101 LearnersLast updated on May 26th, 2025
Factors of 276
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 276, how they are used in real life, and tips to learn them quickly.
What are the Factors of 276?
The numbers that divide 276 evenly are known as factors of 276.
A factor of 276 is a number that divides the number without remainder.
The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276.
Negative factors of 276: -1, -2, -3, -4, -6, -12, -23, -46, -69, -92, -138, and -276.
Prime factors of 276: 2, 3, and 23.
Prime factorization of 276: 2² × 3 × 23.
The sum of factors of 276: 1 + 2 + 3 + 4 + 6 + 12 + 23 + 46 + 69 + 92 + 138 + 276 = 672
How to Find Factors of 276?
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 276. Identifying the numbers which are multiplied to get the number 276 is the multiplication method.
Step 1: Multiply 276 by 1, 276 × 1 = 276.
Step 2: Check for other numbers that give 276 after multiplying
2 × 138 = 276
3 × 92 = 276
4 × 69 = 276
6 × 46 = 276
12 × 23 = 276
Therefore, the positive factor pairs of 276 are: (1, 276), (2, 138), (3, 92), (4, 69), (6, 46), (12, 23).
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 276 by 1, 276 ÷ 1 = 276.
Step 2: Continue dividing 276 by the numbers until the remainder becomes 0.
276 ÷ 1 = 276
276 ÷ 2 = 138
276 ÷ 3 = 92
276 ÷ 4 = 69
276 ÷ 6 = 46
276 ÷ 12 = 23
Therefore, the factors of 276 are: 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276.
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 276 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
276 ÷ 2 = 138
138 ÷ 2 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1
The prime factors of 276 are 2, 3, and 23.
The prime factorization of 276 is: 2² × 3 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 276 is divided by 2 to get 138.
Step 2: Now divide 138 by 2 to get 69.
Step 3: Then divide 69 by 3 to get 23. Here, 23 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 276 is: 2² × 3 × 23.
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 276: (1, 276), (2, 138), (3, 92), (4, 69), (6, 46), (12, 23).
Negative factor pairs of 276: (-1, -276), (-2, -138), (-3, -92), (-4, -69), (-6, -46), (-12, -23).
Common Mistakes and How to Avoid Them in Factors of 276
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 276, 1 and 276 are also factors.
Factors of 276 Examples
Problem 1
There are 276 students and 12 buses. How will they be divided equally among the buses?
They will get 23 students per bus.
Explanation
To divide the students equally, we need to divide the total students by the number of buses. 276/12 = 23
Problem 2
A rectangular field has a length of 23 meters and a total area of 276 square meters. Find the width.
12 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
276 = 23 × width
To find the value of width, we need to shift 23 to the left side.
276/23 = width
Width = 12.
Problem 3
There are 46 boxes and 276 apples. How many apples will be in each box?
Each box will have 6 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
276/46 = 6
Problem 4
In a class, there are 276 students, and 69 groups. How many students are there in each group?
There are 4 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
276/69 = 4
Problem 5
276 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 46 books.
Explanation
Divide total books by shelves.
276/6 = 46
FAQs on Factors of 276
1.What are the factors of 276?
2.Mention the prime factors of 276.
3.Is 276 a multiple of 4?
4.Mention the factor pairs of 276?
5.What is the square of 276?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 276?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 276 with numbers?
8.What role do numbers and Factors of 276 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 276 skills?
Important Glossaries for Factor of 276
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, and 276.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 23 are prime factors of 276.
- 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 276 are (1, 276), (2, 138), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 276 is 2² × 3 × 23.
- Multiplication method: A method to find factors by identifying number pairs that multiply to a given number. For example, using the multiplication method for 276 would involve identifying pairs such as (12, 23).
Explore More numbers
Previous to Factors of 276
About BrightChamps in United Arab Emirates
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.
