Question

Find the smallest number by which 1734 must be divided so that the quotient obtained is a perfect square.

Answer 1

Answer: Here it is

Step-by-step explanation:

First find the prime factors of 1734

Prime Factors of 1734 =2, 3, 17, 17

Which is the same as = 2 x 3 x 17^2

We can see that 2 and 3 are single

So 2×3 which is 6

So your answer is 6 .

6 is the least number which should be divided by 1734 to get a perfect square number

Verification 1734÷6 = 289

Which is 17 ' s square

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