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  4. How do I generate a number divisable by 5, and check it?

How do I generate a number divisable by 5, and check it?

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  • S stephen darling

    Does this mean that no matter what number I generate, it will always have to end in 5? e.g. All these numbers are divisable by 5

    39485
    99045
    12095
    49385
    99335

    However, I was under the impression I could generate numbers that would be divisable by 5, but not end in 5? Is this wrong? Regards, Stephen

    R Offline
    R Offline
    riced
    wrote on last edited by
    #8

    Look at what I said - add 5 or 10. If a number is divisible by 5 it must end in 5 or 0 - that's primary school arithmetic. If you don't believe me write out the 5 times table for the numbers 1 to 20.

    Regards David R --------------------------------------------------------------- "Every program eventually becomes rococo, and then rubble." - Alan Perlis The only valid measurement of code quality: WTFs/minute.

    S K 2 Replies Last reply
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    • D David1987

      Numbers that end in 0 are also divisible by 5 (except zero) So you're right.

      L Offline
      L Offline
      Luc Pattyn
      wrote on last edited by
      #9

      David1987 wrote:

      except zero

      :confused::confused::confused:

      Luc Pattyn [My Articles] Nil Volentibus Arduum

      D 1 Reply Last reply
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      • S stephen darling

        Luc Pattyn wrote:

        a random multiple of five is bound to be five times some other random number. :OMG:

        ? What do you mean? Regards, Stephen

        M Offline
        M Offline
        Manfred Rudolf Bihy
        wrote on last edited by
        #10

        What Luc meant was that you should just create a random integer number and the go and multiply it by five. This will always give you a number which is divisible by 5, to state the obvious. The only thing I would add is if you are given a range in which the numbers should lie you'd need some adjustment.

        Random rnd = new Random();

        int lowerBound = 2001; // not divisable 5 five
        lowerBound = lowerBound + ( 5 - lowerBound % 5 ); // make lowerBound divisable by five

        int upperBound = 10023; // not divisable by five
        upperBound = upperBound - ( upperBound % 5 ); // make upperBound divisable by five

        int range = (upperBound - lowerBound) / 5; // calculate the range of numbers

        int number = lowerBound + rnd.Next( range ) * 5; // presto

        Cheers!

        —MRB

        "With sufficient thrust, pigs fly just fine."

        Ross Callon, The Twelve Networking Truths, RFC1925

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        • L Luc Pattyn

          a random multiple of five is bound to be five times some other random number. :omg:

          Luc Pattyn [My Articles] Nil Volentibus Arduum

          M Offline
          M Offline
          Manfred Rudolf Bihy
          wrote on last edited by
          #11

          Stating the obvious! 5+ :-D :thumbsup:

          "With sufficient thrust, pigs fly just fine."

          Ross Callon, The Twelve Networking Truths, RFC1925

          1 Reply Last reply
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          • R riced

            Look at what I said - add 5 or 10. If a number is divisible by 5 it must end in 5 or 0 - that's primary school arithmetic. If you don't believe me write out the 5 times table for the numbers 1 to 20.

            Regards David R --------------------------------------------------------------- "Every program eventually becomes rococo, and then rubble." - Alan Perlis The only valid measurement of code quality: WTFs/minute.

            S Offline
            S Offline
            stephen darling
            wrote on last edited by
            #12

            riced wrote:

            If a number is divisible by 5 it must end in 5 or 0

            Yes; I was getting confused with the coding issue not the actual math.

            riced wrote:

            that's primary school arithmetic.

            I know, I am a Biomedical Scientist.

            riced wrote:

            If you don't believe me write out the 5 times table for the numbers 1 to 20.

            I do believe you. Like I said, it was the coding side of things. However, it is my fault the way I explained myself, it did indeed look as though I didn’t understand the math itself, and I certainly was not questioning you answer. Sorry if it came across that way, and thank you. Kind Regards, Stephen

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            • L Luc Pattyn

              David1987 wrote:

              except zero

              :confused::confused::confused:

              Luc Pattyn [My Articles] Nil Volentibus Arduum

              D Offline
              D Offline
              David1987
              wrote on last edited by
              #13

              It depends on the definition of divisibility that you use. Zero can also be divisible by anything, if you use an other definition.

              L 1 Reply Last reply
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              • R riced

                Generate a four digit random number, multiply it by 10, add 5 (or 10). The result will be divisible by 5.

                Regards David R --------------------------------------------------------------- "Every program eventually becomes rococo, and then rubble." - Alan Perlis The only valid measurement of code quality: WTFs/minute.

                S Offline
                S Offline
                Simon Bang Terkildsen
                wrote on last edited by
                #14

                you shouldn't add 5 or 10 but 5 or 0. In the case the random generator provides 9999 then you would get 9999 * 10 + 10 = 99990 + 10 = 100000 six digits

                1 Reply Last reply
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                • D David1987

                  It depends on the definition of divisibility that you use. Zero can also be divisible by anything, if you use an other definition.

