112 LearnersLast updated on May 26th, 2025
Factors of 1268
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 1268, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1268?
The numbers that divide 1268 evenly are known as factors of 1268. A factor of 1268 is a number that divides the number without remainder. The factors of 1268 are 1, 2, 4, 317, 634, and 1268.
Negative factors of 1268: -1, -2, -4, -317, -634, and -1268.
Prime factors of 1268: 2 and 317.
Prime factorization of 1268: 2² × 317.
The sum of factors of 1268: 1 + 2 + 4 + 317 + 634 + 1268 = 2226
How to Find Factors of 1268?
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 1268. Identifying the numbers which are multiplied to get the number 1268 is the multiplication method.
Step 1: Multiply 1268 by 1, 1268 × 1 = 1268.
Step 2: Check for other numbers that give 1268 after multiplying
2 × 634 = 1268
4 × 317 = 1268
Therefore, the positive factor pairs of 1268 are: (1, 1268), (2, 634), and (4, 317). All these factor pairs result in 1268. 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 1268 by 1, 1268 ÷ 1 = 1268.
Step 2: Continue dividing 1268 by the numbers until the remainder becomes 0.
1268 ÷ 1 = 1268
1268 ÷ 2 = 634
1268 ÷ 4 = 317
Therefore, the factors of 1268 are: 1, 2, 4, 317, 634, 1268.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1268 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1268 ÷ 2 = 634
634 ÷ 2 = 317
317 is a prime number. The prime factors of 1268 are 2 and 317. The prime factorization of 1268 is: 2² × 317.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1268 is divided by 2 to get 634.
Step 2: Now divide 634 by 2 to get 317. Here, 317 is a prime number and cannot be divided anymore. So, the prime factorization of 1268 is: 2² × 317.
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 1268: (1, 1268), (2, 634), and (4, 317).
- Negative factor pairs of 1268: (-1, -1268), (-2, -634), and (-4, -317).
Common Mistakes and How to Avoid Them in Factors of 1268
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 1268, 1 and 1268 are also factors.
Factors of 1268 Examples
Problem 1
A baker made 1268 cupcakes and wants to pack them in boxes of 4. How many boxes will he need?
317 boxes are needed.
Explanation
To find out how many boxes are needed, divide the total cupcakes by the number of cupcakes per box.
1268/4 = 317
Problem 2
A landscaper is arranging 1268 plants in rows of 2 for a garden. How many rows will there be?
There will be 634 rows.
Explanation
To find the number of rows, divide the total plants by the number of plants per row.
1268/2 = 634
Problem 3
A library received 1268 new books and plans to distribute them equally on 634 shelves. How many books will each shelf receive?
Each shelf will receive 2 books.
Explanation
To find the number of books per shelf, divide the total books by the number of shelves.
1268/634 = 2
Problem 4
A club has 1268 members and is forming teams of 317 members each. How many teams can they form?
They can form 4 teams.
Explanation
To find the number of teams, divide the total members by the number of members per team.
1268/317 = 4
Problem 5
A music store has 1268 CDs to organize into packs of 2. How many packs can they create?
They can create 634 packs.
Explanation
Divide total CDs by the number of CDs per pack.
1268/2 = 634
FAQs on Factors of 1268
1.What are the factors of 1268?
2.Mention the prime factors of 1268.
3.Is 1268 a multiple of 4?
4.Mention the factor pairs of 1268?
5.What is the square of 1268?
Important Glossaries for Factors of 1268
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1268 are 1, 2, 4, 317, 634, and 1268.
- Prime factors: The factors which are prime numbers. For example, 2 and 317 are prime factors of 1268.
- 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 1268 are (1, 1268), (2, 634), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, 1268 is expressed as 2² × 317.
- Multiple: A number that can be divided by another number without a remainder. For example, 1268 is a multiple of 4.
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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.
