Factors of -147
2026-02-28 17:11 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-minus-147

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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 -147, how they are used in real life, and the tips to learn them quickly.

What are the Factors of -147?

The numbers that divide -147 evenly are known as factors of -147.

A factor of -147 is a number that divides the number without remainder.

The factors of -147 are 1, 3, 7, 21, 49, and 147.

Negative factors of -147: -1, -3, -7, -21, -49, and -147.

Prime factors of -147: 3 and 7.

Prime factorization of -147: -1 × 3 × 7².

The sum of the factors of 147 (positive only): 1 + 3 + 7 + 21 + 49 + 147 = 228

How to Find Factors of -147?

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 -147. Identifying the numbers which are multiplied to get the number -147 is the multiplication method.

Step 1: Multiply -147 by -1, -147 × -1 = 147.

Step 2: Check for other numbers that give 147 after multiplying 3 × 49 = 147 7 × 21 = 147

Therefore, the positive factor pairs of 147 are: (1, 147), (3, 49), and (7, 21).

For every positive factor, there is a negative factor.

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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 147 by 1, 147 ÷ 1 = 147.

Step 2: Continue dividing 147 by the numbers until the remainder becomes 0.

147 ÷ 1 = 147

147 ÷ 3 = 49

147 ÷ 7 = 21

Therefore, the factors of 147 are: 1, 3, 7, 21, 49, 147.

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 147 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

147 ÷ 3 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

The prime factors of 147 are 3 and 7.

The prime factorization of -147 is: -1 × 3 × 7².

Factor Tree

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

Step 1: Firstly, 147 is divided by 3 to get 49.

Step 2: Now divide 49 by 7 to get 7.

Step 3: Divide 7 by 7 to get 1. So, the prime factorization of -147 is: -1 × 3 × 7².

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 147: (1, 147), (3, 49), and (7, 21).

Negative factor pairs of -147: (-1, -147), (-3, -49), and (-7, -21).

Common Mistakes and How to Avoid Them in Factors of -147

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 14 teams and -147 points to distribute. How many points will each team get if distributed equally?

Okay, lets begin

Each team will receive -10.5 points.

Explanation

To divide the points equally, we need to divide the total points by the number of teams.

-147/14 = -10.5

Well explained 👍

Problem 2

A rectangular field has one side of 7 meters and the total area is 147 square meters. Find the length of the other side.

Okay, lets begin

21 meters.

Explanation

To find the length of the other side, we use the formula,

Area = length × width

147 = 7 × length

To find the value of the length, we need to shift 7 to the left side.

147/7 = length Length = 21.

Well explained 👍

Problem 3

There are 3 boxes and -147 marbles. How many marbles will be in each box if distributed equally?

Okay, lets begin

Each box will have -49 marbles.

Explanation

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

-147/3 = -49

Well explained 👍

Problem 4

A class has 147 students and there are 7 groups. How many students are in each group?

Okay, lets begin

There are 21 students in each group.

Explanation

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

147/7 = 21

Well explained 👍

Problem 5

147 books need to be arranged in 7 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 21 books.

Explanation

Divide total books by shelves.

147/7 = 21

Well explained 👍

FAQs on Factors of -147

1.What are the factors of -147?

1, 3, 7, 21, 49, 147 are the factors of 147. Negative factors are -1, -3, -7, -21, -49, -147.

2.Mention the prime factors of -147.

The prime factors of -147 are -1 × 3 × 7².

3.Is 147 a multiple of 7?

4.Mention the factor pairs of -147?

Positive factor pairs of 147: (1, 147), (3, 49), and (7, 21). Negative factor pairs of -147: (-1, -147), (-3, -49), and (-7, -21).

5.What is the square of 147?

Important Glossaries for Factors of -147

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -147 are 1, 3, 7, 21, 49, and 147.
     
  • Prime factors: The factors which are prime numbers. For example, 3 and 7 are prime factors of -147.
     
  • 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 147 are (1, 147), (3, 49), etc.
     
  • Negative Factors: Factors of a number that are negative. For example, -1, -3, -7, -21, -49, and -147 are negative factors of -147.
     
  • Prime Factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of -147 is -1 × 3 × 7².

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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.