184 LearnersLast updated on May 26th, 2025
Divisibility Rule of 163
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 calculations, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 163.
What is the Divisibility Rule of 163?
The divisibility rule for 163 is a method by which we can find out if a number is divisible by 163 or not without using the division method. Check whether 16300 is divisible by 163 using the divisibility rule.
Step 1: Multiply the last digit of the number by 10. Here, in 16300, 0 is the last digit. Multiply it by 10. 0 × 10 = 0
Step 2: Subtract the result from Step 1 from the remaining values, excluding the last digit. i.e., 1630 - 0 = 1630.
Step 3: Since 1630 is a multiple of 163, the number is divisible by 163. If the result from step 2 isn't a multiple of 163, then the number isn't divisible by 163.
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Tips and Tricks for Divisibility Rule of 163
Learning the divisibility rule will help students master division. Let’s learn a few tips and tricks for the divisibility rule of 163.
- Know the multiples of 163: Memorize the multiples of 163 (163, 326, 489, 652, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 163, then the number is divisible by 163.
- Use the negative numbers: If the result we get after the subtraction is negative, we will treat it as positive for checking divisibility.
- Repeat the process for larger numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 163.
For example, check if 32600 is divisible by 163 using the divisibility test. Multiply the last digit by 10, i.e., 0 × 10 = 0.
Subtract the remaining digits, excluding the last digit, by 0, 3260 - 0 = 3260. Still, 3260 is a large number, hence we will repeat the process again. Multiply the last digit by 10, 0 × 10 = 0.
Now subtract 0 from the remaining numbers excluding the last digit, 326 - 0 = 326. As 326 is a multiple of 163, 32600 is divisible by 163.
- 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 verify their answers and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 163
The divisibility rule of 163 helps us quickly check if a given number is divisible by 163, 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.
Students should follow the correct steps: multiply the last digit by 10 and then subtract the result from the remaining digits excluding the last digit, checking whether it is a multiple of 163.
Mistake 2
Including the last digit in subtraction.
Students 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 obtaining a large result. The process should be repeated until we get the smallest number that is divisible by 163.
Mistake 4
Not considering the negative values.
Students should treat negative results as positive while checking for divisibility, as the rule applies to negative values too.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them; to avoid this, students should practice regularly.
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Divisibility Rule of 163 Examples
Problem 1
Is 489 divisible by 163?
Yes, 489 is divisible by 163.
Explanation
To check if 489 is divisible by 163, we follow these steps:
1) Determine if the number can be expressed as \(163 \times k\), where \(k\) is an integer.
2) Calculate \(489 \div 163 = 3\).
3) Verify that the result is an integer and that \(163 \times 3 = 489\). Yes, 489 is divisible by 163.
Problem 2
Check if 326 is divisible by 163.
Yes, 326 is divisible by 163.
Explanation
To determine if 326 is divisible by 163:
1) Calculate \(326 \div 163 = 2\).
2) Verify the result is an integer and that \(163 \times 2 = 326\).
3) As the result is a whole number, 326 is divisible by 163.
Problem 3
Is -652 divisible by 163?
Yes, -652 is divisible by 163.
Explanation
To check divisibility of -652 by 163:
1) Remove the negative sign and check \(652 \div 163\).
2) Calculate \(652 \div 163 = 4\).
3) Verify that \(163 \times 4 = 652\).
4) Since it is a whole number, -652 is divisible by 163.
Problem 4
Is 820 divisible by 163?
No, 820 is not divisible by 163.
Explanation
To verify divisibility of 820 by 163, we perform:
1) Calculate \(820 \div 163 \approx 5.03\).
2) Since the result is not a whole number, 820 is not divisible by 163.
Problem 5
Check if 1304 is divisible by 163.
Yes, 1304 is divisible by 163.
Explanation
To check divisibility of 1304 by 163:
1) Calculate \(1304 \div 163 = 8\).
2) Confirm that \(163 \times 8 = 1304\).
3) As the result is a whole number, 1304 is divisible by 163.
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FAQs on Divisibility Rule of 163
1.What is the divisibility rule for 163?
2.How many numbers are there between 1 and 1000 that are divisible by 163?
3.Is 326 divisible by 163?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 163 apply to all integers?
6.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 163?
7.What are some fun ways kids in Australia can practice Divisibility Rule of 163 with numbers?
8.What role do numbers and Divisibility Rule of 163 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Divisibility Rule of 163 skills?
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Important Glossaries for Divisibility Rule of 163
- Divisibility Rule: The set of rules used to determine whether a number is divisible by another number. For example, a number is divisible by 163 if it follows the defined steps for 163.
- Multiples: Multiples are the results obtained by multiplying a number by an integer. For example, multiples of 163 are 163, 326, 489, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the accuracy of a result, often by using a secondary method such as division to ensure correctness.
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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.
