100 LearnersLast updated on May 26th, 2025
Factors of 1276
Factors are the numbers that divide any given number evenly without a 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 1276, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1276?
The numbers that divide 1276 evenly are known as factors of 1276.
A factor of 1276 is a number that divides the number without a remainder.
The factors of 1276 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 319, 418, 638, and 1276.
Negative factors of 1276: -1, -2, -4, -11, -19, -22, -38, -44, -76, -209, -319, -418, -638, and -1276.
Prime factors of 1276: 2, 11, and 19.
Prime factorization of 1276: 2² × 11 × 19.
The sum of factors of 1276: 1 + 2 + 4 + 11 + 19 + 22 + 38 + 44 + 76 + 209 + 319 + 418 + 638 + 1276 = 3077
How to Find Factors of 1276?
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 1276. Identifying the numbers which are multiplied to get the number 1276 is the multiplication method.
Step 1: Multiply 1276 by 1, 1276 × 1 = 1276.
Step 2: Check for other numbers that give 1276 after multiplying
2 × 638 = 1276
4 × 319 = 1276
11 × 116 = 1276
19 × 67 = 1276
Therefore, the positive factor pairs of 1276 are: (1, 1276), (2, 638), (4, 319), (11, 116), and (19, 67).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 1276 by 1, 1276 ÷ 1 = 1276.
Step 2: Continue dividing 1276 by the numbers until the remainder becomes 0.
1276 ÷ 1 = 1276
1276 ÷ 2 = 638
1276 ÷ 4 = 319
1276 ÷ 11 = 116
1276 ÷ 19 = 67
Therefore, the factors of 1276 are: 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 319, 418, 638, and 1276.
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 1276 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1276 ÷ 2 = 638
638 ÷ 2 = 319
319 ÷ 11 = 29
29 ÷ 19 = 1
The prime factors of 1276 are 2, 11, and 19.
The prime factorization of 1276 is: 2² × 11 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1276 is divided by 2 to get 638.
Step 2: Now divide 638 by 2 to get 319.
Step 3: Then divide 319 by 11 to get 29.
Step 4: Divide 29 by 19 to get 1.
Here, 19 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1276 is: 2² × 11 × 19.
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 1276: (1, 1276), (2, 638), (4, 319), (11, 116), (19, 67).
Negative factor pairs of 1276: (-1, -1276), (-2, -638), (-4, -319), (-11, -116), (-19, -67).
Common Mistakes and How to Avoid Them in Factors of 1276
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 1276, 1 and 1276 are also factors.
Factors of 1276 Examples
Problem 1
A gardener has 1276 plants and wants to plant them in rows with 638 plants each. How many rows will he have?
He will have 2 rows.
Explanation
To find the number of rows, we need to divide the total number of plants by the number of plants per row.
1276/638 = 2
Problem 2
A rectangular garden has a length of 19 meters and a total area of 1276 square meters. Find the width?
67 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1276 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1276/19 = width
Width = 67.
Problem 3
There are 22 tables and 1276 chairs. How many chairs will be placed around each table?
Each table will have 58 chairs.
Explanation
To find the chairs around each table, divide the total chairs by the number of tables.
1276/22 = 58
Problem 4
A class has 1276 students and is divided into 116 groups. How many students are in each group?
There are 11 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1276/116 = 11
Problem 5
1276 apples need to be packed into 38 boxes. How many apples will go in each box?
Each of the boxes has 33.6 apples.
Explanation
Divide total apples by boxes. 1276/38 = 33.6
FAQs on Factors of 1276
1.What are the factors of 1276?
2.Mention the prime factors of 1276.
3.Is 1276 a multiple of 4?
4.Mention the factor pairs of 1276?
5.What is the square of 1276?
Important Glossaries for Factors of 1276
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1276 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 319, 418, 638, and 1276.
- Prime factors: The factors which are prime numbers. For example, 2, 11, and 19 are prime factors of 1276.
- 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 1276 are (1, 1276), (2, 638), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1276 is 2² × 11 × 19.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method to find factors of 1276.
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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.
