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nandansingh
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Statement Inandansingh wrote:How many different prime numbers are factors of positive integer n?
1.Four different prime numbers are factors of 2n.
2.Four different prime numbers are factors of n^2.
OA: b[/list]
Four different prime numbers are factors of 2n
let n=3*5*7, prime factors 3
2n = 2*5*7*3, prime factors, 4
Let n= 2*3*5*7,prime factors 4
2n = 2*2*3*5*7, prime factors 4
Insufficient.
Statement II
if n^2 has four different factors, n will also have 4 different prime factors. Because when we square an integer we are actually raising the powers of its prime factors.
Sufficient.
Hence B.
Hope this helps.
