234 LearnersLast updated on May 26th, 2025
Divisibility Rule of 125
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 125.
What is the Divisibility Rule of 125?
The divisibility rule for 125 is a method by which we can find out if a number is divisible by 125 without using the division method. Check whether 5000 is divisible by 125 with the divisibility rule.
Step 1: Check the last three digits of the number. If they are 000, 125, 250, 375, 500, 625, 750, or 875, then the number is divisible by 125.
Step 2: In the case of 5000, the last three digits are 000.
Step 3: Since 000 is one of the numbers in the list (000, 125, 250, 375, 500, 625, 750, 875), 5000 is divisible by 125.
Tips and Tricks for Divisibility Rule of 125
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 125.
- Know the multiples of 125: Memorize the multiples of 125 (125, 250, 375, 500, 625, 750, 875, 1000, etc.) to quickly check divisibility. If the last three digits form a number in this list, the number is divisible by 125.
- Use the number's last three digits: Focus on the last three digits of the number and compare them with the multiples of 125. This makes it easy to determine divisibility.
- Verify with multiplication: If unsure, multiply 125 by any integer to see if it matches the number’s last three digits. For example, 125 × 4 = 500. So, any number ending in 500 is divisible by 125.
- Use the division method to verify: You can use the division method as a way to verify and crosscheck your results. This will help to confirm your findings and also learn.
- Repeat the process for large numbers: For large numbers, repeatedly check the last three digits until they match a multiple of 125.
Common Mistakes and How to Avoid Them in Divisibility Rule of 125
The divisibility rule of 125 helps us quickly check if a given number is divisible by 125, 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 focusing on the last three digits.
Always ensure you are checking only the last three digits of the number against the multiples of 125.
Divisibility Rule of 125 Examples
Problem 1
Is a shipment of 1,250 books divisible evenly among 125 libraries?
Yes, 1,250 books can be distributed evenly among 125 libraries.
Explanation
To check if 1,250 is divisible by 125, we simply divide 1,250 by 125, which results in 10. Since this is a whole number, 1,250 is divisible by 125.
Problem 2
Can a total of 8,750 coins be divided into bags containing 125 coins each?
Yes, 8,750 coins can be divided into bags of 125 coins each.
Explanation
Divide 8,750 by 125. The result is 70, which is a whole number. Therefore, 8,750 is divisible by 125.
Problem 3
Is a batch of 3,625 cookies divisible into boxes of 125 cookies without leftovers?
Yes, 3,625 cookies can be divided into boxes of 125 cookies each.
Explanation
Divide 3,625 by 125. The result is 29, a whole number, indicating that 3,625 is divisible by 125.
Problem 4
Can a total amount of 2,500 units of a product be distributed evenly into containers of 125 units each?
Yes, 2,500 units can be evenly distributed into containers of 125 units each.
Explanation
To determine divisibility, divide 2,500 by 125, which results in 20. Since the result is a whole number, 2,500 is divisible by 125.
Problem 5
Is a collection of 5,375 marbles divisible into bags of 125 marbles?
No, 5,375 marbles cannot be divided into bags of 125 marbles without a remainder.
Explanation
Divide 5,375 by 125, which equals 43. The division results in a remainder, indicating that 5,375 is not divisible by 125.
FAQs on Divisibility Rule of 125
1.What is the divisibility rule for 125?
2.How many numbers are there between 1 and 1000 that are divisible by 125?
3.Is 625 divisible by 125?
4.What if the number ends in 000?
5.Does the divisibility rule of 125 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 125?
7.What are some fun ways kids in United States can practice Divisibility Rule of 125 with numbers?
8.What role do numbers and Divisibility Rule of 125 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 125 skills?
Important Glossaries for Divisibility Rule of 125
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without performing division.
- Multiples: Multiples are the products obtained by multiplying a number by an integer. For example, multiples of 125 are 125, 250, 375, etc.
- Integer: An integer is a whole number that can be positive, negative, or zero.
- Subtraction: Subtraction is the process of finding the difference between two numbers.
- Verification: The process of confirming the correctness of a calculation or result.
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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.
