What is a smallest number by which 2560 is to be multiplied so that the product
is a perfect cube?
2 2560
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What is a smallest number by which 2560 is to be multiplied so that the product
is a perfect cube?
2 2560
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Answer:
hope it would be helpful for u
Step-by-step explanation:
2560×25 = 64000. which is a perfect cube. hence the smallest no by which 2560 must be multiplied so that product is perfect cube = 5×5=25.
Answer:
Answer
Prime factorising 2560, we get,
2560=2
9
×5.
We know, a perfect cube has multiples of 3 as powers of prime factors.
Here, number of 2's is 9 and number of 5's is 1.
So we need to multiply another 5
2
in the factorization to make 2560 a perfect cube.
Hence, the smallest number by which 2560 must be multiplied to obtain a perfect cube is 5
2
=25.
Step-by-step explanation: