Paul takes a natural number n and adds together the distinct factors of n other than n itself. Which of these numbers can never be Paul's answer.
A. 1 B. 3 C. 5 D. 7 E. 9
(I saw this problem in a maths challenge exam and I assume that distinct factors mean all factors including 1 and n)
Stacey Warren - Expert brainly.com
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1 because it doesn't have any factors other than itself and 3, 5, 7 because they're prime.
if you want a guess i will guess 9
1 works because 1 is a natural number and its factors are just one and itself. not counting itself and adding we get 1
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no thats not the answer bendt - they are looking for the ANSWER of the addition. for example if you take number 4 factors are 1 2 which add up t 3 (B)
i think the answer is 5
oops maybe it is 3. the factors would have to be 1 and 2 yes?
no - 3 is possible
it says adds together the distinct factors of n other than n itself" not the number of factors
hmm - i'm more confused now!
i'm tempted to check the right answer - i have them here but not looked yet
is my definition of distinct factors corredt
the way i look at it is if my definition of distinct factors is correct then 3 cannot be the answer because for 4 they are 1 2 and 4 so the addition is 1 + 2 = 3.
i've googled distinct factors without success
they have used the definition i assumed.
if we take n = 2 factors- 1,2 - addition gives 1
n =3 - factors 1,3 - addition = 1
n = 4- factors 1,2,4 addition = 3
n=5 - factors 1,5 addition = 1
n=6 - factors 1,2,3,6 addition = 6
n=7 - factors 1,7 addition = 1
n=8 - factors 1,2,4,8 addition = 7
n=9 - factors 1,3,9 addition = 4
n=10 - factors 1,2,5,10 addition = 8
n = 11 gives
n=12 factors 1,2,3,4,6,12 addition = 16
n=13 give 1
n=14 factors = 1,2,7,14 addition = 10
n=15 factors = 1,3,5,15 addition = 9
so the answer is C.5
I thought it was 5 but to be honest it was a guess
There's more to this question than meets the eye - its quite tricky.
i gave up up on this one and had to check the answer!!