101 LearnersLast updated on May 26th, 2025
Factors of 1125
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 1125, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1125?
The numbers that divide 1125 evenly are known as factors of 1125.
A factor of 1125 is a number that divides the number without remainder.
The factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, and 1125.
Negative factors of 1125: -1, -3, -5, -9, -15, -25, -45, -75, -125, -225, -375, and -1125.
Prime factors of 1125: 3 and 5.
Prime factorization of 1125: 3×3×5×5×5.
The sum of factors of 1125: 1 + 3 + 5 + 9 + 15 + 25 + 45 + 75 + 125 + 225 + 375 + 1125 = 2003
How to Find Factors of 1125?
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 multiply to give 1125. Identifying the numbers which are multiplied to get the number 1125 is the multiplication method.
Step 1: Multiply 1125 by 1, 1125 × 1 = 1125.
Step 2: Check for other numbers that give 1125 after multiplying
3 × 375 = 1125
5 × 225 = 1125
9 × 125 = 1125
15 × 75 = 1125
25 × 45 = 1125
Therefore, the positive factor pairs of 1125 are: (1, 1125), (3, 375), (5, 225), (9, 125), (15, 75), (25, 45).
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1125 by 1, 1125 ÷ 1 = 1125.
Step 2: Continue dividing 1125 by the numbers until the remainder becomes 0.
1125 ÷ 1 = 1125
1125 ÷ 3 = 375
1125 ÷ 5 = 225
1125 ÷ 9 = 125 1
125 ÷ 15 = 75
1125 ÷ 25 = 45
Therefore, the factors of 1125 are: 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1125 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1125 ÷ 3 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 1125 are 3 and 5.
The prime factorization of 1125 is: 3×3×5×5×5.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1125 is divided by 3 to get 375.
Step 2: Now divide 375 by 3 to get 125.
Step 3: Then divide 125 by 5 to get 25.
Step 4: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1125 is: 3×3×5×5×5.
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 1125: (1, 1125), (3, 375), (5, 225), (9, 125), (15, 75), and (25, 45).
Negative factor pairs of 1125: (-1, -1125), (-3, -375), (-5, -225), (-9, -125), (-15, -75), and (-25, -45).
Common Mistakes and How to Avoid Them in Factors of 1125
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1125, 1 and 1125 are also factors.
Factors of 1125 Examples
Problem 1
There are 9 teams and 1125 points to distribute. How will they distribute it equally?
Each team will receive 125 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1125/9 = 125
Problem 2
A rectangular garden has a length of 25 meters and a total area of 1125 square meters. Find the width.
45 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1125 = 25 × width
To find the value of width, we need to shift 25 to the left side.
1125/25 = width
Width = 45.
Problem 3
There are 225 apples in a basket and 5 children. How many apples will each child get?
Each child will get 45 apples.
Explanation
To find the apples each child will get, divide the total apples by the number of children.
225/5 = 45
Problem 4
In a library, there are 1125 books, and 15 shelves. How many books are there on each shelf?
There are 75 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
1125/15 = 75
Problem 5
1125 students need to be seated in 25 buses. How many students will go on each bus?
Each bus will have 45 students.
Explanation
Divide total students by buses.
1125/25 = 45
FAQs on Factors of 1125
1.What are the factors of 1125?
2.Mention the prime factors of 1125.
3.Is 1125 a multiple of 5?
4.Mention the factor pairs of 1125?
5.What is the square of 1125?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1125?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1125 with numbers?
8.What role do numbers and Factors of 1125 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1125 skills?
Important Glossaries for Factors of 1125
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, and 1125.
- Prime factors: The factors which are prime numbers. For example, 3 and 5 are prime factors of 1125.
- 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 1125 are (1, 1125), (3, 375), etc.
- Prime factorization: Breaking down a number into its basic prime number components. For example, 1125 can be factorized as 3×3×5×5×5.
- Division Method: A method of finding factors by dividing the number by integers to find divisors that leave no remainder, such as 1125 ÷ 5 = 225.
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About BrightChamps in United Arab Emirates
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.
