Question

What are the perfect square factors of 80?

Answer 1

Hint: We need to find those factors of 80, which are a perfect square. So, we should first find all the factors, and then choose the ones which are perfect squares. These numbers will be the perfect square factors of 80.

Complete step by step answer:
Here, in this question, we need to find those factors of the number 80, which are a perfect square. So, let us first find all the factors of 80.
We know that 1 is a factor of each and every number. So, 1 is a factor of 80.
We can see that 80 is an even number and so divisible by 2. So, 2 is a factor of 80.
We know that 80 is divisible by 4. So, 4 is a factor of 80.
We know that 80 is divisible by 5. So, 5 is a factor of 80.
We know that 80 is divisible by 8. So, 8 is a factor of 80.
We know that 80 is divisible by 10. So, 10 is a factor of 80.
We know that 80 is divisible by 16. So, 16 is a factor of 80.
We know that 80 is divisible by 20. So, 20 is a factor of 80.
We know that 80 is divisible by 40. So, 40 is a factor of 80.
We know that 80 is divisible by 80. So, 80 is also a factor of 80.
So, all the factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.
We can clearly see that, out of these factors, 1, 4 and 16 are perfect squares.

So, the perfect square factors of 80 are 1, 4 and 16.

Note: We must not forget that 1 and 80 are also the factors of 80. It is also worth remembering that 1 is a perfect square. It is easy for us to understand that there can be no factors of 80 between 41 and 79.