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133 LearnersLast updated on February 12th, 2025
Divisibility Rule of 326
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 326.
What is the Divisibility Rule of 326?
The divisibility rule for 326 is a method by which we can find out if a number is divisible by 326 or not without using the division method. Check whether 652 is divisible by 326 with the divisibility rule.
Step 1: Take the last three digits of the number. In 652, the last three digits are 652 itself.
Step 2: Check if 652 is equal to or greater than 326. Since 652 is greater, proceed to the next step.
Step 3: Subtract 326 from 652. If the result is zero or a multiple of 326, the number is divisible by 326. Here, 652 - 326 = 326, which is a multiple of 326. Thus, 652 is divisible by 326.
Tips and Tricks for Divisibility Rule of 326
Understanding the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 326.
- Know the multiples of 326: Memorize the multiples of 326 (326, 652, 978, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 326, then the number is divisible by 326.
- Use significant digits: Focus on the last three digits of the number to simplify the checking process.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 326.
For example, check if 1956 is divisible by 326 using the divisibility test. Take the last three digits, 956, and subtract 326 to get 630. Subtract 326 again from 630 to get 304. Since 304 is not zero or a multiple of 326, 1956 is not divisible by 326.
- 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 and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 326
The divisibility rule of 326 helps us quickly check if a given number is divisible by 326, 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, which involve checking if the last three digits form a number equal to or greater than 326, then subtracting 326 repeatedly.
Divisibility Rule of 326 Examples
Problem 1
Is 652 divisible by 326?
Yes, 652 is divisible by 326.
Explanation
To check the divisibility of 652 by 326:
1) Divide the number directly by 326, 652 ÷ 326 = 2.
2) Since the quotient is an integer, 652 is divisible by 326.
Problem 2
Check the divisibility rule of 326 for 978.
No, 978 is not divisible by 326.
Explanation
To check the divisibility of 978 by 326:
1) Divide the number directly by 326, 978 ÷ 326 ≈ 3.
2) The quotient is not an integer, so 978 is not divisible by 326.
Problem 3
Is 1630 divisible by 326?
Yes, 1630 is divisible by 326.
Explanation
To check the divisibility of 1630 by 326:
1) Divide the number directly by 326, 1630 ÷ 326 = 5.
2) Since the quotient is an integer, 1630 is divisible by 326.
Problem 4
Can 489 be divisible by 326?
No, 489 is not divisible by 326.
Explanation
To check the divisibility of 489 by 326:
1) Divide the number directly by 326, 489 ÷ 326 ≈ 1.5.
2) The quotient is not an integer, so 489 is not divisible by 326.
Problem 5
Check the divisibility rule of 326 for 3260.
Yes, 3260 is divisible by 326.
Explanation
To check the divisibility of 3260 by 326:
1) Divide the number directly by 326, 3260 ÷ 326 = 10.
2) Since the quotient is an integer, 3260 is divisible by 326.
FAQs on Divisibility Rule of 326
1.What is the divisibility rule for 326?
2.How many numbers are there between 1 and 1000 that are divisible by 326?
3.Is 978 divisible by 326?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 326 apply to all the integers?
Important Glossaries for Divisibility Rule of 326
- 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 326 if the last three digits form a multiple of 326.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 326 are 326, 652, 978, etc.
- Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
- Integer: An integer is a whole number that can be positive, negative, or zero.
- Significant digits: The digits of a number that are used to determine its divisibility, especially the last three digits in the case of 326.
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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.
