101 LearnersLast updated on May 26th, 2025
Factors of 1075
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 1075, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1075?
The numbers that divide 1075 evenly are known as factors of 1075.
A factor of 1075 is a number that divides the number without remainder.
The factors of 1075 are 1, 5, 215, and 1075.
Negative factors of 1075: -1, -5, -215, and -1075.
Prime factors of 1075: 5 and 43.
Prime factorization of 1075: 5 × 43.
The sum of factors of 1075: 1 + 5 + 215 + 1075 = 1296
How to Find Factors of 1075?
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 1075. Identifying the numbers which are multiplied to get the number 1075 is the multiplication method.
Step 1: Multiply 1075 by 1, 1075 × 1 = 1075.
Step 2: Check for other numbers that give 1075 after multiplying:
5 × 215 = 1075
Therefore, the positive factor pairs of 1075 are: (1, 1075) and (5, 215).
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 simple division method -
Step 1: Divide 1075 by 1, 1075 ÷ 1 = 1075.
Step 2: Continue dividing 1075 by the numbers until the remainder becomes 0.
1075 ÷ 1 = 1075
1075 ÷ 5 = 215
Therefore, the factors of 1075 are: 1, 5, 215, 1075.
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 1075 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1075 ÷ 5 = 215
215 ÷ 5 = 43
43 ÷ 43 = 1
The prime factors of 1075 are 5 and 43.
The prime factorization of 1075 is: 5 × 43.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1075 is divided by 5 to get 215.
Step 2: Now divide 215 by 5 to get 43.
Here, 43 is a prime number that cannot be divided anymore.
So, the prime factorization of 1075 is: 5 × 43.
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 1075: (1, 1075) and (5, 215).
Negative factor pairs of 1075: (-1, -1075) and (-5, -215).
Common Mistakes and How to Avoid Them in Factors of 1075
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 1075, 1 and 1075 are also factors.
Factors of 1075 Examples
Problem 1
There are 215 people and 1075 apples. How will they divide it equally?
They will get 5 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of people.
1075/215 = 5
Problem 2
A field is rectangular, the length of the field is 43 meters and the total area is 1075 square meters. Find the width?
25 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1075 = 43 × width
To find the value of width, we need to shift 43 to the left side.
1075/43 = width
Width = 25.
Problem 3
There are 5 containers and 1075 marbles. How many marbles will be in each container?
Each container will have 215 marbles.
Explanation
To find the marbles in each container, divide the total marbles by the number of containers.
1075/5 = 215
Problem 4
In a university, there are 1075 students, and 43 groups. How many students are there in each group?
There are 25 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1075/43 = 25
Problem 5
1075 books need to be arranged in 215 shelves. How many books will go on each shelf?
Each of the shelves has 5 books.
Explanation
Divide total books by shelves.
1075/215 = 5
FAQs on Factors of 1075
1.What are the factors of 1075?
2.Mention the prime factors of 1075.
3.Is 1075 a multiple of 5?
4.Mention the factor pairs of 1075?
5.What is the square of 1075?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 1075?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 1075 with numbers?
8.What role do numbers and Factors of 1075 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 1075 skills?
Important Glossaries for Factor of 1075
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1075 are 1, 5, 215, and 1075.
- Prime factors: The factors which are prime numbers. For example, 5 and 43 are prime factors of 1075.
- 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 1075 are (1, 1075) and (5, 215).
- Prime factorization: The method of expressing a number as the product of its prime factors. For 1075, it is 5 × 43.
- Multiple: A number is a multiple of another when it can be divided by that number without a remainder. For example, 1075 is a multiple of 5.
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About BrightChamps in Saudi Arabia
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.
