16. What is the smallest number by which 1600 must be divided so that the
quotient is a perfect cube?
(T-1)(B-2013)
Answers
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3
The prime factorisation of 1600 is
1600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factor 5 does not appear in a group of 3.
Clearly, to make 1600 a perfect cube it must be divided by 5 x 5, i.e., 25. Then, we have:
1600 
1600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factor 5 does not appear in a group of 3.
Clearly, to make 1600 a perfect cube it must be divided by 5 x 5, i.e., 25. Then, we have:
1600 
Answered by
0
Answer:
4 is the answer.
Step-by-step explanation:
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