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 590, how they are used in real life, and tips to learn them quickly.
The numbers that divide 590 evenly are known as factors of 590.
A factor of 590 is a number that divides the number without remainder.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, and 590.
Negative factors of 590: -1, -2, -5, -10, -59, -118, -295, and -590.
Prime factors of 590: 2, 5, and 59.
Prime factorization of 590: 2 × 5 × 59.
The sum of factors of 590: 1 + 2 + 5 + 10 + 59 + 118 + 295 + 590 = 1080
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 590. Identifying the numbers which are multiplied to get the number 590 is the multiplication method.
Step 1: Multiply 590 by 1, 590 × 1 = 590.
Step 2: Check for other numbers that give 590 after multiplying
2 × 295 = 590
5 × 118 = 590
10 × 59 = 590
Therefore, the positive factor pairs of 590 are: (1, 590), (2, 295), (5, 118), and (10, 59). All these factor pairs result in 590. 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 590 by 1, 590 ÷ 1 = 590.
Step 2: Continue dividing 590 by the numbers until the remainder becomes 0.
590 ÷ 1 = 590
590 ÷ 2 = 295
590 ÷ 5 = 118
590 ÷ 10 = 59
Therefore, the factors of 590 are: 1, 2, 5, 10, 59, 118, 295, 590.
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 590 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
590 ÷ 2 = 295
295 ÷ 5 = 59
59 ÷ 59 = 1
The prime factors of 590 are 2, 5, and 59.
The prime factorization of 590 is: 2 × 5 × 59.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 590 is divided by 2 to get 295.
Step 2: Now divide 295 by 5 to get 59. Here, 59 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 590 is: 2 × 5 × 59.
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 590: (1, 590), (2, 295), (5, 118), and (10, 59).
Negative factor pairs of 590: (-1, -590), (-2, -295), (-5, -118), and (-10, -59).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A company has 590 employees and wants to create 5 equal teams. How many employees will be in each team?
Each team will have 118 employees.
To divide the employees equally, we need to divide the total number of employees by the number of teams.
590/5 = 118
A garden is rectangular, the length of the garden is 10 meters, and the total area is 590 square meters. Find the width?
59 meters.
To find the width of the garden, we use the formula,
Area = length × width
590 = 10 × width
To find the value of width, we need to shift 10 to the left side.
590/10 = width
Width = 59.
There are 295 training kits and 2 departments. How many kits will each department receive?
Each department will receive 147.5 kits.
To find the kits in each department, divide the total kits by the departments.
590/2 = 295
In a conference, there are 590 participants, and 59 groups. How many participants are there in each group?
There are 10 participants in each group.
Dividing the participants by the total groups, we will get the number of participants in each group.
590/59 = 10
590 books need to be arranged in 59 shelves. How many books will go on each shelf?
Each of the shelves has 10 books.
Divide total books by shelves.
590/59 = 10
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.