101 LearnersLast updated on May 26th, 2025
Factors of -320
Factors are the numbers that divide any given number evenly without a 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).
All these factor pairs result in 320.
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 in 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 the factors for every whole 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 10 teams and -320 points to distribute equally among them. How many points does each team get?
Each team gets -32 points.
Explanation
To distribute the points equally, divide the total points by the number of teams.
-320/10 = -32
Problem 2
A piece of cloth of -320 meters is to be cut into 8 equal parts. How long is each part?
Each part is -40 meters long.
Explanation
To find the length of each part, divide the total length by the number of parts.
-320/8 = -40
Problem 3
A factory produces -320 units of a product over 16 days. How many units are produced per day?
The factory produces -20 units per day.
Explanation
To find the daily production, divide the total production by the number of days.
-320/16 = -20
Problem 4
A farmer has a debt of -320 dollars which he needs to pay in 5 equal installments. How much is each installment?
Each installment is -64 dollars.
Explanation
Divide the total debt by the number of installments to find the amount of each installment.
-320/5 = -64
Problem 5
A team lost -320 points over 4 games. How many points did they lose per game?
The team lost -80 points per game.
Explanation
To find the points lost per game, divide the total points lost by the number of games.
-320/4 = -80
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 8?
4.Mention the factor pairs of -320?
5.What is the absolute value of -320?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of -320?
7.What are some fun ways kids in United Arab Emirates can practice Factors of -320 with numbers?
8.What role do numbers and Factors of -320 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of -320 skills?
Important Glossary for Factors of -320
- Factors: Numbers that divide the given number without leaving a remainder. For example, the factors of -320 include 1, 2, 4, etc., and their negatives.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of -320.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pairs of -320 are (1, 320), (2, 160), etc., and their negatives.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 320 is 26 × 5.
- Negative factors: Factors that are negative counterparts of positive factors, like -1, -2 for the number -320.
Explore More numbers
Previous to Factors of -320
About BrightChamps in United Arab Emirates
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.
