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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

    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
    Luc Pattyn
    wrote on last edited by
    #2

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

    Luc Pattyn [My Articles] Nil Volentibus Arduum

    S M F 3 Replies Last reply
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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

      R Offline
      R Offline
      riced
      wrote on last edited by
      #3

      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.

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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

        D Offline
        D Offline
        David1987
        wrote on last edited by
        #4

        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]

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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
          stephen darling
          wrote on last edited by
          #5

          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

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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

            S Offline
            S Offline
            stephen darling
            wrote on last edited by
            #6

            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

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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.

                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

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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.

                                    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
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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

                                        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

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