Factors of -125
2026-02-28 15:55 Diff

310 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 items equally, arranging things, etc. In this topic, we will learn about the factors of -125, how they are used in real life, and tips to learn them quickly.

What are the Factors of -125?

The numbers that divide -125 evenly are known as factors of -125.

A factor of -125 is a number that divides the number without remainder.

The factors of -125 are 1, 5, 25, and 125.

Negative factors of -125: -1, -5, -25, and -125.

Prime factors of 125: 5. Prime factorization of 125: 5³.

The sum of factors of -125: 1 + 5 + 25 + 125 = 156

How to Find Factors of -125?

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

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 125. Identifying the numbers that are multiplied to get the number 125 is the multiplication method.

Step 1: Multiply 125 by 1, 125 × 1 = 125.

Step 2: Check for other numbers that give 125 after multiplying 5 × 25 = 125

Therefore, the positive factor pairs of 125 are: (1, 125), (5, 25).

All these factor pairs result in 125.

For every positive factor, there is a negative factor.

Explore Our Programs

Finding Factors Using Division Method

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

Step 1: Divide 125 by 1, 125 ÷ 1 = 125.

Step 2: Continue dividing 125 by the numbers until the remainder becomes 0.

125 ÷ 1 = 125

125 ÷ 5 = 25

125 ÷ 25 = 5

Therefore, the factors of 125 are: 1, 5, 25, 125.

Prime Factors and Prime Factorization

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

Using Prime Factorization: In this process, prime factors of 125 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

The prime factor of 125 is 5. The prime factorization of 125 is: 5³.

Factor Tree

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

Step 1: Firstly, 125 is divided by 5 to get 25.

Step 2: Now divide 25 by 5 to get 5. Step 3: Divide 5 by 5 to get 1. Here, 5 is the smallest prime number that cannot be divided anymore.

So, the prime factorization of 125 is: 5³.

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 125: (1, 125), (5, 25).

Negative factor pairs of 125: (-1, -125), (-5, -25).

Common Mistakes and How to Avoid Them in Factors of -125

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 5 students and 125 chocolates. How will they divide them equally?

Okay, lets begin

They will get 25 chocolates each.

Explanation

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

125/5 = 25

Well explained 👍

Problem 2

A block is cubic, with each side measuring 5 meters, and the total volume is 125 cubic meters. What is the height?

Okay, lets begin

5 meters.

Explanation

To find the height of the block, we use the formula, Volume = side × side × height 125 = 5 × 5 × height

To find the value of height, we need to shift 5² to the left side.

125/25 = height

Height = 5.

Well explained 👍

Problem 3

There are 25 gift boxes and 125 candies. How many candies will be in each box?

Okay, lets begin

Each box will have 5 candies.

Explanation

To find the candies in each box, divide the total candies by the number of boxes.

125/25 = 5

Well explained 👍

Problem 4

In a club, there are 125 members, and 5 groups. How many members are there in each group?

Okay, lets begin

There are 25 members in each group.

Explanation

Dividing the members by the total groups, we will get the number of members in each group.

125/5 = 25

Well explained 👍

Problem 5

125 books need to be arranged in 5 shelves. How many books will go on each shelf?

Okay, lets begin

Each shelf has 25 books.

Explanation

Divide total books by shelves.

125/5 = 25

Well explained 👍

FAQs on Factors of -125

1.What are the factors of -125?

1, 5, 25, 125 are the factors of 125, and -1, -5, -25, -125 are the negative factors.

2.Mention the prime factors of 125.

The prime factor of 125 is 5.

3.Is 125 a multiple of 5?

4.Mention the factor pairs of 125?

(1, 125), (5, 25) are the factor pairs of 125.

5.What is the cube of 125?

The cube of 125 is 1,953,125.

Important Glossaries for Factor of -125

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 125 are 1, 5, 25, and 125.
  • Prime factors: The factors which are prime numbers. For example, 5 is a prime factor of 125.
  • Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -5, -25, -125.
  • 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 125 are (1, 125), (5, 25).
  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, 125 is expressed as 5³.

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.