215 LearnersLast updated on May 26th, 2025
The Divisibility Rule of 325
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 325.
What is the Divisibility Rule of 325?
The divisibility rule for 325 is a method by which we can find out if a number is divisible by 325 or not without using the division method. Check whether 16250 is divisible by 325 using the divisibility rule.
Step 1: Check if the number is divisible by both 25 and 13, as 325 = 25 × 13.
Step 2: For divisibility by 25, check if the last two digits of the number are 00, 25, 50, or 75. Here, 50 is the last two digits of 16250, so it is divisible by 25.
Step 3: For divisibility by 13, use the rule that involves subtracting 9 times the last digit from the rest of the number, then check if the result is divisible by 13. For 16250, the last digit is 0, so no subtraction is needed, and we check 1625.
Step 4: Continue with 1625. Subtract 9 times the last digit (5), i.e., 162 - 45 = 117. Since 117 is divisible by 13, 16250 is divisible by 325.
Tips and Tricks for Divisibility Rule of 325
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 325.
- Know the multiples of 325: Memorize the multiples of 325 (325, 650, 975, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 325, then the number is divisible by 325.
- Use the divisibility rules of 25 and 13: Ensure the number is divisible by both 25 and 13 separately as a quick check.
- Repeat the process for large numbers: Students should keep repeating the divisibility process for each factor of 325 until they reach a small number that is divisible by both 25 and 13.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 325
The divisibility rule of 325 helps us quickly check if a given number is divisible by 325, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and solutions.
Mistake 1
Not checking divisibility by both 25 and 13.
Ensure to check divisibility by both 25 and 13, as 325 is a product of these two numbers.
Mistake 2
Including incorrect digits in subtraction.
Students should remember to only use the correct digits according to the divisibility rule for 13.
Mistake 3
Not repeating the process when the result is large.
Continue applying the divisibility rules until a small enough number is reached to check divisibility.
Mistake 4
Ignoring the rules for individual factors.
Follow the rules for both 25 and 13 separately to ensure divisibility by 325.
Mistake 5
Confusing the steps.
Practice regularly to avoid confusion and ensure all steps are followed correctly.
Divisibility Rule of 325 Examples
Problem 1
Is 650 divisible by 325?
Yes, 650 is divisible by 325.
Explanation
To determine if 650 is divisible by 325, follow these steps:
1) Double the last two digits of the number, 50 × 2 = 100.
2) Subtract the result from the remaining digits, excluding the last two digits, 6 - 100 = -94.
3) Since -94 is not divisible by 325, check if the original number is divisible by 325. Since 650 ÷ 325 = 2, it is divisible.
Problem 2
Check the divisibility rule of 325 for 975.
Yes, 975 is divisible by 325.
Explanation
To check if 975 is divisible by 325:
1) Double the last two digits, 75 × 2 = 150.
2) Subtract the result from the remaining digits, excluding the last two digits, 9 - 150 = -141.
3) Since -141 is not divisible by 325, check the division of the original number directly. Since 975 ÷ 325 = 3, it is divisible.
Problem 3
Is 1300 divisible by 325?
Yes, 1300 is divisible by 325.
Explanation
For checking the divisibility of 1300 by 325:
1) Double the last two digits, 00 × 2 = 0.
2) Subtract the result from the remaining digits, 13 - 0 = 13.
3) Since 13 is not divisible by 325, directly divide the original number. Since 1300 ÷ 325 = 4, it is divisible.
Problem 4
Can 1450 be divisible by 325 following the divisibility rule?
No, 1450 is not divisible by 325.
Explanation
To check if 1450 is divisible by 325:
1) Double the last two digits, 50 × 2 = 100.
2) Subtract the result from the remaining digits, 14 - 100 = -86.
3) Since -86 is not divisible by 325 and 1450 ÷ 325 is not a whole number, 1450 is not divisible.
Problem 5
Check the divisibility rule of 325 for 9750.
Yes, 9750 is divisible by 325.
Explanation
To see if 9750 is divisible by 325:
1) Double the last two digits, 50 × 2 = 100.
2) Subtract the result from the remaining digits, 97 - 100 = -3.
3) Since -3 is not divisible by 325, directly dividing 9750 by 325 gives a whole number (30), confirming divisibility.
FAQs on Divisibility Rule of 325
1.What is the divisibility rule for 325?
2.How many numbers are there between 1 and 1000 that are divisible by 325?
3.Is 650 divisible by 325?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 325 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand The Divisibility Rule of 325?
7.What are some fun ways kids in United Kingdom can practice The Divisibility Rule of 325 with numbers?
8.What role do numbers and The Divisibility Rule of 325 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve The Divisibility Rule of 325 skills?
Important Glossaries for Divisibility Rule of 325
- 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 25 if the last two digits are 00, 25, 50, or 75.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 325 are 325, 650, 975, etc.
- Integers: Integers are 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.
- Factors: Factors are numbers that divide another number completely without leaving a remainder, like 25 and 13 for 325.
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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.
