101 LearnersLast updated on May 26th, 2025
Factors of 1280
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 1280, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1280?
The numbers that divide 1280 evenly are known as factors of 1280.
A factor of 1280 is a number that divides the number without remainder.
The factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, and 1280.
Negative factors of 1280: -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -64, -80, -128, -160, -256, -320, -640, and -1280.
Prime factors of 1280: 2 and 5.
Prime factorization of 1280: 28 × 5.
The sum of factors of 1280: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 32 + 40 + 64 + 80 + 128 + 160 + 256 + 320 + 640 + 1280 = 3072
How to Find Factors of 1280?
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 1280. Identifying the numbers which are multiplied to get the number 1280 is the multiplication method.
Step 1: Multiply 1280 by 1, 1280 × 1 = 1280.
Step 2: Check for other numbers that give 1280 after multiplying
2 × 640 = 1280
4 × 320 = 1280
5 × 256 = 1280
8 × 160 = 1280
10 × 128 = 1280
16 × 80 = 1280
20 × 64 = 1280
32 × 40 = 1280
Therefore, the positive factor pairs of 1280 are: (1, 1280), (2, 640), (4, 320), (5, 256), (8, 160), (10, 128), (16, 80), (20, 64), (32, 40).
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 1280 by 1, 1280 ÷ 1 = 1280.
Step 2: Continue dividing 1280 by the numbers until the remainder becomes 0.
1280 ÷ 1 = 1280
1280 ÷ 2 = 640
1280 ÷ 4 = 320
1280 ÷ 5 = 256
1280 ÷ 8 = 160
1280 ÷ 10 = 128
1280 ÷ 16 = 80
1280 ÷ 20 = 64
1280 ÷ 32 = 40
Therefore, the factors of 1280 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 1280 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1280 ÷ 2 = 640
640 ÷ 2 = 320
320 ÷ 2 = 160
160 ÷ 2 = 80
80 ÷ 2 = 40
40 ÷ 2 = 20
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1
The prime factors of 1280 are 2 and 5.
The prime factorization of 1280 is: 28 × 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, 1280 is divided by 2 to get 640.
Step 2: Now divide 640 by 2 to get 320.
Step 3: Then divide 320 by 2 to get 160.
Step 4: Divide 160 by 2 to get 80.
Step 5: Divide 80 by 2 to get 40.
Step 6: Divide 40 by 2 to get 20.
Step 7: Divide 20 by 2 to get 10.
Step 8: Divide 10 by 2 to get 5.
Here, 5 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1280 is: 28 × 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 1280: (1, 1280), (2, 640), (4, 320), (5, 256), (8, 160), (10, 128), (16, 80), (20, 64), (32, 40).
Negative factor pairs of 1280: (-1, -1280), (-2, -640), (-4, -320), (-5, -256), (-8, -160), (-10, -128), (-16, -80), (-20, -64), (-32, -40).
Common Mistakes and How to Avoid Them in Factors of 1280
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 1280, 1 and 1280 are also factors.
Factors of 1280 Examples
Problem 1
There are 16 teams and 1280 medals. How will they distribute them equally?
They will get 80 medals each.
Explanation
To divide the medals equally, we need to divide the total medals by the number of teams.
1280/16 = 80
Problem 2
A rectangular garden has a length of 32 meters and a total area of 1280 square meters. Find the width.
40 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1280 = 32 × width
To find the value of width, we need to divide 1280 by 32.
1280/32 = width
Width = 40.
Problem 3
There are 64 crates and 1280 apples. How many apples will be in each crate?
Each crate will have 20 apples.
Explanation
To find the apples in each crate, divide the total apples by the crates.
1280/64 = 20
Problem 4
In a class, there are 1280 students and 40 groups. How many students are there in each group?
There are 32 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1280/40 = 32
Problem 5
1280 books need to be arranged in 160 shelves. How many books will go on each shelf?
Each of the shelves has 8 books.
Explanation
Divide total books by shelves.
1280/160 = 8
FAQs on Factors of 1280
1.What are the factors of 1280?
2.Mention the prime factors of 1280.
3.Is 1280 a multiple of 16?
4.Mention the factor pairs of 1280?
5.What is the square of 1280?
Important Glossary for Factors of 1280
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1280 are 1, 2, 4, 5, 8, 10, etc.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 1280.
- 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 1280 are (1, 1280), (2, 640), etc.
- Prime factorization: Breaking down a number into its prime factors. For 1280, it is 28 × 5.
- Multiples: The result of multiplying a number by an integer. For example, 1280 is a multiple of 16.
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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.
