posted by Jeff .
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.
If you notice that numbers with the required property has two pairs of factors, for example, for 12, we have
Which means that numbers divisible by 4 are more likely to have this property.
Can you find them?