Posted by **Jeff** on Wednesday, January 16, 2013 at 4:25am.

Aliquot divisors are all the divisors of a number except the number itself. The product of the Aliquot divisors of a number is somtimes equal to the square of the number. The Aliquot divisors of of 12 are 1 ,2 ,3 ,4 ,6. Their product,1x2x3x4x6=144=12*2 is the smallest number with this property. Three other numbers less than 30 have this property. Find two of them.

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**MathMate**, Wednesday, January 16, 2013 at 8:20am
If you notice that numbers with the required property has two pairs of factors, for example, for 12, we have

2*6, 4*3.

Which means that numbers divisible by 4 are more likely to have this property.

Can you find them?

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