Posted by **karen** on Tuesday, February 23, 2010 at 7:59pm.

i am thinking of a number between 20 and 50. it is an even number. it has exactly 9 factors. what is the number?

- math -
**MathMate**, Tuesday, February 23, 2010 at 8:35pm
If it has exactly 9 factors, it must be a perfect square, as only perfect squares have an odd number of factors (including 1 and the number itself).

Between 20 and 50, there are 3 perfect squares, only one of which has more than three factors.

Post if further help is required.

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