Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 2 teams and 254 apples. How will they distribute them equally?
They will get 127 apples each.
To distribute the apples equally, we need to divide the total apples by the number of teams.
254/2 = 127
A rectangular plot has a length of 127 meters and a total area of 254 square meters. Find the width.
2 meters.
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.
There are 127 shelves and 254 books. How many books will be on each shelf?
Each shelf will have 2 books.
To find the books on each shelf, divide the total books by the number of shelves.
254/127 = 2
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.
Dividing the students by the total groups, we will get the number of students in each group.
254/2 = 127
254 copies need to be arranged in 127 rows. How many copies will go in each row?
Each row will have 2 copies.
Divide total copies by the number of rows.
254/127 = 2
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.
: She loves to read number jokes and games.