101 LearnersLast updated on May 26th, 2025
Factors of 2688
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 2688, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2688?
The numbers that divide 2688 evenly are known as factors of 2688. A factor of 2688 is a number that divides the number without a remainder.
The factors of 2688 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 192, 224, 336, 384, 448, 672, 896, 1344, and 2688.
Negative factors of 2688: -1, -2, -3, -4, -6, -7, -8, -12, -14, -16, -21, -24, -28, -32, -42, -48, -56, -84, -96, -112, -168, -192, -224, -336, -384, -448, -672, -896, -1344, and -2688.
Prime factors of 2688: 2 and 3.
Prime factorization of 2688: 2^7 × 3 × 7.
The sum of factors of 2688: 8190.
How to Find Factors of 2688?
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 2688. Identifying the numbers which are multiplied to get the number 2688 is the multiplication method.
Step 1: Multiply 2688 by 1, 2688 × 1 = 2688.
Step 2: Check for other numbers that give 2688 after multiplying
2 × 1344 = 2688
3 × 896 = 2688
4 × 672 = 2688
6 × 448 = 2688
Therefore, the positive factor pairs of 2688 are: (1, 2688), (2, 1344), (3, 896), (4, 672), (6, 448), etc.
All these factor pairs result in 2688.
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 2688 by 1, 2688 ÷ 1 = 2688.
Step 2: Continue dividing 2688 by the numbers until the remainder becomes 0.
2688 ÷ 1 = 2688
2688 ÷ 2 = 1344
2688 ÷ 3 = 896
2688 ÷ 4 = 672
2688 ÷ 6 = 448
Therefore, the factors of 2688 are: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 192, 224, 336, 384, 448, 672, 896, 1344, and 2688.
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 2688 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2688 ÷ 2 = 1344
1344 ÷ 2 = 672
672 ÷ 2 = 336
336 ÷ 2 = 168
168 ÷ 2 = 84
84 ÷ 2 = 42
42 ÷ 2 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
The prime factors of 2688 are 2, 3, and 7.
The prime factorization of 2688 is: 2^7 × 3 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2688 is divided by 2 to get 1344.
Step 2: Now divide 1344 by 2 to get 672.
Step 3: Then divide 672 by 2 to get 336.
Step 4: Divide 336 by 2 to get 168.
Step 5: Divide 168 by 2 to get 84.
Step 6: Divide 84 by 2 to get 42.
Step 7: Divide 42 by 2 to get 21.
Step 8: Divide 21 by 3 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 2688 is: 2^7 × 3 × 7.
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 2688: (1, 2688), (2, 1344), (3, 896), (4, 672), (6, 448), etc.
Negative factor pairs of 2688: (-1, -2688), (-2, -1344), (-3, -896), (-4, -672), (-6, -448), etc.
Common Mistakes and How to Avoid Them in Factors of 2688
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 factors for every word. Always remember to include 1 and the number itself.
For example, in factors of 2688, 1 and 2688 are also factors.
Factors of 2688 Examples
Problem 1
There are 896 apples and 2688 oranges. How many complete fruit baskets can be made with equal numbers of apples and oranges?
You can make 3 complete fruit baskets.
Explanation
To divide the fruits equally, we need to find the common factor of 896 and 2688.
2688/896 = 3
Problem 2
A garden is rectangular, the length of the garden is 42 meters, and the total area is 2688 square meters. Find the width?
64 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2688 = 42 × width
To find the value of width, we need to shift 42 to the left side.
2688/42 = width
Width = 64.
Problem 3
There are 168 workers and 2688 tasks. How many tasks will be assigned to each worker?
Each worker will have 16 tasks.
Explanation
To find the tasks for each worker, divide the total tasks by the number of workers.
2688/168 = 16
Problem 4
In a class, there are 224 students, and 2688 books. How many books are there for each student?
Each student gets 12 books.
Explanation
Dividing the books by the total number of students, we will get the number of books for each student.
2688/224 = 12
Problem 5
2688 pages need to be printed in 56 hours. How many pages will be printed each hour?
Each hour, 48 pages will be printed.
Explanation
Divide the total pages by the hours.
2688/56 = 48
FAQs on Factors of 2688
1.What are the factors of 2688?
2.Mention the prime factors of 2688.
3.Is 2688 a multiple of 7?
4.Mention the factor pairs of 2688?
5.What is the square of 2688?
6.How can children in Canada use numbers in everyday life to understand Factors of 2688?
7.What are some fun ways kids in Canada can practice Factors of 2688 with numbers?
8.What role do numbers and Factors of 2688 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 2688 skills?
Important Glossaries for Factor of 2688
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2688 are 1, 2, 3, 4, 6, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 7 are prime factors of 2688.
- 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 2688 are (1, 2688), (2, 1344), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 2688 = 2^7 × 3 × 7.
- Multiplication Method: A method to find factors by identifying pairs of numbers that multiply to the original number.
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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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