Divisibility Rule of 150
2026-02-28 11:36 Diff
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Last updated on August 5, 2025

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 150.

What is the Divisibility Rule of 150?

The divisibility rule for 150 is a method by which we can find out if a number is divisible by 150 without using the division method. Check whether 4500 is divisible by 150 with the divisibility rule.

Step 1: Check if the number is divisible by 2. A number is divisible by 2 if it ends in an even digit. Here, 4500 ends with 0, which is even

.

Step 2: Check if the number is divisible by 3. A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits in 4500 is 4 + 5 + 0 + 0 = 9, and 9 is divisible by 3.

Step 3: Check if the number is divisible by 5. A number is divisible by 5 if it ends in 0 or 5. Since 4500 ends in 0, it is divisible by 5.

Since 4500 satisfies all three conditions, it is divisible by 150.
 

Tips and Tricks for Divisibility Rule of 150

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 150.
 

  • Memorize the criteria: Remember that a number must be divisible by 2, 3, and 5 to be divisible by 150.
     
  • Check each criterion separately: Break down the divisibility check into manageable parts for 2, 3, and 5. This makes it easier to handle larger numbers.
     
  • 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 150

The divisibility rule of 150 helps us quickly check if the given number is divisible by 150, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.

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Problem 1

Is 450 divisible by 150?

Okay, lets begin

Yes, 450 is divisible by 150.

Explanation

To check divisibility by 150, the number must be divisible by both 2, 3, and 5. 


1) Check divisibility by 2: The number 450 ends in 0, so it is divisible by 2.


2) Check divisibility by 3: Sum the digits, 4 + 5 + 0 = 9. Since 9 is divisible by 3, 450 is divisible by 3.


3) Check divisibility by 5: The number ends in 0, so it is divisible by 5.


Since 450 meets all criteria, it is divisible by 150.

Well explained 👍

Problem 2

Check the divisibility rule of 150 for 900.

Okay, lets begin

Yes, 900 is divisible by 150.

Explanation

To check divisibility by 150, ensure divisibility by 2, 3, and 5.


1) Check divisibility by 2: 900 ends in 0, so it is divisible by 2.


2) Check divisibility by 3: Sum the digits, 9 + 0 + 0 = 9. Since 9 is divisible by 3, 900 is divisible by 3.


3) Check divisibility by 5: The number ends in 0, so it is divisible by 5.


Since 900 meets all criteria, it is divisible by 150.

Well explained 👍

Problem 3

Is -300 divisible by 150?

Okay, lets begin

Yes, -300 is divisible by 150.

Explanation

To check if -300 is divisible by 150, verify divisibility by 2, 3, and 5.


1) Check divisibility by 2: 300 ends in 0, so it is divisible by 2.


2) Check divisibility by 3: Sum the digits, 3 + 0 + 0 = 3. Since 3 is divisible by 3, 300 is divisible by 3.


3) Check divisibility by 5: The number ends in 0, so it is divisible by 5.


Since 300 meets all criteria, it is divisible by 150. The negative sign does not affect divisibility.

Well explained 👍

Problem 4

Can 775 be divisible by 150 following the divisibility rule?

Okay, lets begin

No, 775 is not divisible by 150.

Explanation

To check if 775 is divisible by 150, verify divisibility by 2, 3, and 5.


1) Check divisibility by 2: 775 ends in 5, so it is not divisible by 2.


Since 775 is not divisible by 2, it cannot be divisible by 150 regardless of the other checks.

Well explained 👍

Problem 5

Check the divisibility rule of 150 for 1200.

Okay, lets begin

Yes, 1200 is divisible by 150.

Explanation

To check divisibility by 150, ensure divisibility by 2, 3, and 5.


1) Check divisibility by 2: 1200 ends in 0, so it is divisible by 2.


2) Check divisibility by 3: Sum the digits, 1 + 2 + 0 + 0 = 3. Since 3 is divisible by 3, 1200 is divisible by 3.


3) Check divisibility by 5: The number ends in 0, so it is divisible by 5.


Since 1200 meets all criteria, it is divisible by 150.

Well explained 👍

FAQs on Divisibility Rule of 150

1. What is the divisibility rule for 150?

A number is divisible by 150 if it is divisible by 2, 3, and 5.

2. Is 600 divisible by 150?

There are 6 numbers that can be divided by 150 between 1 and 1000. The numbers are 150, 300, 450, 600, 750, and 900.

3. Is 600 divisible by 150?

Yes, because 600 is divisible by 2, 3, and 5.

4.What if I get 0 after checking divisibility?

If you get 0 as a remainder after division by 150, it is considered as the number is divisible by 150.

5.Does the divisibility rule of 150 apply to all the integers?

Yes, the divisibility rule of 150 applies to all integers.

Important Glossaries for Divisibility Rule of 150

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
     
  • Criteria: The conditions that must be met for a number to be divisible by another number, such as divisibility by 2, 3, and 5 for 150.
     
  • Multiples: The results we get after multiplying a number by an integer. For example, multiples of 150 are 150, 300, 450, etc.
     
  • Summation: The process of adding numbers together, often used in the divisibility rule for 3.
     
  • Integer: Whole numbers that include positive numbers, negative numbers, and zero.
     

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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.