100 LearnersLast updated on May 26th, 2025
Factors of 11025
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 11025, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 11025?
The numbers that divide 11025 evenly are known as factors of 11025.
A factor of 11025 is a number that divides the number without remainder.
The factors of 11025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 729, 1215, 2025, 3645, 55125, and 11025.
Negative factors of 11025: -1, -3, -5, -9, -15, -25, -27, -45, -75, -81, -135, -225, -243, -405, -729, -1215, -2025, -3645, -55125, and -11025.
Prime factors of 11025: 3, 5, and 7.
Prime factorization of 11025: 3² × 5² × 7².
The sum of factors of 11025: 1 + 3 + 5 + 9 + 15 + 25 + 27 + 45 + 75 + 81 + 135 + 225 + 243 + 405 + 729 + 1215 + 2025 + 3645 + 55125 + 11025 = 15576
How to Find Factors of 11025?
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 11025. Identifying the numbers which are multiplied to get the number 11025 is the multiplication method.
Step 1: Multiply 11025 by 1, 11025 × 1 = 11025.
Step 2: Check for other numbers that give 11025 after multiplying
3 × 3675 = 11025
5 × 2205 = 11025
9 × 1225 = 11025
15 × 735 = 11025
25 × 441 = 11025
27 × 407 = 11025
45 × 245 = 11025
75 × 147 = 11025
81 × 135 = 11025
Thus, the positive factor pairs of 11025 are: (1, 11025), (3, 3675), (5, 2205), (9, 1225), (15, 735), (25, 441), (27, 407), (45, 245), (75, 147), and (81, 135).
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 11025 by 1, 11025 ÷ 1 = 11025.
Step 2: Continue dividing 11025 by the numbers until the remainder becomes 0.
11025 ÷ 1 = 11025
11025 ÷ 3 = 3675
11025 ÷ 5 = 2205
11025 ÷ 9 = 1225
11025 ÷ 15 = 735
11025 ÷ 25 = 441
11025 ÷ 27 = 407
11025 ÷ 45 = 245
11025 ÷ 75 = 147
11025 ÷ 81 = 135
Therefore, the factors of 11025 are: 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 729, 1215, 2025, 3645, 55125, and 11025.
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 11025 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
11025 ÷ 3 = 3675
3675 ÷ 3 = 1225
1225 ÷ 5 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 11025 are 3, 5, and 7.
The prime factorization of 11025 is: 3² × 5² × 7².
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 11025 is divided by 3 to get 3675.
Step 2: Now divide 3675 by 3 to get 1225.
Step 3: Then divide 1225 by 5 to get 245.
Step 4: Divide 245 by 5 to get 49.
Step 5: Divide 49 by 7 to get 7.
Here, 7 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 11025 is: 3² × 5² × 7².
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 11025: (1, 11025), (3, 3675), (5, 2205), (9, 1225), (15, 735), (25, 441), (27, 407), (45, 245), (75, 147), and (81, 135).
Negative factor pairs of 11025: (-1, -11025), (-3, -3675), (-5, -2205), (-9, -1225), (-15, -735), (-25, -441), (-27, -407), (-45, -245), (-75, -147), and (-81, -135).
Common Mistakes and How to Avoid Them in Factors of 11025
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 11025, 1 and 11025 are also factors.
Factors of 11025 Examples
Problem 1
There are 81 flowers and 11025 petals. How many petals does each flower have?
Each flower has 135 petals.
Explanation
To find out the petals per flower, we need to divide the total petals by the total flowers.
11025/81 = 135
Problem 2
A square garden has an area of 11025 square meters. What is the length of one side of the garden?
105 meters.
Explanation
To find the side length of the garden, we use the formula for the area of a square,
Area = side × side
11025 = side²
To find the side, take the square root of 11025.
√11025 = 105
Problem 3
There are 45 boxes and 11025 apples. How many apples are in each box?
Each box will have 245 apples.
Explanation
To find the apples in each box, divide the total apples by the number of boxes.
11025/45 = 245
Problem 4
In a concert, there are 11025 seats, and the hall is divided into 135 sections. How many seats are there in each section?
There are 81 seats in each section.
Explanation
Dividing the total seats by the number of sections will give the number of seats per section.
11025/135 = 81
Problem 5
11025 bricks need to be arranged in 405 stacks. How many bricks will go in each stack?
Each stack will have 27 bricks.
Explanation
Divide the total bricks by the number of stacks.
11025/405 = 27
FAQs on Factors of 11025
1.What are the factors of 11025?
2.Mention the prime factors of 11025.
3.Is 11025 a multiple of 9?
4.Mention the factor pairs of 11025?
5.What is the square of 105?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 11025?
7.What are some fun ways kids in Bahrain can practice Factors of 11025 with numbers?
8.What role do numbers and Factors of 11025 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 11025 skills?
Important Glossaries for Factor of 11025
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 11025 are 1, 3, 5, 9, etc.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 7 are prime factors of 11025.
- 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 11025 are (1, 11025), (3, 3675), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 11025 = 3² × 5² × 7².
- Multiples: The result of multiplying a number by an integer. For example, 11025 is a multiple of 9.
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About BrightChamps in Bahrain
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
: She loves to read number jokes and games.
