Question

What is the smallest number of 180 which should be multiplied to comes a perfect square?

Answer 1

Question:

What is the smallest number which should be multiplied with 180 to get a perfect square?

Answer with explanation:

  ⇒ Prime factorization of 180.

180 = 2 × 2 × 3 × 3 × 5

Here, to make 180 a perfect square, we can either divide 180 by 5, or multiply 5 to 180.

  ⇒ When we divide 180 by 5, it becomes 2 × 2 × 3 × 3 = (2 × 3)² = 6².

  ⇒ When we multiply 180 by 5, it becomes 2 × 2 × 3 × 3 × 5 × 5 = (2 × 3 × 5)² = 30²

So the answer could either be 1/5 or be 5, but also there's not mentioned 'natural number' in the question; only number! Fraction is also a number!