Having issue with wording here. can someone help?
#132.
If the integer n>1, is n =2?
1) n has exactly two positive factors
2) the Difference of any two distinct positive factors of n is odd.
the Answer is B. #2 is sufficient
However .. see below
Answer:
1) n is a prime number, but n could be = to 2, 3, 5, etc. Not sufficient.
2) if n is 5.. factors are 5 and 1.. so difference is even. So could be 2. 2-1 = odd number
BUT, what about 6 -- 6-1. odd number. what about 3-2 = odd number. N and 1 are still factors.
Am i missing something in the language in Assumption #2? In #2, we stll dont know that N is a prime number. But the answer is B....
#132.
If the integer n>1, is n =2?
1) n has exactly two positive factors
2) the Difference of any two distinct positive factors of n is odd.
the Answer is B. #2 is sufficient
However .. see below
Answer:
1) n is a prime number, but n could be = to 2, 3, 5, etc. Not sufficient.
2) if n is 5.. factors are 5 and 1.. so difference is even. So could be 2. 2-1 = odd number
BUT, what about 6 -- 6-1. odd number. what about 3-2 = odd number. N and 1 are still factors.
Am i missing something in the language in Assumption #2? In #2, we stll dont know that N is a prime number. But the answer is B....
