Mahmud6 wrote:
A number \(N^2\) has 35 factors. How many factors can \(N\) have?
A. 6 or 10 factors
B. 8 or 14 factors
C. 10 or 16 factors
D. 12 or 18 factors
E. 14 or 20 factors
D is the answer as follows.
Sometime in GMAT where we have time crunch we have to consider specific case based on the answer options provided.
Here, particularly in this question just by considering a single prime factor will be sufficient to answer the question.
Lets assume \(a^p = N^2\) => since it has 35 factors including N^2, hence p = 34
For N the number of factors will be 17 (\(\frac{34}{2}\)). Considering N as one of the factor the number of factors will become 18.
Only D satisfies the condition, hence no need to consider the case of multiple prime factors.
Hope, I am clear.
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GMAT PREP 1: Q50 V34 - 700
Veritas Test 1: Q43 V34 - 630
Veritas Test 2: Q46 V30 - 620
Veritas Test 3: Q45 V29 - 610
Veritas Test 4: Q49 V30 - 650
GMAT PREP 2: Q50 V34 - 700
Veritas Test 5: Q47 V33 - 650
Veritas Test 5: Q46 V33 - 650