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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

    D Offline
    D Offline
    David1987
    wrote on last edited by
    #7

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

    L K 2 Replies Last reply
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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.

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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

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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.

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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

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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.

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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

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                            • 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

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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
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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

                                        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
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