Question

What are the factors of $216$ and $215?$

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 $216$ and $215$. We will first find the factor of the first number and then we will find the factor of another.
First we have $216$. We can write it as $216 = 2 \times 2 \times 2 \times 3 \times 3 \times 3$. These are the prime factors. It can also be written as ${2^3} \times {3^3}$.
Now the second number is $215$. We can write it as $215 = 5 \times 43 \times 1$. These are the prime factors.
Hence these are the required factors of $216$ and $215$.

Note: We should note that there are common factors between two numbers but as we can see that there are no common factors in $216$ and $215$, except for $1$. 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.