Lesson: Data Sufficiency Challenging - 23t04

Unexpected Combinations: Example 2

[Page 23 of 24]

If the factors of the positive integer x have an average (arithmetic mean) of 6, what is the value of x?


1) x2 has exactly 3 distinct integer factors.

2) x is a prime number.

This question stem is testing both the average formula and factor knowledge. We'll need to consider both concepts in answering the question. The average formula appears below. How might we use it to answer the question?

Fill in the textboxes with information provided in the question stem, and then click Continue.

 = 

Review Statement 1 below. Is it sufficient or insufficient? Select the correct answer and then click Continue.

1) x2 has exactly 3 distinct integer factors.

  Sufficient Insufficient    

Review Statement 2 below. Is it sufficient or insufficient? Select the correct answer and then click Continue.

2) x is prime.

  Sufficient Insufficient    

Countinue

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