101 LearnersLast updated on May 26th, 2025
Factors of 8640
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 8640, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 8640?
The numbers that divide 8640 evenly are known as factors of 8640.
A factor of 8640 is a number that divides the number without a remainder.
The factors of 8640 are numerous, including 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 320, 360, 432, 480, 540, 720, 864, 960, 1080, 1440, 1728, 2160, 2880, 4320, and 8640.
Negative factors of 8640 include: -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -27, -30, -32, -36, -40, -45, -48, -54, -60, -72, -80, -90, -96, -108, -120, -135, -144, -160, -180, -216, -240, -270, -288, -320, -360, -432, -480, -540, -720, -864, -960, -1080, -1440, -1728, -2160, -2880, -4320, and -8640.
Prime factors of 8640 include: 2, 3, and 5.
Prime factorization of 8640: 26 × 33 × 5.
The sum of factors of 8640 is a large number due to the extensive list of factors.
How to Find Factors of 8640?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 8640. Identifying the numbers which are multiplied to get the number 8640 is the multiplication method.
Some examples of factor pairs for 8640 include: - 1 × 8640 = 8640
2 × 4320 = 8640
3 × 2880 = 8640
4 × 2160 = 8640
5 × 1728 = 8640
Therefore, the positive factor pairs of 8640 are extensive and include examples like (1, 8640), (2, 4320), (3, 2880), (4, 2160), (5, 1728), etc.
For every positive factor, there is a corresponding negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers are factors.Factors can be calculated by following a simple division method
For example: - 8640 ÷ 1 = 8640
8640 ÷ 2 = 4320
8640 ÷ 3 = 2880
8640 ÷ 4 = 2160
8640 ÷ 5 = 1728
Therefore, the factors of 8640 are numerous and include 1, 2, 3, 4, 5, and many more up to 8640.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 8640 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
8640 ÷ 2 = 4320
4320 ÷ 2 = 2160
2160 ÷ 2 = 1080 1080 ÷ 2 = 540
540÷ 2 = 270
- 270 ÷ 2 = 135
135 ÷ 3 = 45 4
5 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
The prime factors of 8640 are 2, 3, and 5.
The prime factorization of 8640 is: 26 × 33 × 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, 8640 is divided by 2 to get 4320.
Step 2: Now divide 4320 by 2 to get 2160.
Step 3: Then divide 2160 by 2 to get 1080.
Step 4: Divide 1080 by 2 to get 540.
Step 5: Continue dividing by 2 until 135, which then divides by 3 and 5.
So, the prime factorization of 8640 is: 26 × 33 × 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 8640 include examples like (1, 8640), (2, 4320), (3, 2880), (4, 2160), and (5, 1728).
Negative factor pairs of 8640 include examples like (-1, -8640), (-2, -4320), (-3, -2880), (-4, -2160), and (-5, -1728).
Common Mistakes and How to Avoid Them in Factors of 8640
Mistakes are common while finding factors. We can identify and correct these mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
People 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 8640, 1 and 8640 are also factors.
Factors of 8640 Examples
Problem 1
A group of 9 players has 8640 points. How will they divide it equally?
They will get 960 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of players.
8640/9 = 960
Problem 2
A rectangular garden is 72 meters long, and the total area is 8640 square meters. Find the width.
120 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
8640 = 72 × width
To find the value of width, divide 8640 by 72.
8640/72 = 120
Problem 3
There are 18 baskets and 8640 apples. How many apples will be in each basket?
Each basket will have 480 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
8640/18 = 480
Problem 4
A class has 8640 books, and there are 240 shelves. How many books are there on each shelf?
There are 36 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
8640/240 = 36
Problem 5
8640 marbles need to be arranged in 540 boxes. How many marbles will go in each box?
Each box will have 16 marbles.
Explanation
Divide the total marbles by the number of boxes.
8640/540 = 16
FAQs on Factors of 8640
1.What are the factors of 8640?
2.Mention the prime factors of 8640.
3.Is 8640 a multiple of 36?
4.Mention the factor pairs of 8640.
5.What is the cube of 8640?
6.How can children in Canada use numbers in everyday life to understand Factors of 8640?
7.What are some fun ways kids in Canada can practice Factors of 8640 with numbers?
8.What role do numbers and Factors of 8640 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 8640 skills?
Important Glossaries for Factors of 8640
- Factors: Numbers that divide the given number without leaving a remainder. For example, the factors of 8640 include 1, 2, 3, and many more.
- Prime Factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 8640.
- Factor Pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pairs of 8640 include (1, 8640), (2, 4320), etc.
- Prime Factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 8640 is 26 × 33 × 5.
- Multiplication Method: Finding factors by identifying pairs of numbers that multiply to give the original number. For example, 2 × 4320 = 8640.
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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
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