Posted by **rohit** on Thursday, May 16, 2013 at 9:21am.

What is the smallest positive integer with exactly 12 (positive) divisors?

- maths -
**Steve**, Thursday, May 16, 2013 at 11:28am
36 (2^2 3^2) seems likely

1 2 3 4 6 9 12 18 36 nope

48 (2^4 3^1)?

1 2 3 4 6 8 12 16 24 48 nope

72 (2^3 3^2)?

1 2 3 4 6 8 9 12 18 24 36 72

Yes

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