117 LearnersLast updated on May 26th, 2025
Factors of -140
Factors are the numbers that divide any given number evenly without a 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 -140, how they are used in real life, and tips to learn them quickly.
What are the Factors of -140?
The numbers that divide -140 evenly are known as factors of -140.
A factor of -140 is a number that divides the number without a remainder.
The factors of -140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140.
Negative factors of -140: -1, -2, -4, -5, -7, -10, -14, -20, -28, -35, -70, and -140.
Prime factors of -140: 2, 5, and 7.
Prime factorization of -140: -1 × 2^2 × 5 × 7.
The sum of factors of 140 (ignoring the negative sign): 1 + 2 + 4 + 5 + 7 + 10 + 14 + 20 + 28 + 35 + 70 + 140 = 336
How to Find Factors of -140?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 140 (ignoring the negative sign initially). Identifying the numbers which are multiplied to get the number 140 is the multiplication method.
Step 1: Multiply 140 by 1, 140 × 1 = 140.
Step 2: Check for other numbers that give 140 after multiplying
2 × 70 = 140
4 × 35 = 140
5 × 28 = 140
7 × 20 = 140
10 × 14 = 140
Therefore, the positive factor pairs of 140 are: (1, 140), (2, 70), (4, 35), (5, 28), (7, 20), and (10, 14).
For every positive factor, there is a corresponding negative factor for -140.
Finding Factors Using Division Method
Dividing the given numbers with the 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 140 by 1, 140 ÷ 1 = 140.
Step 2: Continue dividing 140 by the numbers until the remainder becomes 0.
140 ÷ 1 = 140
140 ÷ 2 = 70
140 ÷ 4 = 35
140 ÷ 5 = 28
140 ÷ 7 = 20
140 ÷ 10 = 14
Therefore, the factors of 140 are: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, and their negative counterparts for -140.
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 the factor tree
Using Prime Factorization: In this process, prime factors of -140 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
140 ÷ 2 = 70
70 ÷ 2 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
The prime factors of -140 are 2, 5, and 7.
The prime factorization of -140 is: -1 × 2^2 × 5 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 140 is divided by 2 to get 70.
Step 2: Now divide 70 by 2 to get 35.
Step 3: Then divide 35 by 5 to get 7. Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of -140 is: -1 × 22 × 5 × 7.
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 140: (1, 140), (2, 70), (4, 35), (5, 28), (7, 20), and (10, 14).
Negative factor pairs of -140: (-1, -140), (-2, -70), (-4, -35), (-5, -28), (-7, -20), and (-10, -14).
Common Mistakes and How to Avoid Them in Factors of -140
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of -140, 1 and 140 are also factors, along with their negative counterparts.
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 -140 consist of -1, -2, -4, etc.
Mistake 3
Including Fractions
Children might sometimes mistakenly consider fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 140/1.5 = 93.333, 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 -140 are prime numbers.
For example, 2, 5, and 7 are the prime factors of -140, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not breaking -140 as -1 × 2^2 × 5 × 7 and missing key factors.
Factors of -140 Examples
Problem 1
There are 7 teams and -140 points to distribute equally. How many points will each team get?
Each team will receive -20 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
-140/7 = -20
Problem 2
A swimming pool is 14 meters long, and the total area is -140 square meters. What is the width of the pool?
-10 meters.
Explanation
To find the width of the pool, we use the formula,
Area = length × width
-140 = 14 × width
To find the value of width, we need to shift 14 to the left side.
-140/14 = width Width = -10.
Problem 3
There are 20 boxes and -140 candies. How many candies will be in each box?
Each box will have -7 candies.
Explanation
To find the candies in each box, divide the total candies by the number of boxes.
-140/20 = -7
Problem 4
In a class, there are -140 students, and 28 groups. How many students are there in each group?
There are -5 students in each group.
Explanation
Dividing the students by the total groups will give the number of students in each group.
-140/28 = -5
Problem 5
-140 books need to be arranged in 10 shelves. How many books will go on each shelf?
Each of the shelves will have -14 books.
Explanation
Divide total books by shelves.
-140/10 = -14
FAQs on Factors of -140
1.What are the factors of -140?
2.Mention the prime factors of -140.
3.Is -140 a multiple of 7?
4.Mention the factor pairs of -140?
5.What is the absolute value of -140?
6.How can children in Qatar use numbers in everyday life to understand Factors of -140?
7.What are some fun ways kids in Qatar can practice Factors of -140 with numbers?
8.What role do numbers and Factors of -140 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of -140 skills?
Important Glossaries for Factors of -140
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, and their negative counterparts.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of -140.
- 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 -140 are (1, 140), (2, 70), etc., and their negative counterparts.
- Prime factorization: Breaking down a number into its prime factors. For -140, it is -1 × 22 × 5 × 7.
- Negative factors: The negative counterparts of the positive factors. For example, -1, -2, -4, etc., are negative factors of -140.
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About BrightChamps in Qatar
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.
