Question

By what least number should 1536 be divided to get a perfect square

Answer 1

Step-by-step explanation:

get the prime factor of the numbers

and then find the unpaired numbered

that unpaired number is the number by which 1536 should be divided to get the perfect square

Answer 2

1536 = 2*2*2*2*2*2*2*2*2*3

so, to be a perfect square , prime factors of a number should be in pair .

so the required pair = 2*2*2*2*2*2*2*2*2*3

so the number 1536, should be divided by 2*3 = 6, in order to get a perfect square

and the perfect square = 1536/6 = 256 = 16²

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