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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

    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

                                        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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