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 508, how they are used in real life, and tips to learn them quickly.
The numbers that divide 508 evenly are known as factors of 508.
A factor of 508 is a number that divides the number without remainder.
The factors of 508 are 1, 2, 4, 127, 254, and 508.
Negative factors of 508: -1, -2, -4, -127, -254, and -508.
Prime factors of 508: 2 and 127.
Prime factorization of 508: 2² × 127.
The sum of factors of 508: 1 + 2 + 4 + 127 + 254 + 508 = 896
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 508. Identifying the numbers which are multiplied to get the number 508 is the multiplication method.
Step 1: Multiply 508 by 1, 508 × 1 = 508.
Step 2: Check for other numbers that give 508 after multiplying
2 × 254 = 508
4 × 127 = 508
Therefore, the positive factor pairs of 508 are: (1, 508), (2, 254), and (4, 127).
All these factor pairs result in 508.
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 508 by 1, 508 ÷ 1 = 508.
Step 2: Continue dividing 508 by the numbers until the remainder becomes 0.
508 ÷ 1 = 508
508 ÷ 2 = 254
508 ÷ 4 = 127
Therefore, the factors of 508 are: 1, 2, 4, 127, 254, 508.
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 508 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
508 ÷ 2 = 254
254 ÷ 2 = 127
127 ÷ 127 = 1
The prime factors of 508 are 2 and 127.
The prime factorization of 508 is: 2² × 127.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 508 is divided by 2 to get 254.
Step 2: Now divide 254 by 2 to get 127.
Step 3: 127 is a prime number, that cannot be divided anymore.
So, the prime factorization of 508 is: 2² × 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 508: (1, 508), (2, 254), and (4, 127).
Negative factor pairs of 508: (-1, -508), (-2, -254), and (-4, -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 4 teams and 508 points. How will they distribute the points equally among the teams?
They will get 127 points each.
To distribute the points equally, we need to divide the total points by the number of teams.
508/4 = 127
A rectangular garden has a width of 4 meters and a total area of 508 square meters. Find the length.
127 meters.
To find the length of the garden, we use the formula,
Area = length × width
508 = length × 4
To find the value of the length, we need to divide 508 by 4.
508/4 = length
Length = 127.
There are 127 packages and 508 items. How many items will be in each package?
Each package will have 4 items.
To find the items in each package, divide the total items by the number of packages.
508/127 = 4
In a class, there are 508 books, and 2 shelves. How many books are there on each shelf?
There are 254 books on each shelf.
Dividing the books by the total shelves, we will get the number of books on each shelf.
508/2 = 254
508 toys need to be packed into 127 boxes. How many toys will go into each box?
Each box will have 4 toys.
Divide total toys by the number of boxes.
508/127 = 4
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.