101 LearnersLast updated on May 26th, 2025
Factors of -720
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 -720, how they are used in real life, and tips to learn them quickly.
What are the Factors of -720?
The numbers that divide -720 evenly are known as factors of -720.
A factor of -720 is a number that divides the number without remainder.
The positive factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720.
The negative factors of -720 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -30, -36, -40, -45, -48, -60, -72, -80, -90, -120, -144, -180, -240, -360, and -720.
Prime factors of 720: 2, 3, and 5.
Prime factorization of 720: 24 × 32 × 5.
The sum of positive factors of 720 is 2,168.
How to Find Factors of -720?
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 720. Identifying the numbers that are multiplied to get the number 720 is the multiplication method.
Step 1: Multiply 720 by 1, 720 × 1 = 720.
Step 2: Check for other numbers that give 720 after multiplying
2 × 360 = 720
3 × 240 = 720
4 × 180 = 720
5 × 144 = 720
6 × 120 = 720
8 × 90 = 720
9 × 80 = 720
10 × 72 = 720
12 × 60 = 720
15 × 48 = 720
16 × 45 = 720
18 × 40 = 720
20 × 36 = 720
24 × 30 = 720
Therefore, the positive factor pairs of 720 are: (1, 720), (2, 360), (3, 240), (4, 180), (5, 144), (6, 120), (8, 90), (9, 80), (10, 72), (12, 60), (15, 48), (16, 45), (18, 40), and (20, 36).
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 simple division method
Step 1: Divide 720 by 1, 720 ÷ 1 = 720.
Step 2: Continue dividing 720 by the numbers until the remainder becomes 0.
720 ÷ 1 = 720
720 ÷ 2 = 360
720 ÷ 3 = 240
720 ÷ 4 = 180
720 ÷ 5 = 144
720 ÷ 6 = 120
720 ÷ 8 = 90
720 ÷ 9 = 80
720 ÷ 10 = 72
720 ÷ 12 = 60
720 ÷ 15 = 48
720 ÷ 16 = 45
720 ÷ 18 = 40
720 ÷ 20 = 36
Therefore, the factors of 720 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720.
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 720 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
720 ÷ 2 = 360
360 ÷ 2 = 180
180 ÷ 2 = 90
90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
The prime factors of 720 are 2, 3, and 5.
The prime factorization of 720 is: 24 × 32 × 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, 720 is divided by 2 to get 360.
Step 2: Now divide 360 by 2 to get 180.
Step 3: Then divide 180 by 2 to get 90. Step 4: Divide 90 by 2 to get 45.
Step 5: Divide 45 by 3 to get 15.
Step 6: Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 720 is: 24 × 32 × 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 720: (1, 720), (2, 360), (3, 240), (4, 180), (5, 144), (6, 120), (8, 90), (9, 80), (10, 72), (12, 60), (15, 48), (16, 45), (18, 40), (20, 36), (24, 30).
Negative factor pairs of -720: (-1, -720), (-2, -360), (-3, -240), (-4, -180), (-5, -144), (-6, -120), (-8, -90), (-9, -80), (-10, -72), (-12, -60), (-15, -48), (-16, -45), (-18, -40), (-20, -36), (-24, -30).
Common Mistakes and How to Avoid Them in Factors of -720
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 720, 1 and 720 are also factors.
Factors of -720 Examples
Problem 1
There are 18 workers and -720 units of work. How will they divide it equally?
They will face -40 units of work each.
Explanation
To divide the work equally, we need to divide the total units by the number of workers.
-720/18 = -40
Problem 2
A rectangular garden has a length of 36 meters and a total area of -720 square meters. Find the width?
-20 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
-720 = 36 × width
To find the value of width, we need to shift 36 to the left side.
-720/36 = width
Width = -20.
Problem 3
There are 24 boxes and -720 items. How many items will be in each box?
Each box will have -30 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
-720/24 = -30
Problem 4
There are -720 units of a product, and 45 packs. How many units are there in each pack?
There are -16 units in each pack.
Explanation
Dividing the units by the total packs, we will get the number of units in each pack.
-720/45 = -16
Problem 5
-720 books need to be arranged in 9 shelves. How many books will go on each shelf?
Each of the shelves has -80 books.
Explanation
Divide total books by shelves.
-720/9 = -80
FAQs on Factors of -720
1.What are the factors of -720?
2.Mention the prime factors of -720.
3.Is 720, a multiple of 9?
4.Mention the factor pairs of -720?
5.What is the square of -720?
6.How can children in Australia use numbers in everyday life to understand Factors of -720?
7.What are some fun ways kids in Australia can practice Factors of -720 with numbers?
8.What role do numbers and Factors of -720 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of -720 skills?
Important Glossaries for Factor of -720
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -720 are 1, 2, 3, etc., and their negatives.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of -720.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the positive factor pairs of 720 are (1, 720), (2, 360), etc.
- Negative factors: Negative numbers that divide the number without a remainder. For example, -1, -2, -3, etc., are factors of -720.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 720 is 24 × 32 × 5.
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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.
