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If x is an integer, what is the smallest possible value of x
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Updated on: 10 Aug 2020, 06:34
Updated on: 10 Aug 2020, 06:34
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Q7. If x is an integer, what is the smallest possible value of x such that 1080000*x is a perfect cube of an integer?
A. 5
B. 10
C. 15
D. 25
E. 130
A. 5
B. 10
C. 15
D. 25
E. 130
Re: If x is an integer, what is the smallest possible value of x
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10 Aug 2020, 06:26
10 Aug 2020, 06:26
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The answer is not 5
Prime factorization of 1080000 is (2^6)(3^3)(5^4)
Therefore to make 10800000 a perfect cube we need two more 5's.
Not just one.
Once 5^4 becomes 5^6 we will have a perfect cube.
The answer should be 25
Prime factorization of 1080000 is (2^6)(3^3)(5^4)
Therefore to make 10800000 a perfect cube we need two more 5's.
Not just one.
Once 5^4 becomes 5^6 we will have a perfect cube.
The answer should be 25
Re: If x is an integer, what is the smallest possible value of x
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13 Jun 2025, 13:43
13 Jun 2025, 13:43
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