123 LearnersLast updated on May 26th, 2025
Factors of -147
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.
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
- Using factor tree
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.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of -147, 1 and 147 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of -147 include -1, -3, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because -147/1.5 = -98, and it is not a whole number.
Mistake 4
Confusing Factors with Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of -147 are prime numbers.
For example, 3 and 7 are the prime factors of -147, but it has other factors like 21, 49.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking -147 as -1 × 3 × 7² and missing all the key factors.
Factors of -147 Examples
Problem 1
There are 14 teams and -147 points to distribute. How many points will each team get if distributed equally?
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
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.
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.
Problem 3
There are 3 boxes and -147 marbles. How many marbles will be in each box if distributed equally?
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
Problem 4
A class has 147 students and there are 7 groups. How many students are in each group?
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
Problem 5
147 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 21 books.
Explanation
Divide total books by shelves.
147/7 = 21
FAQs on Factors of -147
1.What are the factors of -147?
2.Mention the prime factors of -147.
3.Is 147 a multiple of 7?
4.Mention the factor pairs of -147?
5.What is the square of 147?
6.How can children in Indonesia use numbers in everyday life to understand Factors of -147?
7.What are some fun ways kids in Indonesia can practice Factors of -147 with numbers?
8.What role do numbers and Factors of -147 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of -147 skills?
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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About BrightChamps in Indonesia
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.
