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Table of Contents

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Last updated on February 12th, 2025

Divisibility Rule of 375

Q: What is the divisibility rule for 375?

The divisibility rule for 375 involves ensuring the number is divisible by 3, 5, and 25.

Q: How do you check if a number is divisible by 375?

Check if the sum of the digits is divisible by 3, the last digit is 0 or 5 for divisibility by 5, and the last two digits form a number divisible by 25.

Q: Is 1125 divisible by 375?

Yes, because 1125 is a multiple of 375 (375 × 3 = 1125).

Q: What if a number fails one of the divisibility conditions?

If a number fails any of the divisibility checks (3, 5, or 25), it is not divisible by 375.

Q: Does the divisibility rule of 375 apply to all integers?

Yes, the divisibility rule of 375 applies to all integers.

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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. $divisibility rule of 375$

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

Divisibility Rule of 375 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Is 1125 divisible by 375?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Check the divisibility rule of 375 for 750.

Explanation

Problem 3

Is -1500 divisible by 375?

Explanation

Problem 4

Can 1000 be divisible by 375 following the divisibility rule?

Explanation

Problem 5

Check the divisibility rule of 375 for 2250.

Explanation

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?

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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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.