102 LearnersLast updated on May 26th, 2025
Factors of 296
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 296, how they are used in real life, and tips to learn them quickly.
What are the Factors of 296?
The numbers that divide 296 evenly are known as factors of 296.
A factor of 296 is a number that divides the number without remainder.
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, and 296.
Negative factors of 296: -1, -2, -4, -8, -37, -74, -148, and -296.
Prime factors of 296: 2 and 37.
Prime factorization of 296: 2³ × 37.
The sum of factors of 296: 1 + 2 + 4 + 8 + 37 + 74 + 148 + 296 = 570
How to Find Factors of 296?
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 296. Identifying the numbers which are multiplied to get the number 296 is the multiplication method.
Step 1: Multiply 296 by 1, 296 × 1 = 296.
Step 2: Check for other numbers that give 296 after multiplying
2 × 148 = 296
4 × 74 = 296
8 × 37 = 296
Therefore, the positive factor pairs of 296 are: (1, 296), (2, 148), (4, 74), (8, 37).
All these factor pairs result in 296.
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 296 by 1, 296 ÷ 1 = 296.
Step 2: Continue dividing 296 by the numbers until the remainder becomes 0.
296 ÷ 1 = 296
296 ÷ 2 = 148
296 ÷ 4 = 74
296 ÷ 8 = 37
Therefore, the factors of 296 are: 1, 2, 4, 8, 37, 74, 148, and 296.
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 296 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
296 ÷ 2 = 148
148 ÷ 2 = 74
74 ÷ 2 = 37
37 ÷ 37 = 1
The prime factors of 296 are 2 and 37.
The prime factorization of 296 is: 2³ × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 296 is divided by 2 to get 148.
Step 2: Now divide 148 by 2 to get 74.
Step 3: Then divide 74 by 2 to get 37.
Here, 37 is a prime number, which cannot be divided further.
So, the prime factorization of 296 is: 2³ × 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 296: (1, 296), (2, 148), (4, 74), and (8, 37).
Negative factor pairs of 296: (-1, -296), (-2, -148), (-4, -74), and (-8, -37).
Common Mistakes and How to Avoid Them in Factors of 296
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 296, 1 and 296 are also factors.
Factors of 296 Examples
Problem 1
There are 8 students participating in a project, and they have 296 pages to review. How many pages will each student review equally?
Each student will review 37 pages.
Explanation
To divide the pages equally, we need to divide the total pages by the number of students.
296/8 = 37
Problem 2
A garden is rectangular, the length of the garden is 37 meters, and the total area is 296 square meters. Find the width?
8 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
296 = 37 × width
To find the value of width, we need to shift 37 to the left side.
296/37 = width
Width = 8.
Problem 3
There are 4 shelves, and 296 books need to be arranged equally. How many books will go on each shelf?
Each shelf will have 74 books.
Explanation
To find the books on each shelf, divide the total books by the shelves.
296/4 = 74
Problem 4
A class has 148 students, and they need to be divided into 2 equal groups. How many students will be in each group?
There are 74 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
148/2 = 74
Problem 5
296 apples need to be packed into 37 baskets equally. How many apples will each basket contain?
Each basket will contain 8 apples.
Explanation
Divide total apples by baskets.
296/37 = 8
FAQs on Factors of 296
1.What are the factors of 296?
2.Mention the prime factors of 296.
3.Is 296 a multiple of 4?
4.Mention the factor pairs of 296?
5.What is the square of 296?
6.How can children in Canada use numbers in everyday life to understand Factors of 296?
7.What are some fun ways kids in Canada can practice Factors of 296 with numbers?
8.What role do numbers and Factors of 296 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 296 skills?
Important Glossaries for Factor of 296
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 296 are 1, 2, 4, 8, 37, 74, 148, and 296.
- Prime factors: The factors which are prime numbers. For example, 2 and 37 are prime factors of 296.
- 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 296 are (1, 296), (2, 148), etc.
- Prime factorization: Breaking down a number into a product of its prime factors. For example, the prime factorization of 296 is 2³ × 37.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
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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.
