{nl} Hmmmm...my first answer was not correct. But what about 4000 ?
1 2 4 5 8 10 20 40 50 100 200 400 500 1000 4000 has 15 ! and it's smaller than 4096
2000
1 2 4 5 10 20 50 100 200 400 500 1000 4000 13 ! and smaller than 4096
1500
1 2 3 5 10 20 50 75 100 300 500 750 1500 13 ! and smaller still
1200
1 2 3 4 5 6 10 12 20 50 100 150 200 300 400 600 1200 17 ! and smaller still
There may be smaller still......
900
1 2 3 4 5 6 10 20 30 50 60 100 150 300 900 15 !
600
1 2 3 4 5 6 10 20 30 50 75 100 200 300 600 15 !
300
1 2 3 4 5 6 10 15 20 50 60 75 100 300 14 !
240
1 2 3 4 5 6 8 10 12 20 30 40 80 120 240 15!
Maybe 240??
120
1 2 3 4 5 6 8 10 12 15 20 30 40 60 120
120??? is maybe the answer?
Hard to say....if you are talking about WHOLE numbers AND you can use them more than once
then 1^13 = 13
If you cannot use the same factor twice then 13! would be an answer
(13x12x11x10x19x8x7x6x5x4x3x2x1)
If you can use NEGATIVES then SMALLEST number takes on a whole new meaning as any negative is smaller than any positive number...
+5265 2^12 = 4,096
So you have 13 factors, one of the factors is 1, so take that out. Then give 2 the power of 12 to find the number.
The factors are:1,2,4,8,16,32,64,128,256,512,1024,2048,4096
{nl} Hmmmm...my first answer was not correct. But what about 4000 ?
1 2 4 5 8 10 20 40 50 100 200 400 500 1000 4000 has 15 ! and it's smaller than 4096
2000
1 2 4 5 10 20 50 100 200 400 500 1000 4000 13 ! and smaller than 4096
1500
1 2 3 5 10 20 50 75 100 300 500 750 1500 13 ! and smaller still
1200
1 2 3 4 5 6 10 12 20 50 100 150 200 300 400 600 1200 17 ! and smaller still
There may be smaller still......
900
1 2 3 4 5 6 10 20 30 50 60 100 150 300 900 15 !
600
1 2 3 4 5 6 10 20 30 50 75 100 200 300 600 15 !
300
1 2 3 4 5 6 10 15 20 50 60 75 100 300 14 !
240
1 2 3 4 5 6 8 10 12 20 30 40 80 120 240 15!
Maybe 240??
120
1 2 3 4 5 6 8 10 12 15 20 30 40 60 120
120??? is maybe the answer?
+118608 what is the smallest number with 13 factors?
Mmm, it does not say prime factors
1,2,3,4,6,8,9,12,16,18,24,27,32 that 13
2^5* 3^3 = 864
I think 864 has 13 factors but it might not be the smallest.
1,2,3,4,5,6,8,9,10,12,15,16, 18
1*2*2*2*2 * 3*3* 5 = 16*9*5 = 720
I think that 720 has 13 factors
How about
1,2,4,8,16,32,64,128,256,......2^12
2^12 = 4096
Mmm
Ok I am guessing at 720 :)
Can you find a smaller number with 13 factors?