                  L Offline
                  L Offline
                  Luc Pattyn
                  wrote on last edited by
                  #15

                  BS.

                  zero times x equals zero, no matter what (finite) value x has.

                  so (the right side's) zero is divisible by x, and the result is (the left side's) zero. If I hold 10 pies, 5 bacon sandwiches, and zero glasses of milk, I have no problem distributing them evenly to 5 people. Next you'll state you could also redefine 5, so it no longer divides itself. :)

                  Luc Pattyn [My Articles] Nil Volentibus Arduum

                  OriginalGriffO D 2 Replies Last reply
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                  • L Luc Pattyn

                    BS.

                    zero times x equals zero, no matter what (finite) value x has.

                    so (the right side's) zero is divisible by x, and the result is (the left side's) zero. If I hold 10 pies, 5 bacon sandwiches, and zero glasses of milk, I have no problem distributing them evenly to 5 people. Next you'll state you could also redefine 5, so it no longer divides itself. :)

                    Luc Pattyn [My Articles] Nil Volentibus Arduum

                    OriginalGriffO Offline
                    OriginalGriffO Offline
                    OriginalGriff
                    wrote on last edited by
                    #16

                    Luc Pattyn wrote:

                    Next you'll state you could also redefine 5, so it no longer divides itself.

                    It doesn't. There are only four bacon sandwiches left... :laugh:

                    Real men don't use instructions. They are only the manufacturers opinion on how to put the thing together. Manfred R. Bihy: "Looks as if OP is learning resistant."

                    "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
                    "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

                    L 1 Reply Last reply
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                    • L Luc Pattyn

                      BS.

                      zero times x equals zero, no matter what (finite) value x has.

                      so (the right side's) zero is divisible by x, and the result is (the left side's) zero. If I hold 10 pies, 5 bacon sandwiches, and zero glasses of milk, I have no problem distributing them evenly to 5 people. Next you'll state you could also redefine 5, so it no longer divides itself. :)

                      Luc Pattyn [My Articles] Nil Volentibus Arduum

                      D Offline
                      D Offline
                      David1987
                      wrote on last edited by
                      #17

                      Nope. You seem to think that that is the only definition of divisibility. I did not personally redefine anything. There is no natural number n such that 0/x=n so no x evenly divides 0. If you use the definition with integers instead of natural numbers, everything divides zero. Also, the prime factorization of zero is empty.

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                      • S stephen darling

                        Hi. First, how would I create a random number, and then add the last digit, so that it is divisable by 5? the number should always be 5 digits long. Second, how do I check it, I think I need to do something like...

                        if (int x MOD 5 ==0)

                        Or something like that. The first step is the most important though. Thank you, Steve

                        L Offline
                        L Offline
                        Lost User
                        wrote on last edited by
                        #18

                        Didn't you already post this in the Q&A and get an answer to it?? Generating numbers to the multiple of 5?[^]

                        Computers have been intelligent for a long time now. It just so happens that the program writers are about as effective as a room full of monkeys trying to crank out a copy of Hamlet.

                        1 Reply Last reply
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                        • D David1987

                          Nope. You seem to think that that is the only definition of divisibility. I did not personally redefine anything. There is no natural number n such that 0/x=n so no x evenly divides 0. If you use the definition with integers instead of natural numbers, everything divides zero. Also, the prime factorization of zero is empty.

                          L Offline
                          L Offline
                          Luc Pattyn
                          wrote on last edited by
                          #19

                          natural numbers are the ordinary counting numbers 1, 2, 3, ... (sometimes zero is also included) is what Wikipedia[^] offers as a definition. Now you can choose: either you include zero and you are allowed to use it at both sides of your 0/x=n, or you exclude it (and then your "except zero" remark that started all this is completely irrelevant). :doh:

                          Luc Pattyn [My Articles] Nil Volentibus Arduum

                          D 1 Reply Last reply
                          0
                          • OriginalGriffO OriginalGriff

                            Luc Pattyn wrote:

                            Next you'll state you could also redefine 5, so it no longer divides itself.

                            It doesn't. There are only four bacon sandwiches left... :laugh:

                            Real men don't use instructions. They are only the manufacturers opinion on how to put the thing together. Manfred R. Bihy: "Looks as if OP is learning resistant."

                            L Offline
                            L Offline
                            Luc Pattyn
                            wrote on last edited by
                            #20

                            Sorry for the late reply, I have been off-line this evening, I have another tournament going on this week. I trust all bacon sandwiches have magically disappeared by now, and so the problem got solved? :)

                            Luc Pattyn [My Articles] Nil Volentibus Arduum

                            1 Reply Last reply
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                            • S stephen darling

                              riced wrote:

                              If a number is divisible by 5 it must end in 5 or 0

                              Yes; I was getting confused with the coding issue not the actual math.

