221 LearnersLast updated on May 26th, 2025
Divisibility Rule of 425
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 math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 425.
What is the Divisibility Rule of 425?
The divisibility rule for 425 is a method by which we can find out if a number is divisible by 425 or not without using the division method. Check whether 425000 is divisible by 425 with the divisibility rule.
Step 1: First, check if the last three digits of the number form a number that is divisible by 25. Here, in 425000, the last three digits are 000, which is divisible by 25.
Step 2: Next, check if the number formed by all the digits except the last three is divisible by 17. In this case, the number is 425, which is divisible by 17 (since 17×25=425).
Step 3: If both conditions are satisfied, the number is divisible by 425.
Tips and Tricks for Divisibility Rule of 425
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 425.
Know the multiples of 425:
Memorize the multiples of 425 (425, 850, 1275, 1700, etc.) to quickly check divisibility. If both conditions of the rule are met, the number is divisible by 425.
Use the negative numbers:
If the result we get while checking divisibility conditions is negative, consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers:
For large numbers, break them down using the rule repeatedly until you confirm divisibility by 425.
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 425
The divisibility rule of 425 helps us quickly check if a given number is divisible by 425, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following both steps.
Students should follow both steps: checking the divisibility of the last three digits by 25 and the remaining number by 17.
Mistake 2
Misidentifying the last three digits.
Ensure you correctly identify and use only the last three digits of the number to check divisibility by 25.
Mistake 3
Not repeating the process for large numbers.
Students often stop the process after encountering large numbers. Repeat it until divisibility is confirmed.
Mistake 4
Not considering negative values.
Consider negative results as positive for checking divisibility
Mistake 5
Confusing the steps.
Practice regularly to avoid confusion and remember the steps.
Divisibility Rule of 425 Examples
Problem 1
Is 850 divisible by 425?
Yes, 850 is divisible by 425.
Explanation
To determine if 850 is divisible by 425, divide 850 by 425. The result is 2 with no remainder, confirming that 850 is divisible by 425.
Problem 2
Check the divisibility rule of 425 for 1275.
Yes, 1275 is divisible by 425.
Explanation
To check if 1275 is divisible by 425, divide 1275 by 425. The result is 3 with no remainder, indicating that 1275 is divisible by 425.
Problem 3
Is 1700 divisible by 425?
Yes, 1700 is divisible by 425.
Explanation
Divide 1700 by 425. The quotient is 4 with no remainder, showing that 1700 is divisible by 425.
Problem 4
Can 2125 be divisible by 425 following the divisibility rule?
Yes, 2125 is divisible by 425.
Explanation
To see if 2125 is divisible by 425, divide 2125 by 425. The quotient is 5 with no remainder, meaning 2125 is divisible by 425.
Problem 5
Check the divisibility rule of 425 for 3000.
No, 3000 is not divisible by 425.
Explanation
Divide 3000 by 425. The quotient is approximately 7.0588, which indicates that there is a remainder. Therefore, 3000 is not divisible by 425.
FAQs on Divisibility Rule of 425
1.What is the divisibility rule for 425?
2.How many numbers between 1 and 5000 are divisible by 425?
3.Is 1275 divisible by 425?
4.What if I get 0 after the divisibility check?
5.Does the divisibility rule of 425 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 425?
7.What are some fun ways kids in United States can practice Divisibility Rule of 425 with numbers?
8.What role do numbers and Divisibility Rule of 425 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 425 skills?
Important Glossaries for Divisibility Rule of 425
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.
- Multiples: The result obtained when multiplying a number by an integer. For example, multiples of 425 are 425, 850, 1275, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A process of finding the difference between two numbers by reducing one from another.
- Division: The process of determining how many times one number is contained within another.
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About BrightChamps in United States
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.
