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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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  • 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
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    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

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      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

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        David1987
        wrote on last edited by
        #7

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

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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.

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            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

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              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

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                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

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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.

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                  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

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                    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.

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                      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.

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                        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

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                            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

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                              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.

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                                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."

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                                  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

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                                    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]

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                                        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

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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.

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                                          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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