find the smallest number by which 704 must be divided to obtain perfect cube
Answers
Answered by
192
704 = 2× 2×2×2 ×2× 2× 11
so forming pairs of cube then 11 remains unpaired so it must be divided by 11 to make it a perfect cube.
Lets verify
704÷11 =64
64 is cube of 4
so forming pairs of cube then 11 remains unpaired so it must be divided by 11 to make it a perfect cube.
Lets verify
704÷11 =64
64 is cube of 4
JatinBawne:
my answer is also correct the difference is that you see my answer and then you solve
Answered by
129
Answer:
11 is the smallest number by which 704 must be divided to obtain perfect cube
Step-by-step explanation:
Given : Number = 704
To Find : Find the smallest number by which 704 must be divided to obtain perfect cube
Solution:
Prime factorization of 704
2 | 704
2 | 352
2 | 176
2 | 88
2 | 44
2 | 22
11 | 11
| 1
when we divide 704 by 2 we get 352 which is not a perfect cube
When we divide 704 by 11 we get 64 which is perfect cube
So, 11 is the smallest number by which 704 must be divided to obtain perfect cube
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