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Answers
Answer:
mark me.the brainliest
1)you can click that image(this is not mine)
2)What is the smallest number by which 1600
must be divided so that the quotient is a perfect cube?
Answer
Complete step-by-step answer:
We have been given a number, i.e., 1600,
we need to find the smallest number by which 1600
must be divided so that the quotient is a perfect cube.
The given number is 1600,
so we will start with factorizing the number 1600.
On factorization the number, we get
1600 = 2×2×2×2×2×2×5×5
So, we get the factors of 1600,
now we need to group the numbers in a group of three since it is given in the question that it has to be a perfect cube.
We can see above that the number 5
does not form a triplet, because it only contains two 5′s.
Hence, the number, 5×5=25,
i.e., 25
has to be divided so that the quotient becomes a perfect cube.
Thus, the smallest number by which 1600
must be divided so that the quotient is a perfect cube is 25.