100 LearnersLast updated on May 26th, 2025
Factors of 2664
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 2664, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2664?
The numbers that divide 2664 evenly are known as factors of 2664.
A factor of 2664 is a number that divides the number without remainder.
The factors of 2664 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888, 1332, and 2664.
Negative factors of 2664: -1, -2, -3, -4, -6, -8, -12, -24, -37, -74, -111, -148, -222, -296, -444, -888, -1332, and -2664.
Prime factors of 2664: 2, 3, and 37.
Prime factorization of 2664: 2³ × 3 × 37.
The sum of factors of 2664: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 + 37 + 74 + 111 + 148 + 222 + 296 + 444 + 888 + 1332 + 2664 = 6288
How to Find Factors of 2664?
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 2664. Identifying the numbers which are multiplied to get the number 2664 is the multiplication method.
Step 1: Multiply 2664 by 1, 2664 × 1 = 2664.
Step 2: Check for other numbers that give 2664 after multiplying
2 × 1332 = 2664
3 × 888 = 2664
4 × 666 = 2664
6 × 444 = 2664
8 × 333 = 2664
12 × 222 = 2664
24 × 111 = 2664
37 × 72 = 2664
Therefore, the positive factor pairs of 2664 are: (1, 2664), (2, 1332), (3, 888), (4, 666), (6, 444), (8, 333), (12, 222), (24, 111), and (37, 72).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 2664 by 1, 2664 ÷ 1 = 2664.
Step 2: Continue dividing 2664 by the numbers until the remainder becomes 0.
2664 ÷ 1 = 2664
2664 ÷ 2 = 1332
2664 ÷ 3 = 888
2664 ÷ 4 = 666
2664 ÷ 6 = 444
2664 ÷ 8 = 333
2664 ÷ 12 = 222
2664 ÷ 24 = 111
2664 ÷ 37 = 72
Therefore, the factors of 2664 are: 1, 2, 3, 4, 6, 8, 12, 24, 37, 72, 111, 222, 333, 444, 666, 888, 1332, 2664.
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 2664 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2664 ÷ 2 = 1332
1332 ÷ 2 = 666
666 ÷ 2 = 333
333 ÷ 3 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
The prime factors of 2664 are 2, 3, and 37.
The prime factorization of 2664 is: 2³ × 3 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2664 is divided by 2 to get 1332.
Step 2: Now divide 1332 by 2 to get 666.
Step 3: Then divide 666 by 2 to get 333.
Step 4: Divide 333 by 3 to get 111.
Step 5: Divide 111 by 3 to get 37.
Here, 37 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2664 is: 2³ × 3 × 37.
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 2664: (1, 2664), (2, 1332), (3, 888), (4, 666), (6, 444), (8, 333), (12, 222), (24, 111), and (37, 72).
Negative factor pairs of 2664: (-1, -2664), (-2, -1332), (-3, -888), (-4, -666), (-6, -444), (-8, -333), (-12, -222), (-24, -111), and (-37, -72).
Common Mistakes and How to Avoid Them in Factors of 2664
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 2664, 1 and 2664 are also factors.
Factors of 2664 Examples
Problem 1
There are 12 teams and 2664 players. How will they be divided equally?
Each team will get 222 players.
Explanation
To divide the players equally, we need to divide the total players by the number of teams.
2664/12 = 222
Problem 2
A rectangular garden has a length of 37 meters and a total area of 2664 square meters. What is the width?
72 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2664 = 37 × width
To find the value of width, we need to shift 37 to the left side.
2664/37 = width
Width = 72.
Problem 3
There are 24 boxes and 2664 items. How many items will be in each box?
Each box will have 111 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
2664/24 = 111
Problem 4
In a school, there are 444 students, and 6 buses. How many students are there in each bus?
There are 74 students in each bus.
Explanation
Dividing the students by the total buses, we will get the number of students in each bus.
444/6 = 74
Problem 5
2664 books need to be arranged in 37 shelves. How many books will go on each shelf?
Each shelf will have 72 books.
Explanation
Divide total books by shelves.
2664/37 = 72
FAQs on Factors of 2664
1.What are the factors of 2664?
2.Mention the prime factors of 2664.
3.Is 2664 a multiple of 8?
4.Mention the factor pairs of 2664?
5.What is the square of 2664?
6.How can children in Australia use numbers in everyday life to understand Factors of 2664?
7.What are some fun ways kids in Australia can practice Factors of 2664 with numbers?
8.What role do numbers and Factors of 2664 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 2664 skills?
Important Glossaries for Factor of 2664
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2664 are 1, 2, 3, 4, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 37 are prime factors of 2664.
- 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 2664 are (1, 2664), (2, 1332), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 2664 = 2³ × 3 × 37.
- Multiple: A number that can be divided by another number without a remainder. For example, 2664 is a multiple of 8.
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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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