Question

Find the smallest natural number by which 580 should be divided to make it a perfect square. Also find the number whose square is the resulting number

Answer 1

We know that perfect square is obtained when a number is multiplied by itself.

Now, we do prime factorisation of 580 = 2 x 2 x 5 x 29
we see that in the above prime factorisation only 2 is repeated and 5 and 29 are multiplied only once,

Hence to make 580 a perfect square we divide it by 145 (=5x9) to get 4, which is a perfect square of the number 2.

Answer 2

Explanation:

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