100 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 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: 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 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 280. Identifying the numbers that 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 whole numbers as factors. Factors can be calculated by following a 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 till 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 56 apples and 280 oranges. How will they divide it equally?
They will get 5 oranges each.
Explanation
To divide the oranges equally, we need to divide the total oranges with the number of apples.
280/56 = 5
Problem 2
A garden is rectangular, the length of the garden is 20 meters and the total area is 280 square meters. Find the width?
14 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
280 = 20 × width
To find the value of width, we need to shift 20 to the left side.
280/20 = width Width = 14.
Problem 3
There are 35 chairs and 280 desks. How many desks will be in front of each chair?
Each chair will have 8 desks.
Explanation
To find the desks in front of each chair, divide the total desks with the chairs.
280/35 = 8
Problem 4
In a school, there are 280 students, and 10 groups. How many students are there in each group?
There are 28 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
280/10 = 28
Problem 5
280 books need to be arranged in 14 shelves. How many books will go on each shelf?
Each of the shelves has 20 books.
Explanation
Divide total books with shelves.
280/14 = 20
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 8?
4.Mention the factor pairs of 280?
5.What is the square of 280?
6.How can children in Canada use numbers in everyday life to understand Factors of 280?
7.What are some fun ways kids in Canada can practice Factors of 280 with numbers?
8.What role do numbers and Factors of 280 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada 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.
- Prime Factorization: The process of breaking down a number into its prime factors. For 280, it is 2^3 × 5 × 7.
- Multiple: A product of a number and an integer. For example, 280 is a multiple of 8.
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About BrightChamps in Canada
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.
