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anonymous

  • 5 years ago

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)

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  1. anonymous
    • 5 years ago
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    1 because it doesn't have any factors other than itself and 3, 5, 7 because they're prime.

  2. anonymous
    • 5 years ago
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    if you want a guess i will guess 9

  3. anonymous
    • 5 years ago
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    1 works because 1 is a natural number and its factors are just one and itself. not counting itself and adding we get 1

  4. anonymous
    • 5 years ago
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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)

  5. anonymous
    • 5 years ago
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    i think the answer is 5

  6. anonymous
    • 5 years ago
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    oops maybe it is 3. the factors would have to be 1 and 2 yes?

  7. anonymous
    • 5 years ago
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    no - 3 is possible

  8. anonymous
    • 5 years ago
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    it says adds together the distinct factors of n other than n itself" not the number of factors

  9. anonymous
    • 5 years ago
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    hmm - i'm more confused now!

  10. anonymous
    • 5 years ago
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    i'm tempted to check the right answer - i have them here but not looked yet

  11. anonymous
    • 5 years ago
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    is my definition of distinct factors corredt

  12. anonymous
    • 5 years ago
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    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.

  13. anonymous
    • 5 years ago
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    i've googled distinct factors without success

  14. anonymous
    • 5 years ago
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    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.

  15. anonymous
    • 5 years ago
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    i gave up up on this one and had to check the answer!!

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