Question

Write the prime factors of $ 360 $

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 can write the above numbers as a product of their prime factors. The numbers that are factors of a number as well as prime in nature, are called prime factors.

Complete step-by-step answer:
As per the question we have $ 360 $ . We will write this number in the terms sof factors i.e. prime factors.
We can write it as $ 360 = 2 \times 2 \times 2 \times 3 \times 3 \times 5 $ . These are the prime factors. It can also be written as $ {2^3} \times {3^2} \times {5^1} $ .
Hence these are the prime factors of $ 360 $ .

Note: The numbers that are divisible by $ 1 $ and itself are called prime factors. We should know that $ 2 $ is the smallest even prime number. We should note that in prime factorisation, we will always have prime numbers as factors. There is also another property of prime numbers which is that it must be greater than $ 1 $ . We should note that there are two other methods to find factors under this, they are longer methods- Division method and Factor tree method.