113 LearnersLast updated on May 26th, 2025
Factors of 1255
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 1255, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1255?
The numbers that divide 1255 evenly are known as factors of 1255. A factor of 1255 is a number that divides the number without remainder. The factors of 1255 are 1, 5, 251, and 1255.
Negative factors of 1255: -1, -5, -251, and -1255.
Prime factors of 1255: 5 and 251.
Prime factorization of 1255: 5 × 251.
The sum of factors of 1255: 1 + 5 + 251 + 1255 = 1512
How to Find Factors of 1255?
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 pairs of numbers that multiply to give 1255. Identifying the numbers that are multiplied to get the number 1255 is the multiplication method.
Step 1: Multiply 1255 by 1, 1255 × 1 = 1255.
Step 2: Check for other numbers that give 1255 after multiplying 5 × 251 = 1255
Therefore, the positive factor pairs of 1255 are: (1, 1255) and (5, 251). All these factor pairs result in 1255. 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 that result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1255 by 1, 1255 ÷ 1 = 1255.
Step 2: Continue dividing 1255 by the numbers until the remainder becomes 0.
1255 ÷ 1 = 1255
1255 ÷ 5 = 251
1255 ÷ 251 = 5
1255 ÷ 1255 = 1
Therefore, the factors of 1255 are: 1, 5, 251, and 1255.
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 1255 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1255 ÷ 5 = 251
251 ÷ 251 = 1
The prime factors of 1255 are 5 and 251. The prime factorization of 1255 is: 5 × 251.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1255 is divided by 5 to get 251.
Step 2: 251 is already a prime number and cannot be divided further. So, the prime factorization of 1255 is: 5 × 251.
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 1255: (1, 1255) and (5, 251).
- Negative factor pairs of 1255: (-1, -1255) and (-5, -251).
Common Mistakes and How to Avoid Them in Factors of 1255
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 1255, 1 and 1255 are also factors.
Factors of 1255 Examples
Problem 1
There are 5 families and 1255 apples. How will they divide them equally?
They will get 251 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of families.
1255/5 = 251
Problem 2
A rectangular garden has a total area of 1255 square meters and a width of 5 meters. Find the length.
251 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1255 = length × 5
To find the value of length, we need to shift 5 to the left side.
1255/5 = length
Length = 251.
Problem 3
There are 251 bottles and 1255 labels. How many labels go on each bottle?
Each bottle will have 5 labels.
Explanation
To find the labels on each bottle, divide the total labels by the bottles.
1255/251 = 5
Problem 4
A class has 1255 pencils, and there are 5 pencil boxes. How many pencils are there in each box?
There are 251 pencils in each box.
Explanation
Dividing the pencils by the total boxes, we will get the number of pencils in each box.
1255/5 = 251
Problem 5
1255 books need to be arranged on 1 shelf. How many books will go on the shelf?
All 1255 books go on the shelf.
Explanation
Divide total books by shelves.
1255/1 = 1255
FAQs on Factors of 1255
1.What are the factors of 1255?
2.Mention the prime factors of 1255.
3.Is 1255 a multiple of 5?
4.Mention the factor pairs of 1255?
5.What is the square of 1255?
Important Glossaries for Factor of 1255
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1255 are 1, 5, 251, and 1255.
- Prime factors: The factors which are prime numbers. For example, 5 and 251 are prime factors of 1255.
- 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 1255 are (1, 1255) and (5, 251).
- Prime factorization: Expressing a number as the product of its prime factors. For 1255, it is 5 × 251.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 1255 are -1, -5, -251, and -1255.
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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.
