Numbers

Divanhot SG

If x and 105/x are both natural numbers, list down all the possible values of x.

I understand natural numbers are from positive integers from 1 onwards. so x cannot exceed 105.

my answer is ( 1,2,3... all the way of increasing order of +1 to 105)

but my answer is wrong. can the maths genius explain, thanks!

nightzip SG

In order for 105/x to be an integer, hence we need factors of 105 so that whatever is divided will become an integer.

So, some values of x will be 1, 3, etc…

Divanhot SG

hi the factors of 105 are 1,3,5,7,15,21,35, and 105

but the answer is only 1,3,5,7, 35 and 105, meaning 15 & 21 not considered( i thought should be in the answer cuz when 105/15= 7 and 105/21= 5, both are integers)..how come not right?

Forbiddensinner SG

hi the factors of 105 are 1,3,5,7,15,21,35, and 105

but the answer is only 1,3,5,7, 35 and 105, meaning 15 & 21 not considered( i thought should be in the answer cuz when 105/15= 7 and 105/21= 5, both are integers)..how come not right?

I do not wish to argue with your answer sheet, but 15 and 21 should be considered answers too, unless they have some other mathematical conditions listed down.

Only-Way-4-Destiny! SG

15 and 21 should be in too.