103 LearnersLast updated on May 26th, 2025
Factors of -240
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 -240, how they are used in real life, and tips to learn them quickly.
What are the Factors of -240?
The numbers that divide -240 evenly are known as factors of -240.
A factor of -240 is a number that divides the number without remainder.
The positive factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240.
For -240, the negative factors are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -40, -48, -60, -80, -120, and -240. Prime factors of 240: 2, 3, and 5.
Prime factorization of 240: 24 × 3 × 5.
The sum of positive factors of 240: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 30 + 40 + 48 + 60 + 80 + 120 + 240 = 744
How to Find Factors of -240?
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 240. Identifying the numbers which are multiplied to get the number 240 is the multiplication method.
Step 1: Multiply 240 by 1, 240 × 1 = 240.
Step 2: Check for other numbers that give 240 after multiplying
2 × 120 = 240
3 × 80 = 240
4 × 60 = 240
5 × 48 = 240
6 × 40 = 240
8 × 30 = 240
10 × 24 = 240
12 × 20 = 240
15 × 16 = 240
Therefore, the positive factor pairs of 240 are: (1, 240), (2, 120), (3, 80), (4, 60), (5, 48), (6, 40), (8, 30), (10, 24), (12, 20), (15, 16).
For every positive factor, there is a negative factor.
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 simple division methods
Step 1: Divide 240 by 1, 240 ÷ 1 = 240.
Step 2: Continue dividing 240 by the numbers until the remainder becomes 0.
240 ÷ 1 = 240
240 ÷ 2 = 120
240 ÷ 3 = 80
240 ÷ 4 = 60
240 ÷ 5 = 48
240 ÷ 6 = 40
240 ÷ 8 = 30
240 ÷ 10 = 24
240 ÷ 12 = 20
240 ÷ 15 = 16
Therefore, the positive factors of 240 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240.
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 240 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
240 ÷ 2 = 120
120 ÷ 2 = 60
60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
The prime factors of 240 are 2, 3, and 5.
The prime factorization of 240 is: 24 × 3 × 5.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 240 is divided by 2 to get 120.
Step 2: Now divide 120 by 2 to get 60.
Step 3: Then divide 60 by 2 to get 30.
Step 4: Divide 30 by 2 to get 15.
Step 5: Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 240 is: 24 × 3 × 5.
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 240: (1, 240), (2, 120), (3, 80), (4, 60), (5, 48), (6, 40), (8, 30), (10, 24), (12, 20), and (15, 16).
Negative factor pairs of -240: (-1, -240), (-2, -120), (-3, -80), (-4, -60), (-5, -48), (-6, -40), (-8, -30), (-10, -24), (-12, -20), and (-15, -16).
Common Mistakes and How to Avoid Them in Factors of -240
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 240, 1 and 240 are also factors.
Factors of -240 Examples
Problem 1
There are 240 apples and 10 baskets. How will they divide them equally?
They will get 24 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of baskets.
240/10 = 24
Problem 2
A wall is rectangular, the height of the wall is 12 meters and the total area is 240 square meters. Find the width?
20 meters.
Explanation
To find the width of the wall, we use the formula,
Area = height × width
240 = 12 × width
To find the value of width, we need to shift 12 to the left side.
240/12 = width
Width = 20.
Problem 3
There are 30 boxes and 240 books. How many books will be in each box?
Each box will have 8 books.
Explanation
To find the books in each box, divide the total books with the boxes.
240/30 = 8
Problem 4
In a school, there are 240 students, and 15 classes. How many students are there in each class?
There are 16 students in each class.
Explanation
Dividing the students with the total classes, we will get the number of students in each class.
240/15 = 16
Problem 5
240 plants need to be arranged in 20 rows. How many plants will go in each row?
Each of the rows has 12 plants.
Explanation
Divide total plants with rows.
240/20 = 12
FAQs on Factors of -240
1.What are the factors of -240?
2.Mention the prime factors of -240.
3.Is -240, a multiple of 5?
4.Mention the factor pairs of -240.
5.What is the square of 240?
6.How can children in India use numbers in everyday life to understand Factors of -240?
7.What are some fun ways kids in India can practice Factors of -240 with numbers?
8.What role do numbers and Factors of -240 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of -240 skills?
Important Glossaries for Factors of -240
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 240.
- 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 240 are (1, 240), (2, 120), etc.
- Multiples: The product of a number and an integer. For example, -240 is a multiple of 5.
- Prime factorization: The process of breaking down a composite number into its prime factors. For example, the prime factorization of 240 is 24 × 3 × 5.
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About BrightChamps in India
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.
