by itself, confirm that 173 ÷ 173 = 1. Therefore, -173 is divisible by 173.
Problem 4
Can 519 be divisible by 173 following the divisibility rule?
No, 519 isn't divisible by 173.
Explanation
To check if 519 is divisible by 173,
1) Double the last digit, 9 × 2 = 18.
2) Subtract this from the remaining digits, 51 - 18 = 33.
3) Check if 33 is a multiple of 173. No, and 519 ÷ 173 is not an integer.
Problem 5
Check the divisibility rule of 173 for 1730.
Yes, 1730 is divisible by 173.
Explanation
To check the divisibility of 173 for 1730,
1) Double the last digit, 0 × 2 = 0.
2) Subtract this result from the remaining digits, 173 - 0 = 173.
3) Since 173 is a multiple of itself, 1730 is divisible by 173.
FAQs on Divisibility Rule of 173
1.What is the divisibility rule for 173?
2.How many numbers are there between 1 and 1000 that are divisible by 173?
3.Is 346 divisible by 173?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 173 apply to all the integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 173?
7.What are some fun ways kids in United States can practice Divisibility Rule of 173 with numbers?
8.What role do numbers and Divisibility Rule of 173 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 173 skills?
Important Glossaries for Divisibility Rule of 173
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 173 are 173, 346, 519, 692...
- Integers: Integers are the numbers that include all 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: Verification is the process of confirming the accuracy of a result, often by using an alternative method such as division to check the outcome of a divisibility test.
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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.
