102 LearnersLast updated on May 26th, 2025
Factors of 6480
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 6480, how they are used in real life, and tips to learn them quickly.
What are the Factors of 6480?
The numbers that divide 6480 evenly are known as factors of 6480.
A factor of 6480 is a number that divides the number without remainder.
The factors of 6480 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, 108, 120, 135, 144, 160, 180, 216, 240, 270, 320, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240, and 6480.
Negative factors of 6480: -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, -108, -120, -135, -144, -160, -180, -216, -240, -270, -320, -360, -405, -432, -540, -648, -720, -810, -1080, -1296, -1620, -2160, -3240, -6480.
Prime factors of 6480: 2, 3, and 5.
Prime factorization of 6480: 24 × 34 × 5.
The sum of factors of 6480: 1 + 2 + 3 + 4 + ... + 6480 = 19404 (sum calculated by adding all factors)
How to Find Factors of 6480?
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 6480. Identifying the numbers which are multiplied to get the number 6480 is the multiplication method.
Step 1: Multiply 6480 by 1, 6480 × 1 = 6480.
Step 2: Check for other numbers that give 6480 after multiplying:
2 × 3240 = 6480
3 × 2160 = 6480
4 × 1620 = 6480
5 × 1296 = 6480
6 × 1080 = 6480 ...
Therefore, the positive factor pairs of 6480 include: (1, 6480), (2, 3240), (3, 2160), (4, 1620), (5, 1296), (6, 1080), and so on.
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 6480 by 1, 6480 ÷ 1 = 6480.
Step 2: Continue dividing 6480 by the numbers until the remainder becomes 0.
6480 ÷ 1 = 6480
6480 ÷ 2 = 3240
6480 ÷ 3 = 2160
6480 ÷ 4 = 1620
6480 ÷ 5 = 1296
6480 ÷ 6 = 1080 ...
Therefore, the factors of 6480 include 1, 2, 3, 4, 5, 6, and so on.
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 6480 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
6480 ÷ 2 = 3240
3240 ÷ 2 = 1620
1620 ÷ 2 = 810
810 ÷ 2 = 405
405 ÷ 3 = 135
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
The prime factors of 6480 are 2, 3, and 5.
The prime factorization of 6480 is: 24 × 34 × 5.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 6480 is divided by 2 to get 3240.
Step 2: Now divide 3240 by 2 to get 1620.
Step 3: Then divide 1620 by 2 to get 810.
Step 4: Divide 810 by 2 to get 405.
Step 5: Divide 405 by 3 to get 135.
Step 6: Divide 135 by 3 to get 45.
Step 7: Divide 45 by 3 to get 15.
Step 8: Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 6480 is: 24 × 34 × 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 6480: (1, 6480), (2, 3240), (3, 2160), (4, 1620), (5, 1296), (6, 1080), and so on.
Negative factor pairs of 6480: (-1, -6480), (-2, -3240), (-3, -2160), (-4, -1620), (-5, -1296), (-6, -1080), and so on.
Common Mistakes and How to Avoid Them in Factors of 6480
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 6480, 1 and 6480 are also factors.
Factors of 6480 Examples
Problem 1
There are 6480 apples and 324 baskets. How will they divide them equally?
They will put 20 apples in each basket.
Explanation
To divide the apples equally, we need to divide the total apples with the number of baskets.
6480/324 = 20
Problem 2
A rectangular garden has a length of 90 meters and a total area of 6480 square meters. Find the width.
72 meters.
Explanation
To find the width of the garden, we use the formula:
Area = length × width
6480 = 90 × width
To find the value of width, we need to shift 90 to the left side.
6480/90 = width
Width = 72.
Problem 3
There are 180 bags and 6480 candies. How many candies will be in each bag?
Each bag will have 36 candies.
Explanation
To find the candies in each bag, divide the total candies by the number of bags.
6480/180 = 36
Problem 4
A warehouse stores 6480 boxes, and they are packed into 54 pallets. How many boxes are there on each pallet?
There are 120 boxes on each pallet.
Explanation
Dividing the total boxes by the number of pallets, we get the number of boxes on each pallet.
6480/54 = 120
Problem 5
6480 books need to be arranged in 45 shelves. How many books will go on each shelf?
Each of the shelves has 144 books.
Explanation
Divide total books by the number of shelves.
6480/45 = 144
FAQs on Factors of 6480
1.What are the factors of 6480?
2.Mention the prime factors of 6480.
3.Is 6480 a multiple of 9?
4.Mention the factor pairs of 6480.
5.What is the square of 6480?
6.How can children in India use numbers in everyday life to understand Factors of 6480?
7.What are some fun ways kids in India can practice Factors of 6480 with numbers?
8.What role do numbers and Factors of 6480 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 6480 skills?
Important Glossaries for Factors of 6480
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 6480 include 1, 2, 3, 4, 5, 6, and so on.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 6480.
- 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 6480 include (1, 6480), (2, 3240), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 6480 is 24 × 34 × 5.
- Multiples: A multiple is the result of multiplying a number by an integer. For example, 6480 is a multiple of 9.
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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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