101 LearnersLast updated on May 26th, 2025
Factors of 1074
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 1074, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1074?
The numbers that divide 1074 evenly are known as factors of 1074.
A factor of 1074 is a number that divides the number without remainder.
The factors of 1074 are 1, 2, 3, 6, 179, 358, 537, and 1074.
Negative factors of 1074: -1, -2, -3, -6, -179, -358, -537, and -1074.
Prime factors of 1074: 2, 3, and 179.
Prime factorization of 1074: 2 × 3 × 179.
The sum of factors of 1074: 1 + 2 + 3 + 6 + 179 + 358 + 537 + 1074 = 2160
How to Find Factors of 1074?
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 1074. Identifying the numbers which are multiplied to get the number 1074 is the multiplication method.
Step 1: Multiply 1074 by 1, 1074 × 1 = 1074.
Step 2: Check for other numbers that give 1074 after multiplying
2 × 537 = 1074
3 × 358 = 1074
6 × 179 = 1074
Therefore, the positive factor pairs of 1074 are: (1, 1074), (2, 537), (3, 358), (6, 179).
All these factor pairs result in 1074.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 1074 by 1, 1074 ÷ 1 = 1074.
Step 2: Continue dividing 1074 by the numbers until the remainder becomes 0.
1074 ÷ 1 = 1074
1074 ÷ 2 = 537
1074 ÷ 3 = 358
1074 ÷ 6 = 179
Therefore, the factors of 1074 are: 1, 2, 3, 6, 179, 358, 537, 1074.
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 1074 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1074 ÷ 2 = 537
537 ÷ 3 = 179
179 ÷ 179 = 1
The prime factors of 1074 are 2, 3, and 179.
The prime factorization of 1074 is: 2 × 3 × 179.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 1074 is divided by 2 to get 537.
Step 2: Now divide 537 by 3 to get 179.
Here, 179 is a prime number, and it cannot be divided further.
So, the prime factorization of 1074 is: 2 × 3 × 179.
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 1074: (1, 1074), (2, 537), (3, 358), and (6, 179).
Negative factor pairs of 1074: (-1, -1074), (-2, -537), (-3, -358), and (-6, -179).
Common Mistakes and How to Avoid Them in Factors of 1074
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 1074, 1 and 1074 are also factors.
Factors of 1074 Examples
Problem 1
There are 6 teams and 1074 points to be distributed equally among them. How many points will each team get?
Each team will get 179 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1074/6 = 179
Problem 2
A rectangle has a length of 3 meters and a total area of 1074 square meters. Find the width?
The width is 358 meters.
Explanation
To find the width of the rectangle, we use the formula,
Area = length × width
1074 = 3 × width
To find the value of width, we need to divide the area by the length.
1074/3 = width
Width = 358.
Problem 3
There are 179 students and 1074 books. How many books will each student receive?
Each student will receive 6 books.
Explanation
To find the number of books each student will receive, divide the total number of books by the number of students.
1074/179 = 6
Problem 4
A concert hall has 1074 seats and 2 sections. How many seats are in each section?
There are 537 seats in each section.
Explanation
Dividing the total number of seats by the number of sections, we will get the number of seats in each section.
1074/2 = 537
Problem 5
1074 apples need to be placed in 3 baskets. How many apples will go in each basket?
Each basket will have 358 apples.
Explanation
Divide the total number of apples by the number of baskets.
1074/3 = 358
FAQs on Factors of 1074
1.What are the factors of 1074?
2.Mention the prime factors of 1074.
3.Is 1074 a multiple of 3?
4.Mention the factor pairs of 1074?
5.What is the square of 1074?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 1074?
7.What are some fun ways kids in Indonesia can practice Factors of 1074 with numbers?
8.What role do numbers and Factors of 1074 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 1074 skills?
Important Glossaries for Factors of 1074
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1074 are 1, 2, 3, 6, 179, 358, 537, and 1074.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 179 are prime factors of 1074.
- 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 1074 are (1, 1074), (2, 537), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1074 is 2 × 3 × 179.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 1074 is a multiple of 3.
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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
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