#3**+1 **

Thanks Guest,

**CU's question,**

why does doing 2^6 * 3 give 14 positive divisors?

Just count them

1,2,4,8,16,32 64 that is all the factors of 2^6

so that is 7 factor

then

1,3 are the only factors of 3 and you already have 1

so that is another factor, making 8 factors,

Then

2*3=6

4*3=12

8*3=24

16*3=48

32*3=96

64*3=192

So that is another 6

Making 8+6=14 factors altogether.

So 2^6*3 defiitely has 14 factors but I am not necessarily convinced that it is the smallest number with 14 factors.

Melody Nov 3, 2019