Question

Medal for the best answer and explanation.

D) Find a number that has exactly
1. two factors 2. three factors 3. four factors
4. six factors
5. What is it special about these numbers? Explain.

Answer 1

Answers for questions 1-4 (I write)
1. 2
2. 4
3. 6
4. 12

Answer 2

oh u counted 1 also as a factor...

Answer 3

and the number itself, ok... looks legit :)

Answer 4

So how can I find the specialty of those numbers?

Answer 5

they're sum of previous numbers, is that some clue hmm

Answer 6

1. 2
2. 4
3. 6 = 4+2
4. 12 = 6+4+2

Answer 7

Thank you very much!

Answer 8

np :) thats all the q about ?

Answer 9

I can have more, but for now I don't have any.

Answer 10

also, are these the oly numbers that can have factors >= n/2
for ex,
12 has 6 factors : 12/2 = 6
6 has 4 factors : 6/2 = 3
...

Answer 11

gimme few minutes. il confirm, if we cannot have any other +ve integers that can have >= n/2 factors

Answer 12

1. 2
2. 4
3. 6, 8
4. 12

Answer 13

8 also has 4 factors !

so speciality about these numbers is this :-
Only these numbers can have factors >= n/2. Its not possible for other numbers