Factors of -150
2026-02-28 00:55 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-minus-150

307 Learners

Last updated on December 12, 2025

Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of -150, how they are used in real life, and the tips to learn them quickly.

What are the Factors of -150?

The numbers that divide -150 evenly are known as factors of -150.

A factor of -150 is a number that divides the number without remainder.

The positive factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150.

Therefore, the factors of -150 include their negative counterparts: -1, -2, -3, -5, -6, -10, -15, -25, -30, -50, -75, and -150.

Prime factors of 150: 2, 3, and 5.

Prime factorization of 150: 2 × 3 × 5².

The sum of positive factors of 150: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 25 + 30 + 50 + 75 + 150 = 372

How to Find Factors of -150?

Factors can be found using different methods. Mentioned below are some commonly used methods:

  • Finding factors using multiplication
     
  • Finding factors using division method
     
  • Prime factors and Prime factorization

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -150. Identifying the numbers which are multiplied to get the number -150 is the multiplication method.

Step 1: Multiply 150 by 1, 150 × 1 = 150.

Step 2: Check for other numbers that give 150 after multiplying

2 × 75 = 150

3 × 50 = 150

5 × 30 = 150

6 × 25 = 150

10 × 15 = 150

Therefore, the positive factor pairs of 150 are: (1, 150), (2, 75), (3, 50), (5, 30), (6, 25), (10, 15).

All these factor pairs result in 150. For every positive factor, there is a negative factor.

Explore Our Programs

Finding Factors Using Division Method

Dividing the given number with the whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method

Step 1: Divide 150 by 1, 150 ÷ 1 = 150.

Step 2: Continue dividing 150 by the numbers until the remainder becomes 0.

150 ÷ 1 = 150

150 ÷ 2 = 75

150 ÷ 3 = 50

150 ÷ 5 = 30

150 ÷ 6 = 25

150 ÷ 10 = 15

Therefore, the positive factors of 150 are: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.

Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

Using Prime Factorization: In this process, prime factors of 150 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

150 ÷ 2 = 75

75 ÷ 3 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

The prime factors of 150 are 2, 3, and 5.

The prime factorization of 150 is: 2 × 3 × 5².

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

Step 1: Firstly, 150 is divided by 2 to get 75.

Step 2: Now divide 75 by 3 to get 25.

Step 3: Then divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 150 is: 2 × 3 × 5².

Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs.

Both positive and negative factors constitute factor pairs.

Positive factor pairs of 150: (1, 150), (2, 75), (3, 50), (5, 30), (6, 25), and (10, 15).

Negative factor pairs of -150: (-1, -150), (-2, -75), (-3, -50), (-5, -30), (-6, -25), and (-10, -15).

Common Mistakes and How to Avoid Them in Factors of -150

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

Problem 1

There are 15 students and -150 apples. How will they divide it equally?

Okay, lets begin

They will get -10 apples each.

Explanation

To divide the apples equally, we need to divide the total apples by the number of students.

-150/15 = -10

Well explained 👍

Problem 2

A rectangular plot has a width of 15 meters and a total area of -150 square meters. What is the length?

Okay, lets begin

-10 meters.

Explanation

To find the length of the plot, we use the formula

Area = length × width

-150 = length × 15

To find the value of length, we need to shift 15 to the left side.

-150/15 = length Length = -10.

Well explained 👍

Problem 3

There are 30 crates and -150 oranges. How many oranges will be in each crate?

Okay, lets begin

Each crate will have -5 oranges.

Explanation

To find the oranges in each crate, divide the total oranges by the number of crates.

-150/30 = -5

Well explained 👍

Problem 4

In a warehouse, there are -150 boxes and 5 sections. How many boxes are there in each section?

Okay, lets begin

There are -30 boxes in each section.

Explanation

Dividing the boxes by the total sections, we get the number of boxes in each section.

-150/5 = -30

Well explained 👍

Problem 5

-150 books need to be arranged in 25 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has -6 books.

Explanation

Divide total books by shelves.

-150/25 = -6

Well explained 👍

FAQs on Factors of -150

1.What are the factors of -150?

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, and their negative counterparts are the factors of -150.

2.Mention the prime factors of -150.

The prime factors of 150 are 2 × 3 × 5².

3.Is -150 a multiple of 5?

4.Mention the factor pairs of -150?

(1, 150), (2, 75), (3, 50), (5, 30), (6, 25), (10, 15) and their negative counterparts are the factor pairs of -150.

5.What is the absolute value of -150?

Important Glossaries for Factors of -150

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -150 include 1, 2, 3, 5, etc., and their negative counterparts.
     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 150.
     
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 150 are (1, 150), (2, 75), etc.
     
  • Prime factorization: Breaking down a number into its prime components. For example, the prime factorization of 150 is 2 × 3 × 5².
     
  • Negative factors: The negative counterparts of the positive factors. For example, the negative factors of -150 include -1, -2, -3, etc.

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.