101 LearnersLast updated on May 26th, 2025
Factors of 1073
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 1073, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1073?
The numbers that divide 1073 evenly are known as factors of 1073.
A factor of 1073 is a number that divides the number without remainder.
The factors of 1073 are 1, 29, 37, and 1073.
Negative factors of 1073: -1, -29, -37, and -1073.
Prime factors of 1073: 29 and 37.
Prime factorization of 1073: 29 × 37.
The sum of factors of 1073: 1 + 29 + 37 + 1073 = 1140
How to Find Factors of 1073?
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 1073. Identifying the numbers which are multiplied to get the number 1073 is the multiplication method.
Step 1: Multiply 1073 by 1, 1073 × 1 = 1073.
Step 2: Check for other numbers that give 1073 after multiplying
29 × 37 = 1073
Therefore, the positive factor pairs of 1073 are: (1, 1073), (29, 37).
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 the simple division method -
Step 1: Divide 1073 by 1, 1073 ÷ 1 = 1073.
Step 2: Continue dividing 1073 by the numbers until the remainder becomes 0.
1073 ÷ 1 = 1073
1073 ÷ 29 = 37
1073 ÷ 37 = 29
Therefore, the factors of 1073 are: 1, 29, 37, 1073.
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 1073 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1073 ÷ 29 = 37
37 ÷ 37 = 1
The prime factors of 1073 are 29 and 37.
The prime factorization of 1073 is: 29 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1073 is divided by 29 to get 37.
Step 2: Now divide 37 by 37 to get 1.
Both 29 and 37 are prime numbers, that cannot be divided anymore.
So, the prime factorization of 1073 is: 29 × 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 1073: (1, 1073), (29, 37).
Negative factor pairs of 1073: (-1, -1073), (-29, -37).
Common Mistakes and How to Avoid Them in Factors of 1073
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 1073, 1 and 1073 are also factors.
Factors of 1073 Examples
Problem 1
There are 29 books and 1073 pages. How will they distribute the pages equally among the books?
They will get 37 pages each.
Explanation
To distribute the pages equally, we need to divide the total pages by the number of books.
1073/29 = 37
Problem 2
A theater has 1073 seats and 37 rows. Find the number of seats per row.
29 seats.
Explanation
To find the seats per row, we use the formula,
Total seats = rows × seats per row
1073 = 37 × seats per row
To find the value of seats per row, we need to divide 1073 by 37.
1073/37 = seats per row
Seats per row = 29.
Problem 3
There are 1073 marbles and 37 boxes. How many marbles will be in each box?
Each box will have 29 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
1073/37 = 29
Problem 4
A class has 1073 students, and 29 groups. How many students are there in each group?
There are 37 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1073/29 = 37
Problem 5
1073 chairs need to be arranged in 29 rows. How many chairs will go in each row?
Each of the rows has 37 chairs.
Explanation
Divide total chairs by the number of rows.
1073/29 = 37
FAQs on Factors of 1073
1.What are the factors of 1073?
2.Mention the prime factors of 1073.
3.Is 1073 a multiple of 29?
4.Mention the factor pairs of 1073?
5.What is the square of 1073?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1073?
7.What are some fun ways kids in United Kingdom can practice Factors of 1073 with numbers?
8.What role do numbers and Factors of 1073 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 1073 skills?
Important Glossaries for Factors of 1073
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1073 are 1, 29, 37, and 1073.
- Prime factors: The factors which are prime numbers. For example, 29 and 37 are prime factors of 1073.
- 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 1073 are (1, 1073) and (29, 37).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1073 is 29 × 37.
- Multiple: A number that can be divided by another number without a remainder. For example, 1073 is a multiple of 29.
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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
: She loves to read number jokes and games.
