Question

Write all the factors of the following number: $ 20 $ .

Answer 1

Hint: We know that factors are defined as numbers which can divide a parent number completely without leaving a remainder. In other words we can say it is also known as the product of multiple factors. We will be using the fact that factors of a number are numbers which completely divides the number.

Complete step-by-step answer:
As per the question we have the number: $ 20 $ . We have to find the numbers which divide $ 24 $ completely. So we will first find the prime factorization of this number.
We can write it as $ 20 = 2 \times 2 \times 5 $ . These are the prime factors. It can also be written as $ {2^2} \times 5 $ .
We know that any number has two factors for sure i.e. $ 1 $ and itself, and here the number itself is $ 20 $ . Now we take different combinations of all the prime factors.
WE have the factors as: $ 20 = 1 \times 20,20 = 2 \times 10,20 = 4 \times 5 $ and $ 20 = 5 \times 4 $ .
Hence the factors of $ 20 $ are $ 1,2,4,5,10 $ and $ 20 $ .

Note: To solve these types of questions we must know to factorize a number and find all its possible combinations which results in distinct factors. We should note that in prime factorisation, we will always have prime numbers as factors. We should note that there are two other methods to find factors under this, they are longer methods- Division method and Factor tree method.