Question 71
HardOriginal questionWhat is the smallest natural number that has exactly 6 factors?
Show the answer and explanation
CorrectNot quiteAnswer A
Correct answer: A
Explanation
A number with 6 factors has the form or (since ).
Smallest is . Smallest is .
So the answer is 12 (factors 1, 2, 3, 4, 6, 12).
Worth noting
and also have 6 factors, but they are larger; put the bigger power on the smallest prime.
- Concept
- Building a number from its factor count
- Typical timeTypical
- 110 s
- Your timeYours
- —
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