                              riced wrote:

                              that's primary school arithmetic.

                              I know, I am a Biomedical Scientist.

                              riced wrote:

                              If you don't believe me write out the 5 times table for the numbers 1 to 20.

                              I do believe you. Like I said, it was the coding side of things. However, it is my fault the way I explained myself, it did indeed look as though I didn’t understand the math itself, and I certainly was not questioning you answer. Sorry if it came across that way, and thank you. Kind Regards, Stephen

                              M Offline
                              M Offline
                              Mycroft Holmes
                              wrote on last edited by
                              #21

                              Your confusion did lead me to think - how old is this guy, doesn't understand primary grade maths :-D

                              Never underestimate the power of human stupidity RAH

                              1 Reply Last reply
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                              • L Luc Pattyn

                                natural numbers are the ordinary counting numbers 1, 2, 3, ... (sometimes zero is also included) is what Wikipedia[^] offers as a definition. Now you can choose: either you include zero and you are allowed to use it at both sides of your 0/x=n, or you exclude it (and then your "except zero" remark that started all this is completely irrelevant). :doh:

                                Luc Pattyn [My Articles] Nil Volentibus Arduum

                                D Offline
                                D Offline
                                David1987
                                wrote on last edited by
                                #22

                                Yes but that's precisely the point, you can choose.

                                1 Reply Last reply
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                                • D David1987

                                  Generate a random integer in [2000, 19999] and multiply it by 5. The result will always be in [10000, 99999] (ie 5 decimal digits) and be divisible by 5 (by construction)

                                  int yourNumber = 5 * rand.Next(2000, 20000); // remember the max-bound is exclusive
                                  if (yourNumber % 5 != 0)
                                  Console.WriteLine("the universe is wrong");

                                  And make sure you reuse a single instance of Random, if you create new ones the result won't be random. [/spoon feeding]

                                  S Offline
                                  S Offline
                                  stephen darling
                                  wrote on last edited by
                                  #23

                                  David1987 wrote:

                                  And make sure you reuse a single instance of Random,

                                  How exactly do I ensure that I am doing this? I am using rand a number of times, and although I get different values, it does appear that they are very simular. Regards, Stephen

                                  1 Reply Last reply
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                                  • D David1987

                                    Nope. You seem to think that that is the only definition of divisibility. I did not personally redefine anything. There is no natural number n such that 0/x=n so no x evenly divides 0. If you use the definition with integers instead of natural numbers, everything divides zero. Also, the prime factorization of zero is empty.

                                    B Offline
                                    B Offline
                                    BobJanova
                                    wrote on last edited by
                                    #24

                                    That is a stupid definition. It would also indicate that -10 is not divisible by 5. There may be abstruse mathematical concepts for which it's useful, I suppose, but for normal maths it is nonsense.

                                    D 1 Reply Last reply
                                    0
                                    • S stephen darling

                                      Does this mean that no matter what number I generate, it will always have to end in 5? e.g. All these numbers are divisable by 5

                                      39485
                                      99045
                                      12095
                                      49385
                                      99335

                                      However, I was under the impression I could generate numbers that would be divisable by 5, but not end in 5? Is this wrong? Regards, Stephen

                                      G Offline
                                      G Offline
                                      Gary Wheeler
                                      wrote on last edited by
                                      #25

                                      All integers evenly divisible by 5 must end in either 5 or 0 when expressed in base 10. This is basic math.

                                      Software Zen: delete this;

                                      1 Reply Last reply
                                      0
                                      • S stephen darling

                                        Hi. First, how would I create a random number, and then add the last digit, so that it is divisable by 5? the number should always be 5 digits long. Second, how do I check it, I think I need to do something like...

                                        if (int x MOD 5 ==0)

                                        Or something like that. The first step is the most important though. Thank you, Steve

                                        T Offline
                                        T Offline
                                        Tom Chantler
                                        wrote on last edited by
                                        #26

                                        Is this a joke question? Generate a four digit number and add an extra number to the end, being either 5 or 0. Then don't check it because it will be correct!!! e.g. 4678; add 5 on the end to give 46785.

                                        M 1 Reply Last reply
                                        0
                                        • S stephen darling

                                          Hi. First, how would I create a random number, and then add the last digit, so that it is divisable by 5? the number should always be 5 digits long. Second, how do I check it, I think I need to do something like...

                                          if (int x MOD 5 ==0)

                                          Or something like that. The first step is the most important though. Thank you, Steve

                                          P Offline
                                          P Offline
                                          Paulo_JCG
                                          wrote on last edited by
                                          #27

                                          Random random = new Random(); return (random.Next(17999) + 2000) * 5; this gives a number divisable by 5 between 10000 and 99995

                                          Paulo Gomes Over and Out :D

                                          1 Reply Last reply
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