117 LearnersLast updated on May 26th, 2025
Factors of 1256
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 1256, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1256?
The numbers that divide 1256 evenly are known as factors of 1256. A factor of 1256 is a number that divides the number without a remainder. The factors of 1256 are 1, 2, 4, 8, 157, 314, 628, and 1256.
Negative factors of 1256: -1, -2, -4, -8, -157, -314, -628, and -1256.
Prime factors of 1256: 2 and 157.
Prime factorization of 1256: 2³ × 157.
The sum of factors of 1256: 1 + 2 + 4 + 8 + 157 + 314 + 628 + 1256 = 2370
How to Find Factors of 1256?
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 1256. Identifying the numbers which are multiplied to get the number 1256 is the multiplication method.
Step 1: Multiply 1256 by 1, 1256 × 1 = 1256.
Step 2: Check for other numbers that give 1256 after multiplying
2 × 628 = 1256
4 × 314 = 1256
8 × 157 = 1256
Therefore, the positive factor pairs of 1256 are: (1, 1256), (2, 628), (4, 314), (8, 157). All these factor pair results in 1256. 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 1256 by 1, 1256 ÷ 1 = 1256.
Step 2: Continue dividing 1256 by the numbers until the remainder becomes 0.
1256 ÷ 1 = 1256
1256 ÷ 2 = 628
1256 ÷ 4 = 314
1256 ÷ 8 = 157
Therefore, the factors of 1256 are: 1, 2, 4, 8, 157, 314, 628, 1256.
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 1256 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1256 ÷ 2 = 628
628 ÷ 2 = 314
314 ÷ 2 = 157
157 ÷ 157 = 1
The prime factors of 1256 are 2 and 157. The prime factorization of 1256 is: 2³ × 157.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1256 is divided by 2 to get 628.
Step 2: Now divide 628 by 2 to get 314.
Step 3: Then divide 314 by 2 to get 157. Here, 157 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1256 is: 2³ × 157.
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 1256: (1, 1256), (2, 628), (4, 314), (8, 157).
- Negative factor pairs of 1256: (-1, -1256), (-2, -628), (-4, -314), (-8, -157).
Common Mistakes and How to Avoid Them in Factors of 1256
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 1256, 1 and 1256 is also a factor.
Factors of 1256 Examples
Problem 1
There are 8 employees and 1256 tasks. How will they distribute them equally?
They will get 157 tasks each.
Explanation
To distribute the tasks equally, we need to divide the total tasks by the number of employees.
1256/8 = 157
Problem 2
A rectangular garden has a length of 4 meters and a total area of 1256 square meters. Find the width.
314 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1256 = 4 × width
To find the value of the width, we need to shift 4 to the left side.
1256/4 = width
Width = 314.
Problem 3
There are 2 boxes and 1256 marbles. How many marbles will be in each box?
Each box will have 628 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
1256/2 = 628
Problem 4
In a class, there are 1256 students, and 157 groups. How many students are there in each group?
There are 8 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1256/157 = 8
Problem 5
1256 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 314 books.
Explanation
Divide the total books by shelves.
1256/4 = 314
FAQs on Factors of 1256
1.What are the factors of 1256?
2.Mention the prime factors of 1256.
3.Is 1256 a multiple of 4?
4.Mention the factor pairs of 1256.
5.What is the square of 1256?
Important Glossaries for Factors of 1256
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1256 are 1, 2, 4, 8, 157, 314, 628, and 1256.
- Prime factors: The factors which are prime numbers. For example, 2 and 157 are prime factors of 1256.
- 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 1256 are (1, 1256), (2, 628), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1256 is 2³ × 157.
- Negative factors: Factors that are negative whole numbers. For example, the negative factors of 1256 include -1, -2, -4, etc.
Explore More numbers
Previous to Factors of 1256
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.
