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 90, how they are used in real life, and tips to learn them quickly.
The numbers that divide 90 evenly are known as factors of 90. A factor of 90 is a number that divides the number without remainder. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. Negative factors of 90: -1, -2, -3, -5, -6, -9, -10, -15, -18, -30, -45, and -90. Prime factors of 90: 2, 3, and 5. Prime factorization of 90: 2 × 3² × 5. The sum of factors of 90: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 30 + 45 + 90 = 234
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using the division method Prime factors and Prime factorization
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 90. Identifying the numbers which are multiplied to get the number 90 is the multiplication method. Step 1: Multiply 90 by 1, 90 × 1 = 90. Step 2: Check for other numbers that give 90 after multiplying 2 × 45 = 90 3 × 30 = 90 5 × 18 = 90 6 × 15 = 90 9 × 10 = 90 Therefore, the positive factor pairs of 90 are: (1, 90), (2, 45), (3, 30), (5, 18), (6, 15), (9, 10). For every positive factor, there is a negative factor.
Dividing the given numbers with 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 90 by 1, 90 ÷ 1 = 90. Step 2: Continue dividing 90 by the numbers until the remainder becomes 0. 90 ÷ 1 = 90 90 ÷ 2 = 45 90 ÷ 3 = 30 90 ÷ 5 = 18 90 ÷ 6 = 15 90 ÷ 9 = 10 Therefore, the factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
The factors can be found by dividing them 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 90 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 90 ÷ 2 = 45 45 ÷ 3 = 15 15 ÷ 3 = 5 5 ÷ 5 = 1 The prime factors of 90 are 2, 3, and 5. The prime factorization of 90 is: 2 × 3² × 5.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 90 is divided by 2 to get 45. Step 2: Now divide 45 by 3 to get 15. Step 3: Then divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 90 is: 2 × 3² × 5. 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 90: (1, 90), (2, 45), (3, 30), (5, 18), (6, 15), and (9, 10). Negative factor pairs of 90: (-1, -90), (-2, -45), (-3, -30), (-5, -18), (-6, -15), and (-9, -10).
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 9 teams and 90 players. How will they divide the players equally?
Each team will get 10 players.
To divide the players equally, we need to divide the total number of players by the number of teams. 90/9 = 10
A garden is rectangular, the length of the garden is 15 meters and the total area is 90 square meters. Find the width.
6 meters.
To find the width of the garden, we use the formula, Area = length × width 90 = 15 × width To find the value of the width, we need to shift 15 to the left side. 90/15 = width Width = 6.
There are 18 boxes and 90 chocolates. How many chocolates will be in each box?
Each box will have 5 chocolates.
To find the chocolates in each box, divide the total chocolates by the boxes. 90/18 = 5
In a company, there are 90 employees, and 5 departments. How many employees are there in each department?
There are 18 employees in each department.
Dividing the employees by the total departments, we will get the number of employees in each department. 90/5 = 18
90 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 18 books.
Divide total books by shelves. 90/5 = 18
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 90. 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 90 are (1, 90), (2, 45), etc. Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 90 is 2 × 3² × 5. Sum of factors: The total when all factors of a number are added together. For example, the sum of the factors of 90 is 234.
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.