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SAT Subject Test

What is the least positive integer that has the same number of positive factors as ?

### Select an Answer

Correct Answer:

No

Correct Answer:

No

Correct Answer:

Yes

Correct Answer:

No

Correct Answer:

No

### View Correct Answer

The number is equal to . It has a total of positive factors: , , , , , and . The numbers with positive factors are of the form ** **or . The least number of the first form is . The least number of the second form is . Thus, the answer is , which has the positive factors , , , , , and .

You could also test each of the choices, but that may take additional time.

Question Difficulty:

medium