119 LearnersLast updated on May 26th, 2025
Factors of 254
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 254, how they are used in real life, and tips to learn them quickly.
What are the Factors of 254?
The numbers that divide 254 evenly are known as factors of 254.
A factor of 254 is a number that divides the number without remainder.
The factors of 254 are 1, 2, 127, and 254.
Negative factors of 254: -1, -2, -127, and -254.
Prime factors of 254: 2 and 127.
Prime factorization of 254: 2 × 127.
The sum of factors of 254: 1 + 2 + 127 + 254 = 384
How to Find Factors of 254?
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 254. Identifying the numbers which are multiplied to get the number 254 is the multiplication method.
Step 1: Multiply 254 by 1, 254 × 1 = 254.
Step 2: Check for other numbers that give 254 after multiplying 2 × 127 = 254
Therefore, the positive factor pairs of 254 are: (1, 254), (2, 127).
All these factor pairs result in 254. 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 254 by 1, 254 ÷ 1 = 254.
Step 2: Continue dividing 254 by the numbers until the remainder becomes 0.
254 ÷ 1 = 254
254 ÷ 2 = 127
Therefore, the factors of 254 are: 1, 2, 127, 254.
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 254 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
254 ÷ 2 = 127
127 ÷ 127 = 1
The prime factors of 254 are 2 and 127.
The prime factorization of 254 is: 2 × 127.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 254 is divided by 2 to get 127.
Step 2: Now divide 127 by itself to get 1.
Here, 127 is a prime number, that cannot be divided anymore.
So, the prime factorization of 254 is: 2 × 127.
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 254: (1, 254), (2, 127).
Negative factor pairs of 254: (-1, -254), (-2, -127).
Common Mistakes and How to Avoid Them in Factors of 254
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 254, 1 and 254 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 254 include -1, -2, -127, etc.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be factors
For example, thinking 1.5 as a factor, because 254/1.5 = 169.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 254 are prime numbers.
For example, 2 and 127 are the prime factors of 254, but it has other factors like 1, 254.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 254 as 2 × 127 and missing key factors.
Factors of 254 Examples
Problem 1
There are 2 teams and 254 apples. How will they distribute them equally?
They will get 127 apples each.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of teams.
254/2 = 127
Problem 2
A rectangular plot has a length of 127 meters and a total area of 254 square meters. Find the width.
2 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width
254 = 127 × width
To find the value of width, we need to shift 127 to the left side.
254/127 = width
Width = 2.
Problem 3
There are 127 shelves and 254 books. How many books will be on each shelf?
Each shelf will have 2 books.
Explanation
To find the books on each shelf, divide the total books by the number of shelves.
254/127 = 2
Problem 4
In a class, there are 254 students, and 2 groups. How many students are there in each group?
There are 127 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
254/2 = 127
Problem 5
254 copies need to be arranged in 127 rows. How many copies will go in each row?
Each row will have 2 copies.
Explanation
Divide total copies by the number of rows.
254/127 = 2
FAQs on Factors of 254
1.What are the factors of 254?
2.Mention the prime factors of 254.
3.Is 254 a multiple of 2?
4.Mention the factor pairs of 254.
5.What is the square of 254?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 254?
7.What are some fun ways kids in Bahrain can practice Factors of 254 with numbers?
8.What role do numbers and Factors of 254 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 254 skills?
Important Glossaries for Factors of 254
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 254 are 1, 2, 127, and 254.
- Prime factors: The factors which are prime numbers. For example, 2 and 127 are prime factors of 254.
- 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 254 are (1, 254), (2, 127).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 254 is 2 × 127.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 254 is a multiple of 2.
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About BrightChamps in Bahrain
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.
