100 LearnersLast updated on May 26th, 2025
Factors of 292
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 292, how they are used in real life, and tips to learn them quickly.
What are the Factors of 292?
The numbers that divide 292 evenly are known as factors of 292.
A factor of 292 is a number that divides the number without remainder.
The factors of 292 are 1, 2, 4, 73, 146, and 292.
Negative factors of 292: -1, -2, -4, -73, -146, and -292.
Prime factors of 292: 2 and 73.
Prime factorization of 292: 2² × 73.
The sum of factors of 292: 1 + 2 + 4 + 73 + 146 + 292 = 518
How to Find Factors of 292?
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 292. Identifying the numbers which are multiplied to get the number 292 is the multiplication method.
Step 1: Multiply 292 by 1, 292 × 1 = 292.
Step 2: Check for other numbers that give 292 after multiplying
2 × 146 = 292
4 × 73 = 292
Therefore, the positive factor pairs of 292 are: (1, 292), (2, 146), and (4, 73).
All these factor pairs result in 292.
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 a simple division method -
Step 1: Divide 292 by 1, 292 ÷ 1 = 292.
Step 2: Continue dividing 292 by the numbers until the remainder becomes 0.
292 ÷ 1 = 292
292 ÷ 2 = 146
292 ÷ 4 = 73
Therefore, the factors of 292 are: 1, 2, 4, 73, 146, 292.
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 292 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
292 ÷ 2 = 146
146 ÷ 2 = 73
73 ÷ 73 = 1
The prime factors of 292 are 2 and 73.
The prime factorization of 292 is: 2² × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 292 is divided by 2 to get 146.
Step 2: Now divide 146 by 2 to get 73.
Step 3: Here, 73 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 292 is: 2² × 73.
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 292: (1, 292), (2, 146), and (4, 73).
Negative factor pairs of 292: (-1, -292), (-2, -146), and (-4, -73).
Common Mistakes and How to Avoid Them in Factors of 292
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 292, 1 and 292 are also factors.
Factors of 292 Examples
Problem 1
A group of 146 students wants to visit a museum. If the museum allows only groups of 2 students, how many full groups can they make?
They can make 73 full groups.
Explanation
To divide the students equally into groups, we need to divide the total students by the group size.
146/2 = 73
Problem 2
A rectangular garden has a length of 73 meters and the total area is 292 square meters. Find the width.
4 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
292 = 73 × width
To find the value of width, we need to shift 73 to the left side.
292/73 = width
Width = 4.
Problem 3
There are 292 apples and each box can hold 2 apples. How many boxes are needed?
146 boxes are needed.
Explanation
To find the number of boxes needed, divide the total apples by the capacity of each box.
292/2 = 146
Problem 4
A class has 292 students, and 73 teams need to be formed. How many students will be in each team?
There will be 4 students in each team.
Explanation
Dividing the students by the total teams, we will get the number of students in each team.
292/73 = 4
Problem 5
292 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each shelf will have 73 books.
Explanation
Divide total books by shelves.
292/4 = 73
FAQs on Factors of 292
1.What are the factors of 292?
2.Mention the prime factors of 292.
3.Is 292, a multiple of 4?
4.Mention the factor pairs of 292?
5.What is the square of 292?
6.How can children in Canada use numbers in everyday life to understand Factors of 292?
7.What are some fun ways kids in Canada can practice Factors of 292 with numbers?
8.What role do numbers and Factors of 292 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 292 skills?
Important Glossaries for Factors of 292
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 292 are 1, 2, 4, 73, 146, and 292.
- Prime factors: The factors which are prime numbers. For example, 2 and 73 are prime factors of 292.
- 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 292 are (1, 292), (2, 146), and (4, 73).
- Prime factorization: The expression of a number as a product of its prime factors. For example, 292 is expressed as 2² × 73.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using multiplication to find that 73 × 4 = 292.
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About BrightChamps in Canada
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.
