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 20, how they are used in real life, and tips to learn them quickly.
The numbers that divide 20 evenly are known as factors of 20. A factor of 20 is a number that divides the number without remainder. The factors of 20 are 1, 2, 4, 5, 10, and 20. Negative factors of 20: -1, -2, -4, -5, -10, and -20. Prime factors of 20: 2 and 5. Prime factorization of 20: 2² × 5. The sum of factors of 20: 1 + 2 + 4 + 5 + 10 + 20 = 42
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 20. Identifying the numbers which are multiplied to get the number 20 is the multiplication method. Step 1: Multiply 20 by 1, 20 × 1 = 20. Step 2: Check for other numbers that give 20 after multiplying 2 × 10 = 20 4 × 5 = 20 Therefore, the positive factor pairs of 20 are: (1, 20), (2, 10), (4, 5). All these factor pairs result in 20. 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 20 by 1, 20 ÷ 1 = 20. Step 2: Continue dividing 20 by the numbers until the remainder becomes 0. 20 ÷ 1 = 20 20 ÷ 2 = 10 20 ÷ 4 = 5 20 ÷ 5 = 4 Therefore, the factors of 20 are: 1, 2, 4, 5, 10, 20.
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 a factor tree Using Prime Factorization: In this process, prime factors of 20 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 20 ÷ 2 = 10 10 ÷ 2 = 5 5 ÷ 5 = 1 The prime factors of 20 are 2 and 5. The prime factorization of 20 is: 2² × 5.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 20 is divided by 2 to get 10. Step 2: Now divide 10 by 2 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 20 is: 2² × 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 20: (1, 20), (2, 10), (4, 5). Negative factor pairs of 20: (-1, -20), (-2, -10), (-4, -5).
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 friends and 20 pencils. How will they divide it equally?
They will get 5 pencils each.
To divide the pencils equally, we need to divide the total pencils with the number of friends. 20/4 = 5
A garden is rectangular, the length of the garden is 5 meters and the total area is 20 square meters. Find the width?
4 meters.
To find the width of the garden, we use the formula, Area = length × width 20 = 5 × width To find the value of width, we need to shift 5 to the left side. 20/5 = width Width = 4.
There are 10 gift boxes and 20 chocolates. How many chocolates will be in each box?
Each box will have 2 chocolates.
To find the chocolates in each box, divide the total chocolates by the boxes. 20/10 = 2
In a class, there are 20 students, and 5 groups. How many students are there in each group?
There are 4 students in each group.
Dividing the students by the total groups, we will get the number of students in each group. 20/5 = 4
20 apples need to be arranged in 4 baskets. How many apples will go in each basket?
Each of the baskets has 5 apples.
Divide total apples by baskets. 20/4 = 5
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 20 are 1, 2, 4, 5, 10, and 20. Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 20. 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 20 are (1, 20), (2, 10), etc. Multiple: A number that can be divided by another number without a remainder. For example, 20 is a multiple of 4. Divisor: A number by which another number is to be divided. In the context of factors, divisors are the same as factors. For example, 4 is a divisor of 20.
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.