101 LearnersLast updated on May 26th, 2025
Factors of -280
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of -280, how they are used in real life, and tips to learn them quickly.
What are the Factors of -280?
The numbers that divide -280 evenly are known as factors of -280.
A factor of -280 is a number that divides the number without remainder.
The factors of -280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280.
Negative factors of -280: -1, -2, -4, -5, -7, -8, -10, -14, -20, -28, -35, -40, -56, -70, -140, and -280.
Prime factors of -280: 2, 5, and 7.
Prime factorization of -280: 23 × 5 × 7.
The sum of factors of 280 (positive factors only): 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 28 + 35 + 40 + 56 + 70 + 140 + 280 = 720
How to Find Factors of -280?
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 -280. Identifying the numbers which are multiplied to get the number -280 is the multiplication method.
Step 1: Multiply -280 by -1, -280 × -1 = 280.
Step 2: Check for other numbers that give 280 after multiplying
2 × 140 = 280
4 × 70 = 280
5 × 56 = 280
7 × 40 = 280
8 × 35 = 280
10 × 28 = 280
14 × 20 = 280
Therefore, the positive factor pairs of 280 are: (1, 280), (2, 140), (4, 70), (5, 56), (7, 40), (8, 35), (10, 28), (14, 20).
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 a whole number as factors. Factors can be calculated by following simple division method
Step 1: Divide -280 by -1, -280 ÷ -1 = 280.
Step 2: Continue dividing 280 by the numbers until the remainder becomes 0.
280 ÷ 1 = 280
280 ÷ 2 = 140
280 ÷ 4 = 70
280 ÷ 5 = 56
280 ÷ 7 = 40
280 ÷ 8 = 35
280 ÷ 10 = 28
280 ÷ 14 = 20
Therefore, the factors of -280 are: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
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 280 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
280 ÷ 2 = 140
140 ÷ 2 = 70
70 ÷ 2 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
The prime factors of -280 are 2, 5, and 7.
The prime factorization of -280 is: 23 × 5 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 280 is divided by 2 to get 140.
Step 2: Now divide 140 by 2 to get 70.
Step 3: Then divide 70 by 2 to get 35.
Step 4: Divide 35 by 5 to get 7. Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of -280 is: 23 × 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 280: (1, 280), (2, 140), (4, 70), (5, 56), (7, 40), (8, 35), (10, 28), (14, 20).
Negative factor pairs of -280: (-1, -280), (-2, -140), (-4, -70), (-5, -56), (-7, -40), (-8, -35), (-10, -28), (-14, -20).
Common Mistakes and How to Avoid Them in Factors of -280
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 -280, 1 and 280 are also factors.
Factors of -280 Examples
Problem 1
There are 7 teams and -280 points. How will they distribute the points equally?
Each team will get -40 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
-280/7 = -40
Problem 2
A rectangular garden has a width of 10 meters and a total area of -280 square meters. Find the length.
-28 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
-280 = length × 10
To find the value of length, we need to divide -280 by 10.
-280/10 = length
Length = -28.
Problem 3
There are 14 bins and -280 kilograms of waste. How many kilograms will be in each bin?
Each bin will have -20 kilograms.
Explanation
To find the waste in each bin, divide the total waste by the number of bins.
-280/14 = -20
Problem 4
In a class, there are -280 marks to be distributed among 5 students. How many marks will each student get?
Each student will get -56 marks.
Explanation
Dividing the marks by the total number of students, we will get the number of marks each student receives.
-280/5 = -56
Problem 5
-280 apples need to be divided into 8 baskets. How many apples will go into each basket?
Each basket will have -35 apples.
Explanation
Divide the total apples by the number of baskets.
-280/8 = -35
FAQs on Factors of -280
1.What are the factors of -280?
2.Mention the prime factors of -280.
3.Is -280 a multiple of 4?
4.Mention the factor pairs of -280?
5.What is the absolute value of -280?
6.How can children in Bahrain use numbers in everyday life to understand Factors of -280?
7.What are some fun ways kids in Bahrain can practice Factors of -280 with numbers?
8.What role do numbers and Factors of -280 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of -280 skills?
Important Glossaries for Factors of -280
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of -280.
- 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 -280 are (1, 280), (2, 140), etc.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -2, -4, -5, etc., are negative factors of -280.
- Prime factorization: Breaking down a number into its basic prime factor components. For -280, it is 23 × 5 × 7.
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About BrightChamps in Bahrain
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.
