202 LearnersLast updated on May 26th, 2025
Divisibility Rule of 375
The divisibility rule is a way to determine whether a number is divisible by another number without performing actual division. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 375.
What is the Divisibility Rule of 375?
The divisibility rule for 375 is a method by which we can find out if a number is divisible by 375 or not without using the division method. Check whether 1875 is divisible by 375 with the divisibility rule.
Step 1: Check if the number is divisible by 3. Add up the digits of the number, and if the sum is divisible by 3, the number passes this step. For 1875, 1 + 8 + 7 + 5 = 21, and 21 is divisible by 3.
Step 2: Check if the number is divisible by 5. The last digit of the number should be 0 or 5. For 1875, the last digit is 5, so it passes this step.
Step 3: Check if the number is divisible by 25. The last two digits of the number should form a number that is divisible by 25. For 1875, those digits are 75, which is divisible by 25.
Since 1875 passes all three steps, it is divisible by 375.
Tips and Tricks for Divisibility Rule of 375
Understanding the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 375.
- Know the multiples of 375: Memorize the multiples of 375 (375, 750, 1125, 1500, etc.) to quickly check divisibility. If the result from the addition or checking is a multiple of 375, then the number is divisible by 375.
- Break down the rule: Understand that 375 is 3 × 5 × 25. Ensure the number is divisible by each of these components separately for quick checks.
- Use the division method to verify: Students can use the division method to verify and crosscheck their results. This helps them to confirm their understanding and results.
Common Mistakes and How to Avoid Them in Divisibility Rule of 375
The divisibility rule of 375 helps us quickly check if a given number is divisible by 375, but common mistakes like calculation errors can lead to incorrect conclusions. Here, we will understand some common mistakes and how to avoid them.
Mistake 1
Not following all steps.
Students should ensure they follow all steps—checking divisibility by 3, 5, and 25.
Mistake 2
Miscalculating the sum of digits.
Carefully add the digits to ensure the sum is checked correctly for divisibility by 3.
Mistake 3
Not considering the last two digits for divisibility by 25.
Always check the last two digits to determine if the number is divisible by 25.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Mistake 5
Ignoring larger numbers without breaking them down.
For large numbers, systematically check divisibility by 25 and 7 and combine results.
Divisibility Rule of 375 Examples
Problem 1
Is 1125 divisible by 375?
Yes, 1125 is divisible by 375.
Explanation
To check the divisibility of 1125 by 375, observe the following: 375 × 3 = 1125. Therefore, 1125 is divisible by 375.
Problem 2
Check the divisibility rule of 375 for 750.
Yes, 750 is divisible by 375.
Explanation
For checking the divisibility of 750 by 375, consider: 375 × 2 = 750. Thus, 750 is divisible by 375.
Problem 3
Is -1500 divisible by 375?
Yes, -1500 is divisible by 375.
Explanation
To check if -1500 is divisible by 375, remove the negative sign and verify: 375 × 4 = 1500. Hence, -1500 is divisible by 375.
Problem 4
Can 1000 be divisible by 375 following the divisibility rule?
No, 1000 isn't divisible by 375.
Explanation
To check if 1000 is divisible by 375, note that 375 × 2 = 750 and 375 × 3 = 1125. Therefore, 1000 is not divisible by 375 as it doesn't fit between these multiples.
Problem 5
Check the divisibility rule of 375 for 2250.
Yes, 2250 is divisible by 375.
Explanation
To check the divisibility of 2250 by 375, observe that 375 × 6 = 2250. Therefore, 2250 is divisible by 375.
FAQs on Divisibility Rule of 375
1.What is the divisibility rule for 375?
2.How do you check if a number is divisible by 375?
3.Is 1125 divisible by 375?
4.What if a number fails one of the divisibility conditions?
5.Does the divisibility rule of 375 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 375?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 375 with numbers?
8.What role do numbers and Divisibility Rule of 375 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 375 skills?
Important Glossaries for Divisibility Rule of 375
- Divisibility rule: A set of criteria used to determine if a number can be divided evenly by another number without performing division.
- Multiple: The result obtained from multiplying a number by an integer. For example, multiples of 375 are 375, 750, 1125, etc.
- Integer: Whole numbers and their negatives, including zero.
- Sum of digits: The total obtained by adding all the individual digits of a number.
- Divisibility: The property of a number being able to be divided by another number without leaving a remainder.
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About BrightChamps in Qatar
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.
