100 LearnersLast updated on May 26th, 2025
Factors of 320
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 320, how they are used in real life, and tips to learn them quickly.
What are the Factors of 320?
The numbers that divide 320 evenly are known as factors of 320.
A factor of 320 is a number that divides the number without remainder.
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, and 320.
Negative factors of 320: -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -64, -80, -160, and -320.
Prime factors of 320: 2 and 5. Prime factorization of 320: 26 × 5.
The sum of factors of 320: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 32 + 40 + 64 + 80 + 160 + 320 = 762
How to Find Factors of 320?
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 320. Identifying the numbers which are multiplied to get the number 320 is the multiplication method.
Step 1: Multiply 320 by 1, 320 × 1 = 320.
Step 2: Check for other numbers that give 320 after multiplying
2 × 160 = 320
4 × 80 = 320
5 × 64 = 320
8 × 40 = 320
10 × 32 = 320
16 × 20 = 320
Therefore, the positive factor pairs of 320 are: (1, 320), (2, 160), (4, 80), (5, 64), (8, 40), (10, 32), (16, 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 320 by 1, 320 ÷ 1 = 320.
Step 2: Continue dividing 320 by the numbers until the remainder becomes 0.
320 ÷ 1 = 320
320 ÷ 2 = 160
320 ÷ 4 = 80
320 ÷ 5 = 64
320 ÷ 8 = 40
320 ÷ 10 = 32
320 ÷ 16 = 20
Therefore, the factors of 320 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320.
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 320 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
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 320 are 2 and 5.
The prime factorization of 320 is: 26 × 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, 320 is divided by 2 to get 160.
Step 2: Now divide 160 by 2 to get 80.
Step 3: Then divide 80 by 2 to get 40.
Step 4: Divide 40 by 2 to get 20.
Step 5: Divide 20 by 2 to get 10.
Step 6: Divide 10 by 2 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 320 is: 26 × 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 320: (1, 320), (2, 160), (4, 80), (5, 64), (8, 40), (10, 32), and (16, 20).
Negative factor pairs of 320: (-1, -320), (-2, -160), (-4, -80), (-5, -64), (-8, -40), (-10, -32), and (-16, -20).
Common Mistakes and How to Avoid Them in Factors of 320
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 320, 1 and 320 are also factors.
Factors of 320 Examples
Problem 1
There are 16 employees and 320 tasks. How will they divide it equally?
They will get 20 tasks each.
Explanation
To divide the tasks equally, we need to divide the total tasks by the number of employees.
320/16 = 20
Problem 2
A garden is rectangular, the length of the garden is 10 meters and the total area is 320 square meters. Find the width?
32 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
320 = 10 × width
To find the value of width, we need to shift 10 to the left side.
320/10 = width
Width = 32.
Problem 3
There are 8 packages and 320 items. How many items will be in each package?
Each package will have 40 items.
Explanation
To find the items in each package, divide the total items by the packages.
320/8 = 40
Problem 4
In a tournament, there are 320 players, and 20 teams. How many players are there in each team?
There are 16 players in each team.
Explanation
Dividing the players by the total teams, we will get the number of players in each team.
320/20 = 16
Problem 5
320 books need to be arranged in 5 bookshelves. How many books will go on each shelf?
Each of the shelves has 64 books.
Explanation
Divide total books by shelves.
320/5 = 64
FAQs on Factors of 320
1.What are the factors of 320?
2.Mention the prime factors of 320.
3.Is 320 a multiple of 4?
4.Mention the factor pairs of 320?
5.What is the square of 320?
6.How can children in Canada use numbers in everyday life to understand Factors of 320?
7.What are some fun ways kids in Canada can practice Factors of 320 with numbers?
8.What role do numbers and Factors of 320 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 320 skills?
Important Glossaries for Factors of 320
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, and 320.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 320.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 320 is 26 × 5.
- 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 320 are (1, 320), (2, 160), etc.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 320 is a multiple of 4.
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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.
