102 LearnersLast updated on May 26th, 2025
Factors of 1104
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 1104, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1104?
The numbers that divide 1104 evenly are known as factors of 1104.
A factor of 1104 is a number that divides the number without remainder.
The factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 138, 184, 276, 368, 552, and 1104.
Negative factors of 1104: -1, -2, -3, -4, -6, -8, -12, -16, -23, -24, -32, -46, -48, -69, -92, -138, -184, -276, -368, -552, and -1104.
Prime factors of 1104: 2 and 3.
Prime factorization of 1104: 25 × 3 × 23.
The sum of factors of 1104: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 23 + 24 + 32 + 46 + 48 + 69 + 92 + 138 + 184 + 276 + 368 + 552 + 1104 = 3000
How to Find Factors of 1104?
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 1104. Identifying the numbers which are multiplied to get the number 1104 is the multiplication method.
Step 1: Multiply 1104 by 1, 1104 × 1 = 1104.
Step 2: Check for other numbers that give 1104 after multiplying
2 × 552 = 1104
3 × 368 = 1104
4 × 276 = 1104
6 × 184 = 1104
8 × 138 = 1104
12 × 92 = 1104
16 × 69 = 1104
23 × 48 = 1104
24 × 46 = 1104
32 × 34.5 = 1104 (not a whole number, so not a factor pair)
Therefore, the positive factor pairs of 1104 are: (1, 1104), (2, 552), (3, 368), (4, 276), (6, 184), (8, 138), (12, 92), (16, 69), (23, 48), (24, 46).
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 1104 by 1, 1104 ÷ 1 = 1104.
Step 2: Continue dividing 1104 by the numbers until the remainder becomes 0.
1104 ÷ 1 = 1104
1104 ÷ 2 = 552
1104 ÷ 3 = 368
1104 ÷ 4 = 276
1104 ÷ 6 = 184
1104 ÷ 8 = 138
1104 ÷ 12 = 92
1104 ÷ 16 = 69
1104 ÷ 23 = 48
1104 ÷ 24 = 46
Therefore, the factors of 1104 are: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104.
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 1104 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1104 ÷ 2 = 552
552 ÷ 2 = 276
276 ÷ 2 = 138
138 ÷ 2 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1
The prime factors of 1104 are 2, 3, and 23.
The prime factorization of 1104 is: 25 × 3 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1104 is divided by 2 to get 552.
Step 2: Now divide 552 by 2 to get 276.
Step 3: Then divide 276 by 2 to get 138.
Step 4: Divide 138 by 2 to get 69.
Step 5: Divide 69 by 3 to get 23. Here, 23 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1104 is: 25 × 3 × 23.
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 1104: (1, 1104), (2, 552), (3, 368), (4, 276), (6, 184), (8, 138), (12, 92), (16, 69), (23, 48), and (24, 46).
Negative factor pairs of 1104: (-1, -1104), (-2, -552), (-3, -368), (-4, -276), (-6, -184), (-8, -138), (-12, -92), (-16, -69), (-23, -48), and (-24, -46).
Common Mistakes and How to Avoid Them in Factors of 1104
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 1104, 1 and 1104 are also factors.
Factors of 1104 Examples
Problem 1
There are 23 students and 1104 candies. How will they divide it equally?
They will get 48 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of students.
1104/23 = 48
Problem 2
A rectangular garden has a length of 46 meters and a total area of 1104 square meters. Find the width?
24 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1104 = 46 × width
To find the value of width, we need to shift 46 to the left side.
1104/46 = width
Width = 24.
Problem 3
There are 276 plants and 1104 pots. How many plants will be in each pot?
Each pot will have 4 plants.
Explanation
To find the plants in each pot, divide the total plants by the pots.
1104/276 = 4
Problem 4
In a library, there are 1104 books, and 69 shelves. How many books are there on each shelf?
There are 16 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
1104/69 = 16
Problem 5
1104 chairs need to be arranged in 12 rows. How many chairs will go in each row?
Each of the rows has 92 chairs.
Explanation
Divide total chairs by rows.
1104/12 = 92
FAQs on Factors of 1104
1.What are the factors of 1104?
2.Mention the prime factors of 1104.
3.Is 1104 a multiple of 69?
4.Mention the factor pairs of 1104?
5.What is the square of 1104?
6.How can children in Australia use numbers in everyday life to understand Factors of 1104?
7.What are some fun ways kids in Australia can practice Factors of 1104 with numbers?
8.What role do numbers and Factors of 1104 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1104 skills?
Important Glossaries for Factor of 1104
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 138, 184, 276, 368, 552, and 1104.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 23 are prime factors of 1104.
- 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 1104 are (1, 1104), (2, 552), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1104 is 25 × 3 × 23.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1104 is a multiple of 69.
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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.
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