Find the smallest number by which 3888 should be multiplied so that the product is a perfect square

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Question 1000895: what is the least number to be multiplied by 3888 to make it a complete square
Found 2 solutions by Edwin McCravy, Alan3354:Answer by Edwin McCravy[19211]   [Show Source]:

You can put this solution on YOUR website!

We prime factor 3888 3888 / \ 2 1944 / \ 2 972 / \ 2 486 / \ 2 243 / \ 3 81 / \ 3 27 / \ 3 9 / \ 3 3 So 3888 = 2435 To be a complete square, a positive integer must either be an even power of a prime, or expressible as the product of even powers of primes. 3888 is expressible as the product of an even power of 2 and an odd power of 3. So the smallest number we could multiply 3888 by to get a complete square is 3, so that we would have 2436, which is a product of even powers of primes 2 and 3. Answer: 2 Checking: 3888�3 = 7776 = 1082 Edwin


Answer by Alan3354[68939]   [Show Source]:

You can put this solution on YOUR website!
Answer: 3
Checking: 3888�3 = 11664 = 108^2
Edwin did all the work, then dozed off at the end.


Is 3888 a perfect square?

Answer. 3888 is not a perfect square.

What is the least number to be multiplied to 3888 to make it a perfect cube?

A number would be perfect square and perfect cube both if it is perfect sixth power of some number Now , 3888 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 Therefore , to make 3888 as complete sixth power it needs to be multiplied by 2 × 2 × 3 Hence , 3888 is to be multiplied by 12 , so that product will be a perfect square as ...

What is the smallest number with which 4860 must be multiplied to make it a perfect cube?

Hence, the smallest number by which 4860 should be multiplied so that the product is a perfect cube is 150.

What is the smallest number by which 4851 should be multiplied so that the product becomes a perfect square?

Therefore, the smallest number by which 4851 must be multiplied so that the product becomes a perfect square is 11.

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