123 LearnersLast updated on May 26th, 2025
Factors of 720720
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 720720, how they are used in real life, and tips to learn them quickly.
What are the Factors of 720720?
The numbers that divide 720720 evenly are known as factors of 720720. A factor of 720720 is a number that divides the number without remainder. The factors of 720720 include 1, 2, 3, 4, 5, 6, and many others.
Negative factors of 720720: -1, -2, -3, -4, -5, -6, and many others.
Prime factors of 720720: 2, 3, 5, 7, 11, and 13.
Prime factorization of 720720: 24 × 32 × 5 × 7 × 11 × 13.
How to Find Factors of 720720?
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 720720. Identifying the numbers which are multiplied to get the number 720720 is the multiplication method.
Step 1: Multiply 720720 by 1, 720720 × 1 = 720720.
Step 2: Check for other numbers that give 720720 after multiplying. For instance:
2 × 360360 = 720720
3 × 240240 = 720720
5 × 144144 = 720720
6 × 120120 = 720720
Therefore, the positive factor pairs of 720720 include: (1, 720720), (2, 360360), (3, 240240), (5, 144144), (6, 120120). 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 720720 by 1, 720720 ÷ 1 = 720720.
Step 2: Continue dividing 720720 by the numbers until the remainder becomes 0.
For example:
720720 ÷ 1 = 720720
720720 ÷ 2 = 360360
720720 ÷ 3 = 240240
720720 ÷ 5 = 144144
720720 ÷ 6 = 120120
Therefore, the factors of 720720 include: 1, 2, 3, 5, 6, and many more.
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 720720 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
720720 ÷ 2 = 360360
360360 ÷ 2 = 180180
180180 ÷ 2 = 90090
90090 ÷ 2 = 45045
45045 ÷ 3 = 15015
15015 ÷ 3 = 5005
5005 ÷ 5 = 1001
1001 ÷ 7 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
The prime factors of 720720 are 2, 3, 5, 7, 11, and 13. The prime factorization of 720720 is: 24 × 32 × 5 × 7 × 11 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 720720 is divided by 2 to get 360360.
Step 2: Now divide 360360 by 2 to get 180180.
Step 3: Then divide 180180 by 2 to get 90090.
Step 4: Divide 90090 by 2 to get 45045.
Step 5: Divide 45045 by 3 to get 15015.
Step 6: Divide 15015 by 3 to get 5005.
Step 7: Divide 5005 by 5 to get 1001.
Step 8: Divide 1001 by 7 to get 143. Step 9: Divide 143 by 11 to get 13. 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 720720 is: 24 × 32 × 5 × 7 × 11 × 13.
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 720720 include: (1, 720720), (2, 360360), (3, 240240), etc.
- Negative factor pairs of 720720 include: (-1, -720720), (-2, -360360), (-3, -240240), etc.
Common Mistakes and How to Avoid Them in Factors of 720720
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 word. Always remember to include 1 and the number itself. For example, in factors of 720720, 1 and 720720 are also factors.
Factors of 720720 Examples
Problem 1
There are 12 teams and 720720 points. How will they divide it equally?
They will get 60060 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams
720720/12 = 60060
Problem 2
A garden is rectangular, the length of the garden is 110 meters and the total area is 720720 square meters. Find the width?
6552 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
720720 = 110 × width
To find the value of width, we need to shift 110 to the left side.
720720/110 = width
Width = 6552.
Problem 3
There are 24 boxes and 720720 items. How many items will be in each box?
Each box will have 30030 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
720720/24 = 30030
Problem 4
In a theater, there are 720720 seats, and 90 sections. How many seats are there in each section?
There are 8008 seats in each section.
Explanation
Dividing the seats with the total sections, we will get the number of seats in each section.
720720/90 = 8008
Problem 5
720720 books need to be distributed across 360 shelves. How many books will go on each shelf?
Each shelf will have 2002 books.
Explanation
Divide total books by the number of shelves.
720720/360 = 2002
FAQs on Factors of 720720
1.What are the factors of 720720?
2.Mention the prime factors of 720720.
3.Is 720720 a multiple of 8?
4.Mention the factor pairs of 720720?
5.What is the square of 720720?
6.How can children in Singapore use numbers in everyday life to understand Factors of 720720?
7.What are some fun ways kids in Singapore can practice Factors of 720720 with numbers?
8.What role do numbers and Factors of 720720 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 720720 skills?
Important Glossaries for Factors of 720720
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 720720 include 1, 2, 3, 5, 6, and many more.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, 7, 11, and 13 are prime factors of 720720.
- 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 720720 include (1, 720720), (2, 360360), etc.
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 720720 is 24 × 32 × 5 × 7 × 11 × 13.
- Divisors: Numbers that divide another number completely without leaving a remainder. For instance, the divisors of 720720 include 1, 2, 3, 4, etc.
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About BrightChamps in Singapore
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.
